{"id":6340,"date":"2025-08-14T14:11:57","date_gmt":"2025-08-14T12:11:57","guid":{"rendered":"https:\/\/futura.study\/blog\/?p=6340"},"modified":"2026-03-02T12:26:55","modified_gmt":"2026-03-02T10:26:55","slug":"calcolo-della-percentuale-formule-esempi-e-calcolatrice","status":"publish","type":"post","link":"https:\/\/futura.study\/blog\/metodo-di-studio\/calcolo-della-percentuale-formule-esempi-e-calcolatrice\/","title":{"rendered":"Calcolo della percentuale: formule, esempi e calcolatrice"},"content":{"rendered":"\n<!DOCTYPE html>\n<html lang=\"it\">\n<head>\n  <meta charset=\"UTF-8\">\n  <meta name=\"viewport\" content=\"width=device-width, initial-scale=1.0\">\n  <title>Calcolo Percentuale: Formula, Calcolatrice e Esempi | Futura.study<\/title>\n  <meta name=\"description\" content=\"Calcola le percentuali in modo semplice: formula base, calcolatrice online per sconti, IVA, variazioni e aumenti. Esempi pratici, trucchi veloci e flashcard di ripasso.\">\n  <link rel=\"canonical\" href=\"https:\/\/futura.study\/blog\/metodo-di-studio\/calcolo-della-percentuale-formule-esempi-e-calcolatrice\/\">\n  <meta property=\"og:title\" content=\"Calcolo Percentuale: Formula, Calcolatrice e Esempi | Futura.study\">\n  <meta property=\"og:description\" content=\"Guida completa al calcolo delle percentuali con calcolatrice online, formule, esempi pratici e flashcard di ripasso.\">\n  <meta property=\"og:url\" content=\"https:\/\/futura.study\/blog\/metodo-di-studio\/calcolo-della-percentuale-formule-esempi-e-calcolatrice\/\">\n  <meta property=\"og:type\" content=\"article\">\n  <meta property=\"og:site_name\" content=\"Futura.study\">\n  <meta name=\"twitter:card\" content=\"summary_large_image\">\n  <meta name=\"robots\" content=\"index, follow\">\n\n  <!-- Structured Data -->\n  <script type=\"application\/ld+json\">\n  {\n    \"@context\": \"https:\/\/schema.org\",\n    \"@graph\": [\n      {\n        \"@type\": \"Article\",\n        \"@id\": \"https:\/\/futura.study\/blog\/metodo-di-studio\/calcolo-della-percentuale-formule-esempi-e-calcolatrice\/#article\",\n        \"headline\": \"Calcolo Percentuale: Formula, Calcolatrice e Esempi Pratici\",\n        \"description\": \"Guida completa al calcolo delle percentuali con calcolatrice online, formule, esempi pratici e flashcard di ripasso.\",\n        \"author\": {\"@type\": \"Organization\", \"name\": \"Futura.study\"},\n        \"publisher\": {\n          \"@type\": \"Organization\",\n          \"name\": \"Futura.study\",\n          \"url\": \"https:\/\/futura.study\",\n          \"logo\": {\"@type\": \"ImageObject\", \"url\": \"https:\/\/futura.study\/wp-content\/uploads\/2025\/12\/Futura-logoblue-scaled-2-1.webp\"}\n        },\n        \"url\": \"https:\/\/futura.study\/blog\/metodo-di-studio\/calcolo-della-percentuale-formule-esempi-e-calcolatrice\/\",\n        \"inLanguage\": \"it\",\n        \"about\": [\n          {\"@type\": \"Thing\", \"name\": \"Calcolo percentuale\"},\n          {\"@type\": \"Thing\", \"name\": \"Matematica\"},\n          {\"@type\": \"Thing\", \"name\": \"Formula percentuale\"}\n        ]\n      },\n      {\n        \"@type\": \"HowTo\",\n        \"name\": \"Come calcolare una percentuale\",\n        \"description\": \"Guida passo passo per calcolare una percentuale con la formula base\",\n        \"step\": [\n          {\n            \"@type\": \"HowToStep\",\n            \"name\": \"Identifica il valore totale\",\n            \"text\": \"Individua il numero su cui vuoi calcolare la percentuale (es. 200).\"\n          },\n          {\n            \"@type\": \"HowToStep\",\n            \"name\": \"Moltiplica per la percentuale\",\n            \"text\": \"Moltiplica il valore totale per la percentuale desiderata (es. 200 \u00d7 15).\"\n          },\n          {\n            \"@type\": \"HowToStep\",\n            \"name\": \"Dividi per 100\",\n            \"text\": \"Dividi il risultato per 100. Otterrai la parte cercata: 200 \u00d7 15 \u00f7 100 = 30.\"\n          }\n        ]\n      },\n      {\n        \"@type\": \"FAQPage\",\n        \"mainEntity\": [\n          {\n            \"@type\": \"Question\",\n            \"name\": \"Come si calcola la percentuale di un numero?\",\n            \"acceptedAnswer\": {\n              \"@type\": \"Answer\",\n              \"text\": \"Per calcolare la percentuale di un numero usa la formula: Parte = Totale \u00d7 (Percentuale \u00f7 100). Ad esempio il 20% di 50 = 50 \u00d7 0,20 = 10.\"\n            }\n          },\n          {\n            \"@type\": \"Question\",\n            \"name\": \"Come calcolare la percentuale tra due numeri?\",\n            \"acceptedAnswer\": {\n              \"@type\": \"Answer\",\n              \"text\": \"Per calcolare che percentuale rappresenta un numero rispetto a un altro usa: Percentuale = (Parte \u00f7 Totale) \u00d7 100. Esempio: 15 su 60 = (15 \u00f7 60) \u00d7 100 = 25%.\"\n            }\n          },\n          {\n            \"@type\": \"Question\",\n            \"name\": \"Come calcolare lo sconto percentuale?\",\n            \"acceptedAnswer\": {\n              \"@type\": \"Answer\",\n              \"text\": \"Calcola lo sconto con: Importo sconto = Prezzo \u00d7 (Sconto% \u00f7 100). Poi sottrai dal prezzo originale: Prezzo finale = Prezzo \u2212 Importo sconto. Es: sconto 20% su 80\u20ac \u2192 80 \u00d7 0,20 = 16\u20ac di sconto \u2192 prezzo finale 64\u20ac.\"\n            }\n          },\n          {\n            \"@type\": \"Question\",\n            \"name\": \"Come calcolare la variazione percentuale?\",\n            \"acceptedAnswer\": {\n              \"@type\": \"Answer\",\n              \"text\": \"Variazione% = ((Nuovo valore \u2212 Vecchio valore) \u00f7 Vecchio valore) \u00d7 100. Se positivo \u00e8 un aumento, se negativo \u00e8 una diminuzione.\"\n            }\n          },\n          {\n            \"@type\": \"Question\",\n            \"name\": \"Come calcolare l'IVA al 22%?\",\n            \"acceptedAnswer\": {\n              \"@type\": \"Answer\",\n              \"text\": \"Per aggiungere l'IVA al 22%: Lordo = Netto \u00d7 1,22. Per scorporare l'IVA da un prezzo lordo: Netto = Lordo \u00f7 1,22.\"\n            }\n          },\n          {\n            \"@type\": \"Question\",\n            \"name\": \"Come calcolare la percentuale in Excel?\",\n            \"acceptedAnswer\": {\n              \"@type\": \"Answer\",\n              \"text\": \"In Excel per calcolare il 20% di A1 scrivi =A1*20% oppure =A1*0,2. Per la percentuale tra due valori: =A1\/B1 poi formatta la cella come percentuale.\"\n            }\n          },\n          {\n            \"@type\": \"Question\",\n            \"name\": \"Qual \u00e8 la differenza tra punti percentuali e percentuale relativa?\",\n            \"acceptedAnswer\": {\n              \"@type\": \"Answer\",\n              \"text\": \"I punti percentuali indicano la differenza aritmetica tra due percentuali (dal 5% al 7% = +2 pp). La percentuale relativa indica di quanto \u00e8 variata la percentuale rispetto al valore iniziale (da 5% a 7% = +40% in termini relativi).\"\n            }\n          },\n          {\n            \"@type\": \"Question\",\n            \"name\": \"Come si fa il calcolo inverso della percentuale?\",\n            \"acceptedAnswer\": {\n              \"@type\": \"Answer\",\n              \"text\": \"Per trovare il totale dato che una parte rappresenta una certa percentuale usa: Totale = Parte \u00f7 (Percentuale \u00f7 100). Esempio: 30 \u00e8 il 15% di quanto? \u2192 30 \u00f7 0,15 = 200.\"\n            }\n          }\n        ]\n      }\n    ]\n  }\n  <\/script>\n\n  <link rel=\"preconnect\" href=\"https:\/\/fonts.googleapis.com\">\n  <link rel=\"preconnect\" href=\"https:\/\/fonts.gstatic.com\" crossorigin>\n  <link href=\"https:\/\/fonts.googleapis.com\/css2?family=Sora:wght@400;500;600;700;800&#038;family=Lora:ital,wght@0,400;0,500;1,400&#038;display=swap\" rel=\"stylesheet\">\n\n  <style>\n    *, *::before, *::after { box-sizing: border-box; margin: 0; padding: 0; }\n\n    :root {\n      --blue: #003d8f;\n      --blue-dark: #002d6b;\n      --blue-light: #e8f0fb;\n      --blue-mid: #1a56c4;\n      --red: #d9202d;\n      --red-light: #fdf0f1;\n      --green: #0f8a55;\n      --green-light: #e8f8f1;\n      --orange: #e07b00;\n      --orange-light: #fff4e5;\n      --purple: #6b3fa0;\n      --purple-light: #f3eeff;\n      --text: #1a1a2e;\n      --text-muted: #5a6480;\n      --border: #dde3f0;\n      --bg: 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line-height: 1.5; }\n    .fc-answer-tag { font-size: 11px; font-weight: 700; text-transform: uppercase; letter-spacing: .1em; color: var(--text-muted); margin-bottom: 12px; }\n    .fc-formula {\n      background: var(--blue-light);\n      border-radius: var(--radius-sm);\n      padding: 10px 16px;\n      font-family: 'Courier New', monospace;\n      font-size: 15px;\n      font-weight: 700;\n      color: var(--blue-dark);\n      margin-top: 14px;\n    }\n    .fc-nav {\n      display: flex;\n      align-items: center;\n      justify-content: center;\n      gap: 12px;\n    }\n    .fc-btn {\n      padding: 11px 24px;\n      border: 1.5px solid var(--border);\n      background: white;\n      border-radius: 50px;\n      font-family: 'Sora', sans-serif;\n      font-size: 14px;\n      font-weight: 600;\n      cursor: pointer;\n      transition: all .2s;\n      color: var(--text);\n    }\n    .fc-btn:hover { border-color: var(--blue); color: var(--blue); }\n    .fc-btn.primary { background: var(--blue); color: white; border-color: var(--blue); }\n    .fc-btn.primary:hover { background: var(--blue-dark); }\n    .fc-dots { display: flex; gap: 6px; align-items: center; }\n    .fc-dot {\n      width: 8px; height: 8px;\n      border-radius: 50%;\n      background: var(--border);\n      transition: all .2s;\n      cursor: pointer;\n    }\n    .fc-dot.active { background: var(--blue); width: 20px; border-radius: 4px; }\n    .fc-dot.done { background: var(--green); }\n\n    \/* \u2500\u2500 ERRORI COMUNI \u2500\u2500 *\/\n    .alert {\n      background: #fff8e6;\n      border-left: 4px solid var(--orange);\n      border-radius: 0 var(--radius-sm) var(--radius-sm) 0;\n      padding: 16px 20px;\n      margin-bottom: 14px;\n      display: flex;\n      gap: 12px;\n      align-items: flex-start;\n    }\n    .alert-icon { font-size: 20px; flex-shrink: 0; }\n    .alert-text { font-size: 14px; line-height: 1.6; }\n    .alert-text strong { display: block; font-size: 15px; margin-bottom: 4px; color: var(--text); }\n\n    \/* \u2500\u2500 FAQ \u2500\u2500 *\/\n    .faq-list { display: flex; flex-direction: column; gap: 8px; }\n    .faq-item {\n      background: white;\n      border: 1px solid var(--border);\n      border-radius: var(--radius-sm);\n      overflow: hidden;\n      transition: box-shadow .2s;\n    }\n    .faq-item:hover { box-shadow: var(--shadow); }\n    .faq-q {\n      width: 100%;\n      padding: 18px 20px;\n      text-align: left;\n      background: none;\n      border: none;\n      cursor: pointer;\n      font-family: 'Sora', sans-serif;\n      font-size: 15px;\n      font-weight: 600;\n      color: var(--text);\n      display: flex;\n      justify-content: space-between;\n      align-items: center;\n      gap: 12px;\n    }\n    .faq-q:hover { color: var(--blue); }\n    .faq-icon {\n      width: 24px; height: 24px;\n      border-radius: 50%;\n      background: var(--blue-light);\n      display: flex; align-items: center; justify-content: center;\n      flex-shrink: 0;\n      font-size: 16px;\n      font-weight: 700;\n      color: var(--blue);\n      transition: all .3s;\n    }\n    .faq-item.open .faq-icon { background: var(--blue); color: white; transform: rotate(45deg); }\n    .faq-a {\n      display: none;\n      padding: 0 20px 18px;\n      font-size: 14px;\n      line-height: 1.75;\n      color: var(--text-muted);\n      border-top: 1px solid var(--border);\n    }\n    .faq-item.open .faq-a { display: block; }\n\n    \/* \u2500\u2500 EXCEL section \u2500\u2500 *\/\n    .code-block {\n      background: #1e1e2e;\n      color: #e8eaf6;\n      border-radius: var(--radius-sm);\n      padding: 16px 20px;\n      font-family: 'Courier New', monospace;\n      font-size: 14px;\n      line-height: 1.9;\n      overflow-x: auto;\n      margin-bottom: 14px;\n      border: 1px solid rgba(255,255,255,0.08);\n    }\n    .code-block .kw { color: #82cfff; font-weight: 700; }\n    .code-block .fn { color: #a8ff78; }\n    .code-block .cm { color: #9ca8c5; font-style: italic; }\n\n    \/* \u2500\u2500 QUOTE \u2500\u2500 *\/\n    .callout {\n      background: var(--blue-light);\n      border-left: 4px solid var(--blue);\n      border-radius: 0 var(--radius-sm) var(--radius-sm) 0;\n      padding: 16px 20px;\n      font-size: 15px;\n      font-style: italic;\n      color: var(--blue-dark);\n      margin: 20px 0;\n      font-family: 'Lora', serif;\n    }\n\n    \/* \u2500\u2500 BANNER RIPETIZIONI \u2500\u2500 *\/\n    .rip-banner {\n      display: flex;\n      align-items: center;\n      gap: 20px;\n      background: linear-gradient(135deg, #003d8f 0%, #1a56c4 60%, #2563eb 100%);\n      border-radius: var(--radius);\n      padding: 24px 28px;\n      margin: 40px 0;\n      color: white;\n      text-decoration: none;\n      box-shadow: 0 6px 32px rgba(0,61,143,0.22);\n      transition: transform .2s, box-shadow .2s;\n      position: relative;\n      overflow: hidden;\n    }\n    .rip-banner::before {\n      content: '';\n      position: absolute;\n      right: -30px; top: -30px;\n      width: 180px; height: 180px;\n      border-radius: 50%;\n      background: rgba(255,255,255,0.06);\n      pointer-events: none;\n    }\n    .rip-banner::after {\n      content: '';\n      position: absolute;\n      right: 40px; bottom: -50px;\n      width: 120px; height: 120px;\n      border-radius: 50%;\n      background: rgba(255,255,255,0.04);\n      pointer-events: none;\n    }\n    .rip-banner:hover { transform: translateY(-2px); box-shadow: 0 10px 40px rgba(0,61,143,0.32); }\n    .rip-banner-icon {\n      font-size: 42px;\n      flex-shrink: 0;\n      line-height: 1;\n    }\n    .rip-banner-body { flex: 1; }\n    .rip-banner-label {\n      font-size: 11px;\n      font-weight: 700;\n      text-transform: uppercase;\n      letter-spacing: .1em;\n      opacity: .75;\n      margin-bottom: 5px;\n    }\n    .rip-banner-title {\n      font-size: clamp(16px, 2.5vw, 20px);\n      font-weight: 800;\n      line-height: 1.25;\n      margin-bottom: 5px;\n      color: white !important;\n    }\n    .rip-banner-sub {\n      font-size: 13px;\n      opacity: .85;\n      line-height: 1.5;\n      color: white !important;\n    }\n    .rip-banner-cta {\n      flex-shrink: 0;\n      background: white;\n      color: var(--blue) !important;\n      font-size: 13px;\n      font-weight: 800;\n      padding: 11px 20px;\n      border-radius: 50px;\n      white-space: nowrap;\n      transition: background .2s;\n    }\n    .rip-banner:hover .rip-banner-cta { background: #e8f0fb; }\n    @media (max-width: 580px) {\n      .rip-banner { flex-direction: column; align-items: flex-start; gap: 14px; }\n      .rip-banner-cta { align-self: stretch; text-align: center; }\n    }\n\n    \/* variante compatta inline *\/\n    .rip-banner-sm {\n      display: flex;\n      align-items: center;\n      gap: 14px;\n      background: var(--blue-light);\n      border: 1.5px solid #b8d0f5;\n      border-left: 4px solid var(--blue);\n      border-radius: var(--radius-sm);\n      padding: 16px 20px;\n      margin: 32px 0;\n      text-decoration: none;\n      transition: background .2s, border-color .2s;\n    }\n    .rip-banner-sm:hover { background: #dce9fa; border-color: var(--blue); }\n    .rip-banner-sm-icon { font-size: 28px; flex-shrink: 0; }\n    .rip-banner-sm-text { flex: 1; }\n    .rip-banner-sm-title { font-size: 15px; font-weight: 700; color: var(--blue-dark) !important; margin-bottom: 2px; }\n    .rip-banner-sm-sub { font-size: 13px; color: var(--text-muted); }\n    .rip-banner-sm-arrow { font-size: 18px; color: var(--blue); font-weight: 700; flex-shrink: 0; }\n    .conv-table-wrap { display: grid; grid-template-columns: 1fr 1fr; gap: 16px; }\n    @media (max-width: 580px) {\n      .conv-table-wrap { grid-template-columns: 1fr; }\n      .inputs-grid { grid-template-columns: 1fr; }\n      .inputs-grid.triple { grid-template-columns: 1fr 1fr; }\n      .formula-grid { grid-template-columns: 1fr; }\n      .hero { padding: 40px 24px 36px; }\n      .hero::before { display: none; }\n    }\n\n    \/* \u2500\u2500 Breadcrumb \u2500\u2500 *\/\n    .breadcrumb {\n      font-size: 13px;\n      color: var(--text-muted);\n      margin-bottom: 24px;\n      display: flex;\n      align-items: center;\n      gap: 6px;\n      flex-wrap: wrap;\n    }\n    .breadcrumb a { color: var(--text-muted); text-decoration: none; }\n    .breadcrumb a:hover { color: var(--blue); }\n    .breadcrumb span { opacity: .5; }\n  <\/style>\n<\/head>\n<body>\n\n<script type=\"application\/ld+json\">\n{\n  \"@context\": \"https:\/\/schema.org\",\n  \"@type\": \"BreadcrumbList\",\n  \"itemListElement\": [\n    {\"@type\": \"ListItem\", \"position\": 1, \"name\": \"Home\", \"item\": \"https:\/\/futura.study\/\"},\n    {\"@type\": \"ListItem\", \"position\": 2, \"name\": \"Blog\", \"item\": \"https:\/\/futura.study\/blog\/\"},\n    {\"@type\": \"ListItem\", \"position\": 3, \"name\": \"Metodo di Studio\", \"item\": \"https:\/\/futura.study\/blog\/metodo-di-studio\/\"},\n    {\"@type\": \"ListItem\", \"position\": 4, \"name\": \"Calcolo Percentuale\", \"item\": \"https:\/\/futura.study\/blog\/metodo-di-studio\/calcolo-della-percentuale-formule-esempi-e-calcolatrice\/\"}\n  ]\n}\n<\/script>\n\n<!-- HERO -->\n<div class=\"hero\">\n  <div class=\"page-wrapper\" style=\"padding-top:0; padding-bottom:0; margin:0 auto;\">\n    <div class=\"hero-badge\">\ud83d\udcd0 Matematica pratica<\/div>\n    <p style=\"font-size: clamp(15px, 2.5vw, 18px); opacity: 0.95; max-width: 620px; line-height: 1.65; margin-bottom: 24px; font-weight: 500;\">Tutto quello che serve per calcolare le percentuali: la formula base, una calcolatrice per ogni caso d&#8217;uso, esempi risolti, trucchi veloci e flashcard di ripasso.<\/p>\n    <div class=\"hero-pills\">\n      <a href=\"#calcolatore\" class=\"hero-pill\">\ud83e\uddee Calcolatrice<\/a>\n      <a href=\"#formule\" class=\"hero-pill\">\ud83d\udcd0 Formule<\/a>\n      <a href=\"#flashcard\" class=\"hero-pill\">\ud83c\udccf Flashcard<\/a>\n      <a href=\"#trucchi\" class=\"hero-pill\">\u26a1 Trucchi<\/a>\n      <a href=\"#faq\" class=\"hero-pill\">\u2753 FAQ<\/a>\n    <\/div>\n  <\/div>\n<\/div>\n\n<div class=\"page-wrapper\">\n\n  <!-- Breadcrumb -->\n  <nav class=\"breadcrumb\" aria-label=\"Breadcrumb\">\n    <a href=\"https:\/\/futura.study\/\">Home<\/a>\n    <span>\u203a<\/span>\n    <a href=\"https:\/\/futura.study\/blog\/\">Blog<\/a>\n    <span>\u203a<\/span>\n    <a href=\"https:\/\/futura.study\/blog\/metodo-di-studio\/\">Metodo di Studio<\/a>\n    <span>\u203a<\/span>\n    <span>Calcolo Percentuale<\/span>\n  <\/nav>\n\n  <!-- TOC -->\n  <nav class=\"toc\" aria-label=\"Indice dell'articolo\">\n    <div id=\"ez-toc-container\" class=\"ez-toc-v2_0_82_2 counter-hierarchy ez-toc-counter ez-toc-custom ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Di cosa parliamo<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #172146;color:#172146\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #172146;color:#172146\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/futura.study\/blog\/metodo-di-studio\/calcolo-della-percentuale-formule-esempi-e-calcolatrice\/#%F0%9F%93%8B_In_questa_guida\" >\ud83d\udccb In questa guida<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/futura.study\/blog\/metodo-di-studio\/calcolo-della-percentuale-formule-esempi-e-calcolatrice\/#Cose_la_percentuale_e_a_cosa_serve\" >Cos&#8217;\u00e8 la percentuale e a cosa serve<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/futura.study\/blog\/metodo-di-studio\/calcolo-della-percentuale-formule-esempi-e-calcolatrice\/#Le_4_formule_base_della_percentuale\" >Le 4 formule base della percentuale<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/futura.study\/blog\/metodo-di-studio\/calcolo-della-percentuale-formule-esempi-e-calcolatrice\/#%F0%9F%94%B5_Trovare_la_parte\" >\ud83d\udd35 Trovare la parte<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/futura.study\/blog\/metodo-di-studio\/calcolo-della-percentuale-formule-esempi-e-calcolatrice\/#%F0%9F%94%B4_Trovare_la_percentuale\" >\ud83d\udd34 Trovare la percentuale<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/futura.study\/blog\/metodo-di-studio\/calcolo-della-percentuale-formule-esempi-e-calcolatrice\/#%F0%9F%9F%A2_Trovare_il_totale\" >\ud83d\udfe2 Trovare il totale<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/futura.study\/blog\/metodo-di-studio\/calcolo-della-percentuale-formule-esempi-e-calcolatrice\/#%F0%9F%9F%A0_Variazione_percentuale\" >\ud83d\udfe0 Variazione percentuale<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/futura.study\/blog\/metodo-di-studio\/calcolo-della-percentuale-formule-esempi-e-calcolatrice\/#%F0%9F%9F%A3_Aumento_e_Diminuzione\" >\ud83d\udfe3 Aumento e Diminuzione %<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/futura.study\/blog\/metodo-di-studio\/calcolo-della-percentuale-formule-esempi-e-calcolatrice\/#%F0%9F%92%A0_IVA_e_imposte\" >\ud83d\udca0 IVA e imposte<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/futura.study\/blog\/metodo-di-studio\/calcolo-della-percentuale-formule-esempi-e-calcolatrice\/#Calcolatrice_percentuale_tutti_i_casi\" >Calcolatrice percentuale: tutti i casi<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/futura.study\/blog\/metodo-di-studio\/calcolo-della-percentuale-formule-esempi-e-calcolatrice\/#Calcola_la_percentuale_di_un_numero\" >Calcola la percentuale di un numero<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/futura.study\/blog\/metodo-di-studio\/calcolo-della-percentuale-formule-esempi-e-calcolatrice\/#Calcola_che_percentuale_e_un_numero_di_un_altro\" >Calcola che percentuale \u00e8 un numero di un altro<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/futura.study\/blog\/metodo-di-studio\/calcolo-della-percentuale-formule-esempi-e-calcolatrice\/#Trova_il_totale_partendo_da_una_parte\" >Trova il totale partendo da una parte<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/futura.study\/blog\/metodo-di-studio\/calcolo-della-percentuale-formule-esempi-e-calcolatrice\/#Calcola_lo_sconto_percentuale\" >Calcola lo sconto percentuale<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/futura.study\/blog\/metodo-di-studio\/calcolo-della-percentuale-formule-esempi-e-calcolatrice\/#Calcola_la_variazione_percentuale_tra_due_numeri\" >Calcola la variazione percentuale tra due numeri<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/futura.study\/blog\/metodo-di-studio\/calcolo-della-percentuale-formule-esempi-e-calcolatrice\/#Calcolo_IVA_aggiungi_o_scorporo\" >Calcolo IVA: aggiungi o scorporo<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-17\" href=\"https:\/\/futura.study\/blog\/metodo-di-studio\/calcolo-della-percentuale-formule-esempi-e-calcolatrice\/#Calcola_sconti_successivi_doppio_sconto\" >Calcola sconti successivi (doppio sconto)<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-18\" href=\"https:\/\/futura.study\/blog\/metodo-di-studio\/calcolo-della-percentuale-formule-esempi-e-calcolatrice\/#Esempi_pratici_risolti\" >Esempi pratici risolti<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-19\" href=\"https:\/\/futura.study\/blog\/metodo-di-studio\/calcolo-della-percentuale-formule-esempi-e-calcolatrice\/#Trucchi_rapidi_per_calcolare_le_percentuali_a_mente\" >Trucchi rapidi per calcolare le percentuali a mente<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-20\" href=\"https:\/\/futura.study\/blog\/metodo-di-studio\/calcolo-della-percentuale-formule-esempi-e-calcolatrice\/#Flashcard_di_ripasso\" >Flashcard di ripasso<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-21\" href=\"https:\/\/futura.study\/blog\/metodo-di-studio\/calcolo-della-percentuale-formule-esempi-e-calcolatrice\/#Come_calcolare_le_percentuali_in_Excel_e_Google_Sheets\" >Come calcolare le percentuali in Excel e Google Sheets<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-22\" href=\"https:\/\/futura.study\/blog\/metodo-di-studio\/calcolo-della-percentuale-formule-esempi-e-calcolatrice\/#Calcolare_la_percentuale_di_un_numero\" >Calcolare la percentuale di un numero<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-23\" href=\"https:\/\/futura.study\/blog\/metodo-di-studio\/calcolo-della-percentuale-formule-esempi-e-calcolatrice\/#Calcolare_che_percentuale_e_un_numero_di_un_altro\" >Calcolare che percentuale \u00e8 un numero di un altro<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-24\" href=\"https:\/\/futura.study\/blog\/metodo-di-studio\/calcolo-della-percentuale-formule-esempi-e-calcolatrice\/#Variazione_percentuale_tra_due_valori\" >Variazione percentuale tra due valori<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-25\" href=\"https:\/\/futura.study\/blog\/metodo-di-studio\/calcolo-della-percentuale-formule-esempi-e-calcolatrice\/#Calcolo_IVA_in_Excel\" >Calcolo IVA in Excel<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-26\" href=\"https:\/\/futura.study\/blog\/metodo-di-studio\/calcolo-della-percentuale-formule-esempi-e-calcolatrice\/#Applicare_uno_sconto_in_Excel\" >Applicare uno sconto in Excel<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-27\" href=\"https:\/\/futura.study\/blog\/metodo-di-studio\/calcolo-della-percentuale-formule-esempi-e-calcolatrice\/#Errori_comuni_da_evitare\" >Errori comuni da evitare<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-28\" href=\"https:\/\/futura.study\/blog\/metodo-di-studio\/calcolo-della-percentuale-formule-esempi-e-calcolatrice\/#Domande_frequenti_sul_calcolo_percentuale\" >Domande frequenti sul calcolo percentuale<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"%F0%9F%93%8B_In_questa_guida\"><\/span>\ud83d\udccb In questa guida<span class=\"ez-toc-section-end\"><\/span><\/h2>\n    <ol>\n      <li><a href=\"#cosa-e\">Cos&#8217;\u00e8 la percentuale e come si usa<\/a><\/li>\n      <li><a href=\"#formule\">Formule base: tutte le versioni<\/a><\/li>\n      <li><a href=\"#calcolatore\">Calcolatrice percentuale (tutti i casi)<\/a><\/li>\n      <li><a href=\"#esempi\">Esempi pratici risolti<\/a><\/li>\n      <li><a href=\"#trucchi\">Trucchi rapidi per il calcolo mentale<\/a><\/li>\n      <li><a href=\"#flashcard\">Flashcard di ripasso<\/a><\/li>\n      <li><a href=\"#excel\">Percentuali in Excel e Google Sheets<\/a><\/li>\n      <li><a href=\"#errori\">Errori comuni da evitare<\/a><\/li>\n      <li><a href=\"#faq\">Domande frequenti (FAQ)<\/a><\/li>\n    <\/ol>\n  <\/nav>\n\n  <!-- SEZIONE 1: COS'\u00c8 -->\n  <section id=\"cosa-e\">\n    <div class=\"section-label\">\ud83d\udcd8 Concetto base<\/div>\n    <h2><span class=\"ez-toc-section\" id=\"Cose_la_percentuale_e_a_cosa_serve\"><\/span>Cos&#8217;\u00e8 la percentuale e a cosa serve<span class=\"ez-toc-section-end\"><\/span><\/h2>\n    <p>La <strong>percentuale<\/strong> indica quante parti su 100 rappresenta una quantit\u00e0. Il simbolo <strong>%<\/strong> deriva dal latino <em>per centum<\/em>, cio\u00e8 &#8220;ogni cento&#8221;. In pratica, il 30% di qualcosa significa &#8220;30 parti su 100 di quel qualcosa&#8221;.<\/p>\n    <p>Le percentuali si usano ovunque: nei prezzi scontati, nel calcolo dell&#8217;IVA, nei voti scolastici, nelle statistiche, nei mutui, nelle tabelle nutrizionali. Capire come calcolarle \u00e8 una delle competenze matematiche pi\u00f9 utili nella vita quotidiana.<\/p>\n\n    <div class=\"callout\">\n      \ud83d\udca1 Trucco di lettura: ogni volta che vedi &#8220;X% di Y&#8221; traduci mentalmente in &#8220;X centesimi di Y&#8221;. Il 20% di 50 \u00e8 20 centesimi di 50, cio\u00e8 10.\n    <\/div>\n\n    <div class=\"table-wrapper\" style=\"margin-top:24px;\">\n      <table>\n        <thead><tr><th>Percentuale<\/th><th>Frazione equivalente<\/th><th>Decimale<\/th><th>Esempio pratico<\/th><\/tr><\/thead>\n        <tbody>\n          <tr><td><strong>5%<\/strong><\/td><td>5\/100 = 1\/20<\/td><td>0,05<\/td><td>5% di 100\u20ac = 5\u20ac<\/td><\/tr>\n          <tr><td><strong>10%<\/strong><\/td><td>10\/100 = 1\/10<\/td><td>0,10<\/td><td>10% di 80\u20ac = 8\u20ac<\/td><\/tr>\n          <tr><td><strong>12,5%<\/strong><\/td><td>12,5\/100 = 1\/8<\/td><td>0,125<\/td><td>12,5% di 200\u20ac = 25\u20ac<\/td><\/tr>\n          <tr><td><strong>20%<\/strong><\/td><td>20\/100 = 1\/5<\/td><td>0,20<\/td><td>20% di 50\u20ac = 10\u20ac<\/td><\/tr>\n          <tr><td><strong>25%<\/strong><\/td><td>25\/100 = 1\/4<\/td><td>0,25<\/td><td>25% di 400\u20ac = 100\u20ac<\/td><\/tr>\n          <tr><td><strong>50%<\/strong><\/td><td>50\/100 = 1\/2<\/td><td>0,50<\/td><td>50% di 60\u20ac = 30\u20ac<\/td><\/tr>\n          <tr><td><strong>75%<\/strong><\/td><td>75\/100 = 3\/4<\/td><td>0,75<\/td><td>75% di 120\u20ac = 90\u20ac<\/td><\/tr>\n          <tr><td><strong>100%<\/strong><\/td><td>100\/100 = 1<\/td><td>1,00<\/td><td>100% di X = X<\/td><\/tr>\n        <\/tbody>\n      <\/table>\n    <\/div>\n  <\/section>\n\n  <!-- SEZIONE 2: FORMULE -->\n  <section id=\"formule\">\n    <div class=\"section-label\">\ud83d\udcd0 Matematica<\/div>\n    <h2><span class=\"ez-toc-section\" id=\"Le_4_formule_base_della_percentuale\"><\/span>Le 4 formule base della percentuale<span class=\"ez-toc-section-end\"><\/span><\/h2>\n    <p>Tutte le operazioni con le percentuali derivano da quattro formule fondamentali. Impara queste e sai risolvere qualsiasi problema.<\/p>\n\n    <div class=\"formula-grid\">\n      <div class=\"formula-card\">\n        <h3><span class=\"ez-toc-section\" id=\"%F0%9F%94%B5_Trovare_la_parte\"><\/span>\ud83d\udd35 Trovare la parte<span class=\"ez-toc-section-end\"><\/span><\/h3>\n        <div class=\"formula-box\">Parte = Totale \u00d7 (% \u00f7 100)<\/div>\n        <p class=\"formula-example\">Quanto \u00e8 il 20% di 150?<br><strong>150 \u00d7 0,20 = 30<\/strong><\/p>\n      <\/div>\n      <div class=\"formula-card red\">\n        <h3><span class=\"ez-toc-section\" id=\"%F0%9F%94%B4_Trovare_la_percentuale\"><\/span>\ud83d\udd34 Trovare la percentuale<span class=\"ez-toc-section-end\"><\/span><\/h3>\n        <div class=\"formula-box\">% = (Parte \u00f7 Totale) \u00d7 100<\/div>\n        <p class=\"formula-example\">15 \u00e8 che % di 60?<br><strong>(15 \u00f7 60) \u00d7 100 = 25%<\/strong><\/p>\n      <\/div>\n      <div class=\"formula-card green\">\n        <h3><span class=\"ez-toc-section\" id=\"%F0%9F%9F%A2_Trovare_il_totale\"><\/span>\ud83d\udfe2 Trovare il totale<span class=\"ez-toc-section-end\"><\/span><\/h3>\n        <div class=\"formula-box\">Totale = Parte \u00f7 (% \u00f7 100)<\/div>\n        <p class=\"formula-example\">30 \u00e8 il 15% di quanto?<br><strong>30 \u00f7 0,15 = 200<\/strong><\/p>\n      <\/div>\n      <div class=\"formula-card orange\">\n        <h3><span class=\"ez-toc-section\" id=\"%F0%9F%9F%A0_Variazione_percentuale\"><\/span>\ud83d\udfe0 Variazione percentuale<span class=\"ez-toc-section-end\"><\/span><\/h3>\n        <div class=\"formula-box\">Var% = ((Nuovo\u2212Vecchio) \u00f7 Vecchio) \u00d7 100<\/div>\n        <p class=\"formula-example\">Da 80 a 92: <strong>+15%<\/strong><br>Da 50 a 35: <strong>\u221230%<\/strong><\/p>\n      <\/div>\n      <div class=\"formula-card purple\">\n        <h3><span class=\"ez-toc-section\" id=\"%F0%9F%9F%A3_Aumento_e_Diminuzione\"><\/span>\ud83d\udfe3 Aumento e Diminuzione %<span class=\"ez-toc-section-end\"><\/span><\/h3>\n        <div class=\"formula-box\">Nuovo = Vecchio \u00d7 (1 \u00b1 % \u00f7 100)<\/div>\n        <p class=\"formula-example\">+15% su 80: 80 \u00d7 1,15 = <strong>92<\/strong><br>\u221220% su 50: 50 \u00d7 0,80 = <strong>40<\/strong><\/p>\n      <\/div>\n      <div class=\"formula-card\">\n        <h3><span class=\"ez-toc-section\" id=\"%F0%9F%92%A0_IVA_e_imposte\"><\/span>\ud83d\udca0 IVA e imposte<span class=\"ez-toc-section-end\"><\/span><\/h3>\n        <div class=\"formula-box\">Lordo = Netto \u00d7 (1 + aliquota\/100)<\/div>\n        <p class=\"formula-example\">IVA 22% su 100\u20ac: 100 \u00d7 1,22 = <strong>122\u20ac<\/strong><br>Scorporo: 122 \u00f7 1,22 = <strong>100\u20ac<\/strong><\/p>\n      <\/div>\n    <\/div>\n  <\/section>\n\n  <!-- BANNER 1: dopo le formule -->\n  <a class=\"rip-banner\" href=\"https:\/\/ripetizioni-lp.futura.study\/trova-il-tuo-docente?utm_source=blog&#038;utm_medium=organic&#038;utm_campaign=calcolo-percentuale\" target=\"_blank\" rel=\"noopener\">\n    <div class=\"rip-banner-icon\">\ud83d\udc69\u200d\ud83c\udfeb<\/div>\n    <div class=\"rip-banner-body\">\n      <div class=\"rip-banner-label\">Ripetizioni Futura<\/div>\n      <div class=\"rip-banner-title\">Hai difficolt\u00e0 con matematica e percentuali?<\/div>\n      <div class=\"rip-banner-sub\">Trova il tuo docente personalizzato: lezioni 1-a-1 online con i migliori tutor selezionati da Futura.<\/div>\n    <\/div>\n    <span class=\"rip-banner-cta\">Trova il tuo docente \u2192<\/span>\n  <\/a>\n\n  <!-- SEZIONE 3: CALCOLATORE -->\n  <section id=\"calcolatore\">\n    <div class=\"section-label\">\ud83e\uddee Strumento interattivo<\/div>\n    <h2><span class=\"ez-toc-section\" id=\"Calcolatrice_percentuale_tutti_i_casi\"><\/span>Calcolatrice percentuale: tutti i casi<span class=\"ez-toc-section-end\"><\/span><\/h2>\n    <p>Scegli il tipo di calcolo, inserisci i valori e ottieni il risultato con la spiegazione passo passo.<\/p>\n\n    <div class=\"calc-wrapper\">\n      <div class=\"calc-tabs\" role=\"tablist\">\n        <button class=\"calc-tab active\" role=\"tab\" onclick=\"switchTab('parte')\">% di un numero<\/button>\n        <button class=\"calc-tab\" role=\"tab\" onclick=\"switchTab('percentuale')\">Che % \u00e8?<\/button>\n        <button class=\"calc-tab\" role=\"tab\" onclick=\"switchTab('totale')\">Trova il totale<\/button>\n        <button class=\"calc-tab\" role=\"tab\" onclick=\"switchTab('sconto')\">Sconto<\/button>\n        <button class=\"calc-tab\" role=\"tab\" onclick=\"switchTab('variazione')\">Variazione %<\/button>\n        <button class=\"calc-tab\" role=\"tab\" onclick=\"switchTab('iva')\">IVA<\/button>\n        <button class=\"calc-tab\" role=\"tab\" onclick=\"switchTab('doppio-sconto')\">Doppio sconto<\/button>\n      <\/div>\n\n      <!-- Panel 1: Parte di un numero -->\n      <div class=\"calc-panel active\" id=\"panel-parte\">\n        <h3><span class=\"ez-toc-section\" id=\"Calcola_la_percentuale_di_un_numero\"><\/span>Calcola la percentuale di un numero<span class=\"ez-toc-section-end\"><\/span><\/h3>\n        <p class=\"subtitle\">Usa questa calcolatrice per trovare una parte di un totale. Es: quanto \u00e8 il 20% di 500?<\/p>\n        <div class=\"inputs-grid\">\n          <div class=\"input-group\">\n            <label for=\"p1-totale\">Numero totale<\/label>\n            <input type=\"number\" id=\"p1-totale\" placeholder=\"es. 500\" oninput=\"calcParte()\">\n          <\/div>\n          <div class=\"input-group\">\n            <label for=\"p1-perc\">Percentuale (%)<\/label>\n            <input type=\"number\" id=\"p1-perc\" placeholder=\"es. 20\" oninput=\"calcParte()\">\n          <\/div>\n        <\/div>\n        <div class=\"calc-result empty\" id=\"res-parte\">\n          <span class=\"result-icon\">\ud83d\udd35<\/span>\n          <div class=\"result-text\">\n            <div class=\"result-label\">Risultato<\/div>\n            <div class=\"result-value\">Inserisci i valori<\/div>\n          <\/div>\n        <\/div>\n        <div class=\"calc-explanation\" id=\"exp-parte\"><\/div>\n      <\/div>\n\n      <!-- Panel 2: Percentuale tra due numeri -->\n      <div class=\"calc-panel\" id=\"panel-percentuale\">\n        <h3><span class=\"ez-toc-section\" id=\"Calcola_che_percentuale_e_un_numero_di_un_altro\"><\/span>Calcola che percentuale \u00e8 un numero di un altro<span class=\"ez-toc-section-end\"><\/span><\/h3>\n        <p class=\"subtitle\">Trova che percentuale rappresenta una parte rispetto al totale. Es: 15 \u00e8 il ??% di 60?<\/p>\n        <div class=\"inputs-grid\">\n          <div class=\"input-group\">\n            <label for=\"p2-parte\">La parte (numeratore)<\/label>\n            <input type=\"number\" id=\"p2-parte\" placeholder=\"es. 15\" oninput=\"calcPercentuale()\">\n          <\/div>\n          <div class=\"input-group\">\n            <label for=\"p2-totale\">Il totale (denominatore)<\/label>\n            <input type=\"number\" id=\"p2-totale\" placeholder=\"es. 60\" oninput=\"calcPercentuale()\">\n          <\/div>\n        <\/div>\n        <div class=\"calc-result empty\" id=\"res-percentuale\">\n          <span class=\"result-icon\">\ud83d\udd34<\/span>\n          <div class=\"result-text\">\n            <div class=\"result-label\">Risultato<\/div>\n            <div class=\"result-value\">Inserisci i valori<\/div>\n          <\/div>\n        <\/div>\n        <div class=\"calc-explanation\" id=\"exp-percentuale\"><\/div>\n      <\/div>\n\n      <!-- Panel 3: Trova il totale -->\n      <div class=\"calc-panel\" id=\"panel-totale\">\n        <h3><span class=\"ez-toc-section\" id=\"Trova_il_totale_partendo_da_una_parte\"><\/span>Trova il totale partendo da una parte<span class=\"ez-toc-section-end\"><\/span><\/h3>\n        <p class=\"subtitle\">Calcolo inverso: conosci la parte e la percentuale, vuoi sapere il totale. Es: 30 \u00e8 il 15% di quanto?<\/p>\n        <div class=\"inputs-grid\">\n          <div class=\"input-group\">\n            <label for=\"p3-parte\">Valore noto (la parte)<\/label>\n            <input type=\"number\" id=\"p3-parte\" placeholder=\"es. 30\" oninput=\"calcTotale()\">\n          <\/div>\n          <div class=\"input-group\">\n            <label for=\"p3-perc\">Percentuale che rappresenta (%)<\/label>\n            <input type=\"number\" id=\"p3-perc\" placeholder=\"es. 15\" oninput=\"calcTotale()\">\n          <\/div>\n        <\/div>\n        <div class=\"calc-result empty\" id=\"res-totale\">\n          <span class=\"result-icon\">\ud83d\udfe2<\/span>\n          <div class=\"result-text\">\n            <div class=\"result-label\">Risultato<\/div>\n            <div class=\"result-value\">Inserisci i valori<\/div>\n          <\/div>\n        <\/div>\n        <div class=\"calc-explanation\" id=\"exp-totale\"><\/div>\n      <\/div>\n\n      <!-- Panel 4: Sconto -->\n      <div class=\"calc-panel\" id=\"panel-sconto\">\n        <h3><span class=\"ez-toc-section\" id=\"Calcola_lo_sconto_percentuale\"><\/span>Calcola lo sconto percentuale<span class=\"ez-toc-section-end\"><\/span><\/h3>\n        <p class=\"subtitle\">Calcola il prezzo finale dopo uno sconto percentuale. Es: prezzo 79,90\u20ac con sconto 20%.<\/p>\n        <div class=\"inputs-grid\">\n          <div class=\"input-group\">\n            <label for=\"p4-prezzo\">Prezzo originale (\u20ac)<\/label>\n            <input type=\"number\" id=\"p4-prezzo\" placeholder=\"es. 79.90\" step=\"0.01\" oninput=\"calcSconto()\">\n          <\/div>\n          <div class=\"input-group\">\n            <label for=\"p4-sconto\">Sconto (%)<\/label>\n            <input type=\"number\" id=\"p4-sconto\" placeholder=\"es. 20\" oninput=\"calcSconto()\">\n          <\/div>\n        <\/div>\n        <div class=\"calc-result empty\" id=\"res-sconto\">\n          <span class=\"result-icon\">\ud83c\udff7\ufe0f<\/span>\n          <div class=\"result-text\">\n            <div class=\"result-label\">Risultato<\/div>\n            <div class=\"result-value\">Inserisci i valori<\/div>\n          <\/div>\n        <\/div>\n        <div class=\"calc-explanation\" id=\"exp-sconto\"><\/div>\n      <\/div>\n\n      <!-- Panel 5: Variazione percentuale -->\n      <div class=\"calc-panel\" id=\"panel-variazione\">\n        <h3><span class=\"ez-toc-section\" id=\"Calcola_la_variazione_percentuale_tra_due_numeri\"><\/span>Calcola la variazione percentuale tra due numeri<span class=\"ez-toc-section-end\"><\/span><\/h3>\n        <p class=\"subtitle\">Trova di quanto \u00e8 aumentato o diminuito un valore in percentuale. Es: da 80 a 92 = +15%.<\/p>\n        <div class=\"inputs-grid\">\n          <div class=\"input-group\">\n            <label for=\"p5-vecchio\">Valore iniziale (vecchio)<\/label>\n            <input type=\"number\" id=\"p5-vecchio\" placeholder=\"es. 80\" oninput=\"calcVariazione()\">\n          <\/div>\n          <div class=\"input-group\">\n            <label for=\"p5-nuovo\">Valore finale (nuovo)<\/label>\n            <input type=\"number\" id=\"p5-nuovo\" placeholder=\"es. 92\" oninput=\"calcVariazione()\">\n          <\/div>\n        <\/div>\n        <div class=\"calc-result empty\" id=\"res-variazione\">\n          <span class=\"result-icon\">\ud83d\udcc8<\/span>\n          <div class=\"result-text\">\n            <div class=\"result-label\">Risultato<\/div>\n            <div class=\"result-value\">Inserisci i valori<\/div>\n          <\/div>\n        <\/div>\n        <div class=\"calc-explanation\" id=\"exp-variazione\"><\/div>\n      <\/div>\n\n      <!-- Panel 6: IVA -->\n      <div class=\"calc-panel\" id=\"panel-iva\">\n        <h3><span class=\"ez-toc-section\" id=\"Calcolo_IVA_aggiungi_o_scorporo\"><\/span>Calcolo IVA: aggiungi o scorporo<span class=\"ez-toc-section-end\"><\/span><\/h3>\n        <p class=\"subtitle\">Calcola il prezzo con IVA o scorporala da un prezzo lordo. Aliquote: 4%, 5%, 10%, 22%.<\/p>\n        <div class=\"inputs-grid triple\">\n          <div class=\"input-group\">\n            <label for=\"p6-importo\">Importo (\u20ac)<\/label>\n            <input type=\"number\" id=\"p6-importo\" placeholder=\"es. 100\" step=\"0.01\" oninput=\"calcIva()\">\n          <\/div>\n          <div class=\"input-group\">\n            <label for=\"p6-aliquota\">Aliquota IVA (%)<\/label>\n            <input type=\"number\" id=\"p6-aliquota\" placeholder=\"es. 22\" oninput=\"calcIva()\">\n          <\/div>\n          <div class=\"input-group\">\n            <label for=\"p6-tipo\">Operazione<\/label>\n            <select id=\"p6-tipo\" onchange=\"calcIva()\" style=\"width:100%;padding:13px 14px;border:1.5px solid var(--border);border-radius:8px;font-family:'Sora',sans-serif;font-size:15px;font-weight:600;background:var(--bg);color:var(--text);outline:none;\">\n              <option value=\"aggiungi\">Aggiungi IVA (Netto \u2192 Lordo)<\/option>\n              <option value=\"scorporo\">Scorporo IVA (Lordo \u2192 Netto)<\/option>\n            <\/select>\n          <\/div>\n        <\/div>\n        <div class=\"calc-result empty\" id=\"res-iva\">\n          <span class=\"result-icon\">\ud83e\uddfe<\/span>\n          <div class=\"result-text\">\n            <div class=\"result-label\">Risultato<\/div>\n            <div class=\"result-value\">Inserisci i valori<\/div>\n          <\/div>\n        <\/div>\n        <div class=\"calc-explanation\" id=\"exp-iva\"><\/div>\n      <\/div>\n\n      <!-- Panel 7: Doppio sconto -->\n      <div class=\"calc-panel\" id=\"panel-doppio-sconto\">\n        <h3><span class=\"ez-toc-section\" id=\"Calcola_sconti_successivi_doppio_sconto\"><\/span>Calcola sconti successivi (doppio sconto)<span class=\"ez-toc-section-end\"><\/span><\/h3>\n        <p class=\"subtitle\">30% + 20% \u2260 50%. Calcola il vero sconto totale quando hai due sconti applicati in sequenza.<\/p>\n        <div class=\"inputs-grid triple\">\n          <div class=\"input-group\">\n            <label for=\"p7-prezzo\">Prezzo originale (\u20ac)<\/label>\n            <input type=\"number\" id=\"p7-prezzo\" placeholder=\"es. 200\" step=\"0.01\" oninput=\"calcDoppioSconto()\">\n          <\/div>\n          <div class=\"input-group\">\n            <label for=\"p7-sc1\">Primo sconto (%)<\/label>\n            <input type=\"number\" id=\"p7-sc1\" placeholder=\"es. 30\" oninput=\"calcDoppioSconto()\">\n          <\/div>\n          <div class=\"input-group\">\n            <label for=\"p7-sc2\">Secondo sconto (%)<\/label>\n            <input type=\"number\" id=\"p7-sc2\" placeholder=\"es. 20\" oninput=\"calcDoppioSconto()\">\n          <\/div>\n        <\/div>\n        <div class=\"calc-result empty\" id=\"res-doppio\">\n          <span class=\"result-icon\">\ud83d\udecd\ufe0f<\/span>\n          <div class=\"result-text\">\n            <div class=\"result-label\">Risultato<\/div>\n            <div class=\"result-value\">Inserisci i valori<\/div>\n          <\/div>\n        <\/div>\n        <div class=\"calc-explanation\" id=\"exp-doppio\"><\/div>\n      <\/div>\n    <\/div><!-- end calc-wrapper -->\n  <\/section>\n\n  <!-- SEZIONE 4: ESEMPI -->\n  <section id=\"esempi\">\n    <div class=\"section-label\">\ud83d\udcdd Esercizi<\/div>\n    <h2><span class=\"ez-toc-section\" id=\"Esempi_pratici_risolti\"><\/span>Esempi pratici risolti<span class=\"ez-toc-section-end\"><\/span><\/h2>\n    <p>Ecco i casi pi\u00f9 comuni con calcolo step-by-step.<\/p>\n    <div class=\"table-wrapper\">\n      <table>\n        <thead>\n          <tr><th>Problema<\/th><th>Formula applicata<\/th><th>Calcolo<\/th><th>Risultato<\/th><\/tr>\n        <\/thead>\n        <tbody>\n          <tr><td>20% di 50<\/td><td>Parte = 50 \u00d7 0,20<\/td><td>50 \u00d7 0,20<\/td><td><strong>10<\/strong><\/td><\/tr>\n          <tr><td>7,5% di 129,90\u20ac<\/td><td>Parte = 129,90 \u00d7 0,075<\/td><td>9,7425 \u2192 arrotondato<\/td><td><strong>9,74\u20ac<\/strong><\/td><\/tr>\n          <tr><td>15 \u00e8 che % di 60?<\/td><td>% = (15 \u00f7 60) \u00d7 100<\/td><td>0,25 \u00d7 100<\/td><td><strong>25%<\/strong><\/td><\/tr>\n          <tr><td>Da 80 a 92<\/td><td>Var% = ((92\u221280) \u00f7 80) \u00d7 100<\/td><td>(12\u00f780)\u00d7100<\/td><td><strong>+15%<\/strong><\/td><\/tr>\n          <tr><td>30 \u00e8 il 15% di?<\/td><td>Tot = 30 \u00f7 0,15<\/td><td>30 \u00f7 0,15<\/td><td><strong>200<\/strong><\/td><\/tr>\n          <tr><td>IVA 22% su 245\u20ac<\/td><td>Lordo = 245 \u00d7 1,22<\/td><td>245 \u00d7 1,22<\/td><td><strong>298,90\u20ac<\/strong><\/td><\/tr>\n          <tr><td>Scorporo IVA da 122\u20ac<\/td><td>Netto = 122 \u00f7 1,22<\/td><td>122 \u00f7 1,22<\/td><td><strong>100\u20ac<\/strong><\/td><\/tr>\n          <tr><td>Sconto 30%+20% su 100\u20ac<\/td><td>100 \u00d7 0,70 \u00d7 0,80<\/td><td>100 \u00d7 0,56<\/td><td><strong>56\u20ac<\/strong> (\u221244%)<\/td><\/tr>\n          <tr><td>\u22127% su 120<\/td><td>Nuovo = 120 \u00d7 0,93<\/td><td>120 \u00d7 0,93<\/td><td><strong>111,60<\/strong><\/td><\/tr>\n          <tr><td>+15% su 80<\/td><td>Nuovo = 80 \u00d7 1,15<\/td><td>80 \u00d7 1,15<\/td><td><strong>92<\/strong><\/td><\/tr>\n        <\/tbody>\n      <\/table>\n    <\/div>\n  <\/section>\n\n  <!-- BANNER 2: dopo esempi \u2014 compatto -->\n  <a class=\"rip-banner-sm\" href=\"https:\/\/ripetizioni-lp.futura.study\/trova-il-tuo-docente?utm_source=blog&#038;utm_medium=organic&#038;utm_campaign=calcolo-percentuale\" target=\"_blank\" rel=\"noopener\">\n    <span class=\"rip-banner-sm-icon\">\ud83d\udcda<\/span>\n    <div class=\"rip-banner-sm-text\">\n      <div class=\"rip-banner-sm-title\">Stai preparando un test o un esame con matematica?<\/div>\n      <div class=\"rip-banner-sm-sub\">I tutor Futura ti aiutano a prepararti con lezioni personalizzate 1-a-1.<\/div>\n    <\/div>\n    <span class=\"rip-banner-sm-arrow\">\u2192<\/span>\n  <\/a>\n\n  <!-- SEZIONE 5: TRUCCHI -->\n  <section id=\"trucchi\">\n    <div class=\"section-label\">\u26a1 Calcolo mentale<\/div>\n    <h2><span class=\"ez-toc-section\" id=\"Trucchi_rapidi_per_calcolare_le_percentuali_a_mente\"><\/span>Trucchi rapidi per calcolare le percentuali a mente<span class=\"ez-toc-section-end\"><\/span><\/h2>\n    <p>Con questi trucchi puoi fare la maggior parte dei calcoli percentuali in pochi secondi, senza calcolatrice.<\/p>\n    <div class=\"tricks-grid\">\n      <div class=\"trick-card\">\n        <div class=\"trick-number\">10%<\/div>\n        <h4>Sposta la virgola<\/h4>\n        <p>Il 10% di qualsiasi numero si ottiene spostando la virgola di una posizione a sinistra.<\/p>\n        <span class=\"trick-highlight\">780 \u2192 78<\/span>\n      <\/div>\n      <div class=\"trick-card\">\n        <div class=\"trick-number\">5%<\/div>\n        <h4>Met\u00e0 del 10%<\/h4>\n        <p>Calcola prima il 10%, poi dividilo per 2.<\/p>\n        <span class=\"trick-highlight\">78 \u00f7 2 = 39<\/span>\n      <\/div>\n      <div class=\"trick-card\">\n        <div class=\"trick-number\">20%<\/div>\n        <h4>Doppio del 10%<\/h4>\n        <p>Calcola il 10% e moltiplicalo per 2.<\/p>\n        <span class=\"trick-highlight\">78 \u00d7 2 = 156<\/span>\n      <\/div>\n      <div class=\"trick-card\">\n        <div class=\"trick-number\">25%<\/div>\n        <h4>Dividi per 4<\/h4>\n        <p>Il 25% \u00e8 uguale a 1\/4: dividi il numero per 4.<\/p>\n        <span class=\"trick-highlight\">400 \u00f7 4 = 100<\/span>\n      <\/div>\n      <div class=\"trick-card\">\n        <div class=\"trick-number\">50%<\/div>\n        <h4>Dividi per 2<\/h4>\n        <p>Il 50% \u00e8 uguale a 1\/2: dividi il numero per 2.<\/p>\n        <span class=\"trick-highlight\">780 \u00f7 2 = 390<\/span>\n      <\/div>\n      <div class=\"trick-card\">\n        <div class=\"trick-number\">75%<\/div>\n        <h4>Tre quarti<\/h4>\n        <p>Calcola il 25% e moltiplicalo per 3. Oppure: 100% \u2212 25%.<\/p>\n        <span class=\"trick-highlight\">100 \u00d7 0,75 = 75<\/span>\n      <\/div>\n      <div class=\"trick-card\">\n        <div class=\"trick-number\">15%<\/div>\n        <h4>10% + 5%<\/h4>\n        <p>Somma il 10% e il 5% (che \u00e8 met\u00e0 del 10%).<\/p>\n        <span class=\"trick-highlight\">78 + 39 = 117 \u2248 117<\/span>\n      <\/div>\n      <div class=\"trick-card\">\n        <div class=\"trick-number\">1%<\/div>\n        <h4>Sposta due volte<\/h4>\n        <p>L&#8217;1% si ottiene spostando la virgola di due posizioni a sinistra.<\/p>\n        <span class=\"trick-highlight\">780 \u2192 7,80<\/span>\n      <\/div>\n    <\/div>\n    <div class=\"callout\" style=\"margin-top:24px;\">\n      \ud83d\udca1 <strong>Sconti successivi:<\/strong> Uno sconto del 30% seguito da uno del 20% <em>non<\/em> fa il 50%. Il calcolo corretto \u00e8: 1 \u2212 (0,70 \u00d7 0,80) = 1 \u2212 0,56 = <strong>44% di sconto totale<\/strong>.\n    <\/div>\n  <\/section>\n\n  <!-- SEZIONE 6: FLASHCARD -->\n  <section id=\"flashcard\">\n    <div class=\"section-label\">\ud83c\udccf Studio attivo<\/div>\n    <h2><span class=\"ez-toc-section\" id=\"Flashcard_di_ripasso\"><\/span>Flashcard di ripasso<span class=\"ez-toc-section-end\"><\/span><\/h2>\n    <p>Clicca sulla carta per vedere la risposta. Usa le frecce per navigare tra tutte le formule.<\/p>\n\n    <div class=\"flashcards-section\">\n      <div class=\"fc-arena\" onclick=\"flipCard()\" aria-label=\"Flashcard, clicca per girare\">\n        <div class=\"fc-card\" id=\"fcCard\">\n          <div class=\"fc-face fc-front\">\n            <div class=\"fc-tag\" id=\"fcTag\">Flashcard 1 \/ 10 \u2014 Formula base<\/div>\n            <div class=\"fc-question\" id=\"fcQuestion\">Come si calcola la percentuale di un numero?<\/div>\n            <div class=\"fc-hint\">\ud83d\udc46 Clicca per vedere la risposta<\/div>\n          <\/div>\n          <div class=\"fc-face fc-back\">\n            <div class=\"fc-answer-tag\">Risposta<\/div>\n            <div class=\"fc-answer\" id=\"fcAnswer\">Moltiplica il totale per la percentuale divisa 100<\/div>\n            <div class=\"fc-formula\" id=\"fcFormula\">Parte = Totale \u00d7 (% \u00f7 100)<\/div>\n          <\/div>\n        <\/div>\n      <\/div>\n\n      <div class=\"fc-nav\">\n        <button class=\"fc-btn\" onclick=\"prevCard()\">\u2190 Precedente<\/button>\n        <div class=\"fc-dots\" id=\"fcDots\"><\/div>\n        <button class=\"fc-btn primary\" onclick=\"nextCard()\">Successiva \u2192<\/button>\n      <\/div>\n      <div style=\"text-align:center; margin-top:14px;\">\n        <button class=\"fc-btn\" onclick=\"resetCards()\" style=\"font-size:12px; padding:8px 16px; color:var(--text-muted);\">\ud83d\udd04 Ricomincia<\/button>\n      <\/div>\n    <\/div>\n  <\/section>\n\n  <!-- BANNER 3: dopo flashcard \u2014 grande con angolo diverso -->\n  <a class=\"rip-banner\" href=\"https:\/\/ripetizioni-lp.futura.study\/trova-il-tuo-docente?utm_source=blog&#038;utm_medium=organic&#038;utm_campaign=calcolo-percentuale\" target=\"_blank\" rel=\"noopener\" style=\"background: linear-gradient(135deg, #0f5132 0%, #198754 60%, #20a468 100%);\">\n    <div class=\"rip-banner-icon\">\ud83c\udfaf<\/div>\n    <div class=\"rip-banner-body\">\n      <div class=\"rip-banner-label\">Ripetizioni Futura<\/div>\n      <div class=\"rip-banner-title\">Vuoi consolidare quello che hai appena imparato?<\/div>\n      <div class=\"rip-banner-sub\">Un tutor esperto ti guida passo dopo passo, dalle percentuali a tutta la matematica che ti serve.<\/div>\n    <\/div>\n    <span class=\"rip-banner-cta\">Inizia ora \u2192<\/span>\n  <\/a>\n\n  <!-- SEZIONE 7: EXCEL -->\n  <section id=\"excel\">\n    <div class=\"section-label\">\ud83d\udcca Strumenti digitali<\/div>\n    <h2><span class=\"ez-toc-section\" id=\"Come_calcolare_le_percentuali_in_Excel_e_Google_Sheets\"><\/span>Come calcolare le percentuali in Excel e Google Sheets<span class=\"ez-toc-section-end\"><\/span><\/h2>\n    <p>Le stesse formule matematiche si applicano direttamente nelle celle di Excel e Google Sheets. Ecco le formule pronte all&#8217;uso:<\/p>\n\n    <h3><span class=\"ez-toc-section\" id=\"Calcolare_la_percentuale_di_un_numero\"><\/span>Calcolare la percentuale di un numero<span class=\"ez-toc-section-end\"><\/span><\/h3>\n    <div class=\"code-block\">\n<span class=\"cm\">\/\/ Il 20% del valore in A1<\/span>\n=A1 * <span class=\"kw\">20%<\/span>\n=A1 * <span class=\"kw\">0,2<\/span>\n=A1 * (B1\/<span class=\"kw\">100<\/span>)   <span class=\"cm\">\/\/ se B1 contiene la percentuale<\/span>\n    <\/div>\n\n    <h3><span class=\"ez-toc-section\" id=\"Calcolare_che_percentuale_e_un_numero_di_un_altro\"><\/span>Calcolare che percentuale \u00e8 un numero di un altro<span class=\"ez-toc-section-end\"><\/span><\/h3>\n    <div class=\"code-block\">\n<span class=\"cm\">\/\/ A1 \u00e8 che % di B1? Formatta la cella come %<\/span>\n=A1\/B1\n<span class=\"cm\">\/\/ oppure per avere gi\u00e0 il valore numerico<\/span>\n=(A1\/B1)*<span class=\"kw\">100<\/span>\n    <\/div>\n\n    <h3><span class=\"ez-toc-section\" id=\"Variazione_percentuale_tra_due_valori\"><\/span>Variazione percentuale tra due valori<span class=\"ez-toc-section-end\"><\/span><\/h3>\n    <div class=\"code-block\">\n<span class=\"cm\">\/\/ Variazione da A1 (vecchio) a B1 (nuovo)<\/span>\n=(B1-A1)\/A1    <span class=\"cm\">\/\/ formatta come % per vedere il risultato<\/span>\n=(B1-A1)\/A1*<span class=\"kw\">100<\/span>  <span class=\"cm\">\/\/ gi\u00e0 in formato numerico<\/span>\n    <\/div>\n\n    <h3><span class=\"ez-toc-section\" id=\"Calcolo_IVA_in_Excel\"><\/span>Calcolo IVA in Excel<span class=\"ez-toc-section-end\"><\/span><\/h3>\n    <div class=\"code-block\">\n<span class=\"cm\">\/\/ Aggiungere IVA 22% al valore in A1<\/span>\n=A1 * <span class=\"kw\">1,22<\/span>\n=A1 * (1 + <span class=\"kw\">22%<\/span>)\n\n<span class=\"cm\">\/\/ Scorporare IVA 22% da un lordo in A1<\/span>\n=A1 \/ <span class=\"kw\">1,22<\/span>\n=A1 \/ (1 + <span class=\"kw\">22%<\/span>)\n    <\/div>\n\n    <h3><span class=\"ez-toc-section\" id=\"Applicare_uno_sconto_in_Excel\"><\/span>Applicare uno sconto in Excel<span class=\"ez-toc-section-end\"><\/span><\/h3>\n    <div class=\"code-block\">\n<span class=\"cm\">\/\/ Prezzo in A1, sconto in B1 (es. 0,2 per 20%)<\/span>\n=A1 * (1-B1)\n=A1 * (1-<span class=\"kw\">20%<\/span>)   <span class=\"cm\">\/\/ sconto fisso del 20%<\/span>\n    <\/div>\n  <\/section>\n\n  <!-- SEZIONE 8: ERRORI -->\n  <section id=\"errori\">\n    <div class=\"section-label\">\u26a0\ufe0f Attenzione<\/div>\n    <h2><span class=\"ez-toc-section\" id=\"Errori_comuni_da_evitare\"><\/span>Errori comuni da evitare<span class=\"ez-toc-section-end\"><\/span><\/h2>\n    <div class=\"alert\">\n      <span class=\"alert-icon\">\u274c<\/span>\n      <div class=\"alert-text\">\n        <strong>Confondere punti percentuali con percentuale relativa<\/strong>\n        Dal 5% al 7% sono +2 punti percentuali, ma \u00e8 un aumento relativo del <strong>40%<\/strong> (perch\u00e9 2\/5 \u00d7 100 = 40%). Sono due cose diverse!\n      <\/div>\n    <\/div>\n    <div class=\"alert\">\n      <span class=\"alert-icon\">\u274c<\/span>\n      <div class=\"alert-text\">\n        <strong>Sommare gli sconti invece di applicarli in sequenza<\/strong>\n        Sconto 30% + 20% \u2260 50%. Il calcolo corretto \u00e8: 100% \u2212 (70% \u00d7 80%) = 44%. Gli sconti si moltiplicano, non si sommano.\n      <\/div>\n    <\/div>\n    <div class=\"alert\">\n      <span class=\"alert-icon\">\u274c<\/span>\n      <div class=\"alert-text\">\n        <strong>Applicare la percentuale alla base sbagliata<\/strong>\n        La percentuale va sempre applicata al valore di riferimento corretto. Lo sconto va sul prezzo lordo; l&#8217;IVA si calcola sul netto. Confondere lordo e netto porta a errori gravi.\n      <\/div>\n    <\/div>\n    <div class=\"alert\">\n      <span class=\"alert-icon\">\u274c<\/span>\n      <div class=\"alert-text\">\n        <strong>Pensare che +30% e \u221230% si annullino<\/strong>\n        Se un valore aumenta del 30% e poi diminuisce del 30%, <strong>non<\/strong> torna al valore iniziale. Es: 100 \u2192 +30% = 130 \u2192 \u221230% = 91. Si perde il 9%.\n      <\/div>\n    <\/div>\n    <div class=\"alert\">\n      <span class=\"alert-icon\">\u274c<\/span>\n      <div class=\"alert-text\">\n        <strong>Dimenticare gli arrotondamenti<\/strong>\n        Nei calcoli finanziari arrotonda sempre ai centesimi alla fine di tutti i passaggi, non a ogni passaggio intermedio. Gli arrotondamenti intermedi si accumulano e portano a errori.\n      <\/div>\n    <\/div>\n  <\/section>\n\n  <!-- SEZIONE 9: FAQ -->\n  <section id=\"faq\">\n    <div class=\"section-label\">\u2753 Risposte rapide<\/div>\n    <h2><span class=\"ez-toc-section\" id=\"Domande_frequenti_sul_calcolo_percentuale\"><\/span>Domande frequenti sul calcolo percentuale<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n    <div class=\"faq-list\">\n      <div class=\"faq-item\">\n        <button class=\"faq-q\" onclick=\"toggleFaq(this)\" aria-expanded=\"false\">\n          Come si calcola la percentuale di un numero?\n          <span class=\"faq-icon\">+<\/span>\n        <\/button>\n        <div class=\"faq-a\" role=\"region\">\n          Usa la formula: <strong>Parte = Totale \u00d7 (Percentuale \u00f7 100)<\/strong>. In pratica moltiplica il numero per la percentuale in forma decimale. Esempio: il 20% di 50 \u2192 50 \u00d7 0,20 = <strong>10<\/strong>. Per passare da percentuale a decimale dividi semplicemente per 100 (20% \u00f7 100 = 0,20).\n        <\/div>\n      <\/div>\n      <div class=\"faq-item\">\n        <button class=\"faq-q\" onclick=\"toggleFaq(this)\" aria-expanded=\"false\">\n          Come calcolare la percentuale tra due numeri?\n          <span class=\"faq-icon\">+<\/span>\n        <\/button>\n        <div class=\"faq-a\" role=\"region\">\n          Usa la formula: <strong>Percentuale = (Parte \u00f7 Totale) \u00d7 100<\/strong>. Esempio: 15 su 60 \u2192 (15 \u00f7 60) \u00d7 100 = <strong>25%<\/strong>. In Excel puoi scrivere =A1\/B1 e formattare la cella come percentuale.\n        <\/div>\n      <\/div>\n      <div class=\"faq-item\">\n        <button class=\"faq-q\" onclick=\"toggleFaq(this)\" aria-expanded=\"false\">\n          Come calcolare lo sconto percentuale?\n          <span class=\"faq-icon\">+<\/span>\n        <\/button>\n        <div class=\"faq-a\" role=\"region\">\n          Prima calcola l&#8217;importo dello sconto: <strong>Sconto = Prezzo \u00d7 (% \u00f7 100)<\/strong>. Poi sottrai dal prezzo: <strong>Prezzo finale = Prezzo \u2212 Sconto<\/strong>. In forma compatta: <strong>Prezzo finale = Prezzo \u00d7 (1 \u2212 sconto\/100)<\/strong>. Esempio: 80\u20ac con sconto 20% \u2192 80 \u00d7 0,80 = <strong>64\u20ac<\/strong>.\n        <\/div>\n      <\/div>\n      <div class=\"faq-item\">\n        <button class=\"faq-q\" onclick=\"toggleFaq(this)\" aria-expanded=\"false\">\n          Come calcolare la variazione percentuale tra due numeri?\n          <span class=\"faq-icon\">+<\/span>\n        <\/button>\n        <div class=\"faq-a\" role=\"region\">\n          Formula: <strong>Variazione% = ((Valore finale \u2212 Valore iniziale) \u00f7 Valore iniziale) \u00d7 100<\/strong>. Se positiva indica un aumento, se negativa una diminuzione. Esempio: da 50 a 65 \u2192 ((65\u221250)\u00f750)\u00d7100 = <strong>+30%<\/strong>.\n        <\/div>\n      <\/div>\n      <div class=\"faq-item\">\n        <button class=\"faq-q\" onclick=\"toggleFaq(this)\" aria-expanded=\"false\">\n          Come calcolare l&#8217;IVA al 22%?\n          <span class=\"faq-icon\">+<\/span>\n        <\/button>\n        <div class=\"faq-a\" role=\"region\">\n          Per <strong>aggiungere l&#8217;IVA<\/strong>: Lordo = Netto \u00d7 1,22 (o \u00d7 1,04 per il 4%, \u00d7 1,10 per il 10%). Per <strong>scorporare l&#8217;IVA<\/strong> da un prezzo gi\u00e0 comprensivo: Netto = Lordo \u00f7 1,22. Esempio: netto 100\u20ac \u2192 lordo 122\u20ac. Lordo 122\u20ac \u2192 netto 100\u20ac.\n        <\/div>\n      <\/div>\n      <div class=\"faq-item\">\n        <button class=\"faq-q\" onclick=\"toggleFaq(this)\" aria-expanded=\"false\">\n          Qual \u00e8 la differenza tra punti percentuali e percentuale relativa?\n          <span class=\"faq-icon\">+<\/span>\n        <\/button>\n        <div class=\"faq-a\" role=\"region\">\n          I <strong>punti percentuali<\/strong> misurano la differenza aritmetica tra due percentuali. Passare dal 5% al 7% = +2 punti percentuali. La <strong>percentuale relativa<\/strong> misura di quanto \u00e8 variata la percentuale rispetto al valore di partenza: da 5% a 7% \u00e8 un aumento relativo del 40% (perch\u00e9 2\u00f75\u00d7100 = 40%).\n        <\/div>\n      <\/div>\n      <div class=\"faq-item\">\n        <button class=\"faq-q\" onclick=\"toggleFaq(this)\" aria-expanded=\"false\">\n          Come si fa il calcolo inverso della percentuale?\n          <span class=\"faq-icon\">+<\/span>\n        <\/button>\n        <div class=\"faq-a\" role=\"region\">\n          Se conosci la parte e la percentuale ma non il totale, usa: <strong>Totale = Parte \u00f7 (Percentuale \u00f7 100)<\/strong> oppure <strong>Totale = Parte \u00f7 decimale<\/strong>. Esempio: 30 \u00e8 il 15% di quanto? \u2192 30 \u00f7 0,15 = <strong>200<\/strong>.\n        <\/div>\n      <\/div>\n      <div class=\"faq-item\">\n        <button class=\"faq-q\" onclick=\"toggleFaq(this)\" aria-expanded=\"false\">\n          Come calcolare una percentuale in Excel o Google Sheets?\n          <span class=\"faq-icon\">+<\/span>\n        <\/button>\n        <div class=\"faq-a\" role=\"region\">\n          In Excel: per il 20% di A1 scrivi <code>=A1*20%<\/code> oppure <code>=A1*0,2<\/code>. Per la percentuale tra due valori: <code>=A1\/B1<\/code> con la cella formattata come %. Per la variazione percentuale: <code>=(B1-A1)\/A1<\/code> con formato %. In Google Sheets le formule sono identiche.\n        <\/div>\n      <\/div>\n      <div class=\"faq-item\">\n        <button class=\"faq-q\" onclick=\"toggleFaq(this)\" aria-expanded=\"false\">\n          Come calcolare il netto da un prezzo con IVA inclusa?\n          <span class=\"faq-icon\">+<\/span>\n        <\/button>\n        <div class=\"faq-a\" role=\"region\">\n          Per trovare il netto da un prezzo lordo (IVA gi\u00e0 inclusa), dividi il lordo per (1 + aliquota\/100). Esempi: IVA 22% \u2192 lordo \u00f7 1,22; IVA 10% \u2192 lordo \u00f7 1,10; IVA 4% \u2192 lordo \u00f7 1,04. Attenzione: non sottrarre direttamente il 22% dal lordo, daresti un risultato sbagliato.\n        <\/div>\n      <\/div>\n      <div class=\"faq-item\">\n        <button class=\"faq-q\" onclick=\"toggleFaq(this)\" aria-expanded=\"false\">\n          Come si calcola il margine percentuale su un prodotto?\n          <span class=\"faq-icon\">+<\/span>\n        <\/button>\n        <div class=\"faq-a\" role=\"region\">\n          Il <strong>margine percentuale<\/strong> (o markup) si calcola cos\u00ec: <strong>Margine% = ((Prezzo di vendita \u2212 Costo) \u00f7 Prezzo di vendita) \u00d7 100<\/strong>. Il markup si calcola invece sul costo: <strong>Markup% = ((Prezzo di vendita \u2212 Costo) \u00f7 Costo) \u00d7 100<\/strong>. Esempio: costo 60\u20ac, vendita 100\u20ac \u2192 Margine = 40%, Markup = 66,7%.\n        <\/div>\n      <\/div>\n    <\/div>\n  <\/section>\n\n<\/div><!-- end page-wrapper -->\n\n<script>\n\/\/ \u2500\u2500 CALCOLATRICE \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\n\nfunction switchTab(id) {\n  document.querySelectorAll('.calc-tab').forEach((t, i) => {\n    const ids = ['parte','percentuale','totale','sconto','variazione','iva','doppio-sconto'];\n    t.classList.toggle('active', ids[i] === id);\n  });\n  document.querySelectorAll('.calc-panel').forEach(p => p.classList.remove('active'));\n  const panel = document.getElementById('panel-' + id);\n  if (panel) panel.classList.add('active');\n}\n\nfunction fmt(n, decimals = 2) {\n  return n.toLocaleString('it-IT', { minimumFractionDigits: decimals, maximumFractionDigits: decimals });\n}\n\nfunction setResult(resId, expId, icon, label, value, detail, expHTML) {\n  const res = document.getElementById(resId);\n  const exp = document.getElementById(expId);\n  res.classList.remove('empty', 'success');\n  res.classList.add('success');\n  res.innerHTML = `<span class=\"result-icon\">${icon}<\/span>\n    <div class=\"result-text\">\n      <div class=\"result-label\">${label}<\/div>\n      <div class=\"result-value\">${value}<\/div>\n      ${detail ? `<div class=\"result-detail\">${detail}<\/div>` : ''}\n    <\/div>`;\n  if (expHTML) {\n    exp.innerHTML = expHTML;\n    exp.classList.add('show');\n  }\n}\n\nfunction clearResult(resId, expId, icon) {\n  const res = document.getElementById(resId);\n  const exp = document.getElementById(expId);\n  res.classList.add('empty');\n  res.classList.remove('success');\n  res.innerHTML = `<span class=\"result-icon\">${icon}<\/span>\n    <div class=\"result-text\">\n      <div class=\"result-label\">Risultato<\/div>\n      <div class=\"result-value\">Inserisci i valori<\/div>\n    <\/div>`;\n  exp.classList.remove('show');\n}\n\nfunction getVal(id) {\n  const v = parseFloat((document.getElementById(id).value || '').replace(',', '.'));\n  return isNaN(v) ? null : v;\n}\n\nfunction calcParte() {\n  const t = getVal('p1-totale'), p = getVal('p1-perc');\n  if (t === null || p === null) { clearResult('res-parte','exp-parte','\ud83d\udd35'); return; }\n  const r = t * (p \/ 100);\n  setResult('res-parte','exp-parte','\u2705','Risultato', fmt(r),\n    `${fmt(p)}% di ${fmt(t)}`,\n    `\ud83d\udcd0 <strong>Come \u00e8 stato calcolato:<\/strong> ${fmt(t)} \u00d7 ${fmt(p)} \u00f7 100 = ${fmt(t)} \u00d7 ${p\/100} = <strong>${fmt(r)}<\/strong>`);\n}\n\nfunction calcPercentuale() {\n  const parte = getVal('p2-parte'), tot = getVal('p2-totale');\n  if (parte === null || tot === null || tot === 0) { clearResult('res-percentuale','exp-percentuale','\ud83d\udd34'); return; }\n  const r = (parte \/ tot) * 100;\n  setResult('res-percentuale','exp-percentuale','\u2705','Percentuale', fmt(r) + '%',\n    `${fmt(parte)} su ${fmt(tot)}`,\n    `\ud83d\udcd0 <strong>Come \u00e8 stato calcolato:<\/strong> (${fmt(parte)} \u00f7 ${fmt(tot)}) \u00d7 100 = ${fmt(parte\/tot, 4)} \u00d7 100 = <strong>${fmt(r)}%<\/strong>`);\n}\n\nfunction calcTotale() {\n  const parte = getVal('p3-parte'), p = getVal('p3-perc');\n  if (parte === null || p === null || p === 0) { clearResult('res-totale','exp-totale','\ud83d\udfe2'); return; }\n  const r = parte \/ (p \/ 100);\n  setResult('res-totale','exp-totale','\u2705','Totale', fmt(r),\n    `${fmt(parte)} \u00e8 il ${fmt(p)}% di questo valore`,\n    `\ud83d\udcd0 <strong>Come \u00e8 stato calcolato:<\/strong> ${fmt(parte)} \u00f7 (${fmt(p)} \u00f7 100) = ${fmt(parte)} \u00f7 ${p\/100} = <strong>${fmt(r)}<\/strong>`);\n}\n\nfunction calcSconto() {\n  const prezzo = getVal('p4-prezzo'), sc = getVal('p4-sconto');\n  if (prezzo === null || sc === null) { clearResult('res-sconto','exp-sconto','\ud83c\udff7\ufe0f'); return; }\n  const importo = prezzo * (sc \/ 100);\n  const finale = prezzo - importo;\n  setResult('res-sconto','exp-sconto','\ud83c\udff7\ufe0f','Prezzo finale', `\u20ac ${fmt(finale)}`,\n    `Risparmi: \u20ac ${fmt(importo)} (sconto del ${fmt(sc)}%)`,\n    `\ud83d\udcd0 Sconto: ${fmt(prezzo)} \u00d7 ${fmt(sc)}% = \u20ac ${fmt(importo)} \u2192 Finale: ${fmt(prezzo)} \u2212 ${fmt(importo)} = <strong>\u20ac ${fmt(finale)}<\/strong>`);\n}\n\nfunction calcVariazione() {\n  const vecchio = getVal('p5-vecchio'), nuovo = getVal('p5-nuovo');\n  if (vecchio === null || nuovo === null || vecchio === 0) { clearResult('res-variazione','exp-variazione','\ud83d\udcc8'); return; }\n  const r = ((nuovo - vecchio) \/ vecchio) * 100;\n  const segno = r >= 0 ? '+' : '';\n  const icon = r >= 0 ? '\ud83d\udcc8' : '\ud83d\udcc9';\n  setResult('res-variazione','exp-variazione', icon, 'Variazione percentuale', `${segno}${fmt(r)}%`,\n    `Da ${fmt(vecchio)} a ${fmt(nuovo)} (differenza: ${segno}${fmt(nuovo-vecchio)})`,\n    `\ud83d\udcd0 ((${fmt(nuovo)} \u2212 ${fmt(vecchio)}) \u00f7 ${fmt(vecchio)}) \u00d7 100 = (${fmt(nuovo-vecchio)} \u00f7 ${fmt(vecchio)}) \u00d7 100 = <strong>${segno}${fmt(r)}%<\/strong>`);\n}\n\nfunction calcIva() {\n  const imp = getVal('p6-importo'), al = getVal('p6-aliquota');\n  const tipo = document.getElementById('p6-tipo').value;\n  if (imp === null || al === null) { clearResult('res-iva','exp-iva','\ud83e\uddfe'); return; }\n  if (tipo === 'aggiungi') {\n    const iva = imp * (al \/ 100);\n    const lordo = imp + iva;\n    setResult('res-iva','exp-iva','\ud83e\uddfe','Prezzo lordo (IVA inclusa)', `\u20ac ${fmt(lordo)}`,\n      `IVA ${fmt(al)}%: \u20ac ${fmt(iva)} \u2014 Netto: \u20ac ${fmt(imp)}`,\n      `\ud83d\udcd0 Netto ${fmt(imp)} \u00d7 (1 + ${fmt(al)}%) = ${fmt(imp)} \u00d7 ${1+al\/100} = <strong>\u20ac ${fmt(lordo)}<\/strong>`);\n  } else {\n    const netto = imp \/ (1 + al \/ 100);\n    const iva = imp - netto;\n    setResult('res-iva','exp-iva','\ud83e\uddfe','Prezzo netto (IVA esclusa)', `\u20ac ${fmt(netto)}`,\n      `IVA ${fmt(al)}%: \u20ac ${fmt(iva)} \u2014 Lordo: \u20ac ${fmt(imp)}`,\n      `\ud83d\udcd0 Lordo ${fmt(imp)} \u00f7 (1 + ${fmt(al)}%) = ${fmt(imp)} \u00f7 ${1+al\/100} = <strong>\u20ac ${fmt(netto)}<\/strong>`);\n  }\n}\n\nfunction calcDoppioSconto() {\n  const prezzo = getVal('p7-prezzo'), s1 = getVal('p7-sc1'), s2 = getVal('p7-sc2');\n  if (prezzo === null || s1 === null || s2 === null) { clearResult('res-doppio','exp-doppio','\ud83d\udecd\ufe0f'); return; }\n  const dopo1 = prezzo * (1 - s1\/100);\n  const finale = dopo1 * (1 - s2\/100);\n  const scontoTot = 100 - (finale\/prezzo*100);\n  setResult('res-doppio','exp-doppio','\ud83d\udecd\ufe0f','Prezzo finale', `\u20ac ${fmt(finale)}`,\n    `Sconto totale reale: \u2212${fmt(scontoTot)}% (non \u2212${fmt(s1+s2)}%)`,\n    `\ud83d\udcd0 Passo 1: ${fmt(prezzo)} \u00d7 (1\u2212${fmt(s1)}%) = \u20ac ${fmt(dopo1)} \u2192 Passo 2: ${fmt(dopo1)} \u00d7 (1\u2212${fmt(s2)}%) = <strong>\u20ac ${fmt(finale)}<\/strong>`);\n}\n\n\/\/ \u2500\u2500 FAQ \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\n\nfunction toggleFaq(btn) {\n  const item = btn.parentElement;\n  const isOpen = item.classList.contains('open');\n  document.querySelectorAll('.faq-item.open').forEach(i => i.classList.remove('open'));\n  if (!isOpen) item.classList.add('open');\n}\n\n\/\/ \u2500\u2500 FLASHCARDS \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\n\nconst cards = [\n  {\n    tag: 'Formula base',\n    q: 'Come si calcola la percentuale di un numero?',\n    a: 'Moltiplica il totale per la percentuale in forma decimale',\n    f: 'Parte = Totale \u00d7 (% \u00f7 100)'\n  },\n  {\n    tag: 'Calcolo inverso',\n    q: 'Come trovi che percentuale \u00e8 un numero rispetto a un altro?',\n    a: 'Dividi la parte per il totale e moltiplica per 100',\n    f: '% = (Parte \u00f7 Totale) \u00d7 100'\n  },\n  {\n    tag: 'Calcolo inverso',\n    q: 'Come trovi il totale se conosci la parte e la percentuale?',\n    a: 'Dividi la parte per la percentuale espressa come decimale',\n    f: 'Totale = Parte \u00f7 (% \u00f7 100)'\n  },\n  {\n    tag: 'Variazione %',\n    q: 'Come calcoli la variazione percentuale tra due numeri?',\n    a: 'Sottrai il vecchio dal nuovo, dividi per il vecchio e moltiplica per 100',\n    f: 'Var% = ((Nuovo \u2212 Vecchio) \u00f7 Vecchio) \u00d7 100'\n  },\n  {\n    tag: 'Sconto',\n    q: 'Qual \u00e8 la formula rapida per calcolare il prezzo scontato?',\n    a: 'Moltiplica il prezzo per (1 meno lo sconto in decimale)',\n    f: 'Prezzo finale = Prezzo \u00d7 (1 \u2212 sconto\/100)'\n  },\n  {\n    tag: 'IVA',\n    q: 'Come si aggiunge l\\'IVA al 22% a un prezzo netto?',\n    a: 'Moltiplica il netto per 1,22',\n    f: 'Lordo = Netto \u00d7 (1 + aliquota\/100)'\n  },\n  {\n    tag: 'IVA \u2014 scorporo',\n    q: 'Come si scorporo l\\'IVA al 22% da un prezzo lordo?',\n    a: 'Dividi il lordo per 1,22 (non sottrarre il 22%!)',\n    f: 'Netto = Lordo \u00f7 1,22'\n  },\n  {\n    tag: 'Trucco mentale',\n    q: 'Come calcoli velocemente il 10% di un numero?',\n    a: 'Sposta la virgola decimale di una posizione a sinistra',\n    f: '10% di 780 \u2192 78,0'\n  },\n  {\n    tag: 'Doppio sconto',\n    q: 'Sconto 30% + sconto 20%: qual \u00e8 il vero sconto totale?',\n    a: 'Il 44%, non il 50%. Gli sconti si moltiplicano, non si sommano',\n    f: '1 \u2212 (0,70 \u00d7 0,80) = 1 \u2212 0,56 = 44%'\n  },\n  {\n    tag: 'Errore comune',\n    q: 'Se un valore sale del 30% e poi scende del 30%, torna al punto di partenza?',\n    a: 'No! Esempio: 100 \u2192 +30% = 130 \u2192 \u221230% = 91. Si perde il 9%',\n    f: '100 \u00d7 1,30 \u00d7 0,70 = 91 \u2260 100'\n  }\n];\n\nlet current = 0;\nlet flipped = false;\nlet done = [];\n\nfunction renderDots() {\n  const d = document.getElementById('fcDots');\n  d.innerHTML = cards.map((_, i) =>\n    `<div class=\"fc-dot ${i === current ? 'active' : ''} ${done.includes(i) ? 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