{"id":65002,"date":"2025-07-18T13:13:41","date_gmt":"2025-07-18T10:13:41","guid":{"rendered":"https:\/\/wpcalc.com\/en\/?p=65002"},"modified":"2026-09-30T20:43:07","modified_gmt":"2026-09-30T17:43:07","slug":"percentage-calculator","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/en\/mathematics\/percentage-calculator\/","title":{"rendered":"Percentage Calculator"},"content":{"rendered":"<section class=\"not-prose calculator-box\" aria-labelledby=\"calculator-title\"><div class=\"flex items-baseline sm:items-center justify-between gap-2 sm:gap-3\"><div class=\"flex flex-col sm:flex-row sm:items-center gap-2\"><span class=\"icon icon-calculator text-primary-700! text-base! dark:text-primary-300!\" aria-hidden=\"true\"><\/span><h2 id=\"calculator-title\" class=\"text-lg font-display font-bold\">Solve Common Percentage Problems<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"65002\" data-favorite-title=\"Percentage Calculator\" data-favorite-url=\"https:\/\/wpcalc.com\/en\/mathematics\/percentage-calculator\/\" data-favorite-excerpt=\"Solve the three most common percentage problems in one tool: find X% of Y, work out what percent X is of Y, and find the number that X is Y% of. Just pick a calculation type and enter your values.\" aria-label=\"Add to Favorites\" data-favorite-icon=\"icon icon-percent-sign\">\n    <span class=\"icon icon-shape-star-empty\" aria-hidden=\"true\"><\/span>\n  <\/button>\n  <div class=\"calcdash-favorite__tip\" aria-hidden=\"true\">\n   <span class=\"favorite-tooltip\" id=\"favorite-tooltip\"><\/span>\n  <\/div>\n  <span class=\"sr-only\" role=\"status\" id=\"favorite-status\"><\/span>\n<\/div><\/div><form action=\"https:\/\/wpcalc.com\/en\/mathematics\/percentage-calculator\/\" method=\"POST\" class=\"calculator\" id=\"calculator-65002\" data-post=\"65002\"><fieldset class=\"fieldset-input\"><legend class=\"sr-only\">Input Fields<\/legend><div class=\"field is-single\" id=\"input-1\"><label for=\"field-1\">Select type of calculation<\/label><div class=\"grid grid-cols-1\"><select id=\"field-1\" name=\"select_type_of_calculation\"><option value=\"1\">What is X% of Y?<\/option><option value=\"2\">X is what percent of Y?<\/option><option value=\"3\">X is Y% of what number?<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><div class=\"field has-term\" id=\"input-2\"><label for=\"field-2\">X<\/label><div class=\"term\">X<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"x\" id=\"field-2\" step=\"any\" value=\"20\"\/><\/div><div class=\"field has-term\" id=\"input-3\"><label for=\"field-3\">Y<\/label><div class=\"term\">Y<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"y\" id=\"field-3\" step=\"any\" value=\"200\"\/><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Re-Calculate\" id=\"calculate-button\" data-post=\"65002\">Calculate<\/button><button type=\"reset\">Reset<\/button><\/div><div class=\"field is-checkbox hidden!\" id=\"field-auto-calc\"><input type=\"checkbox\" id=\"auto-calc\"><label for=\"auto-calc\">Calculate automatically<\/label><small>If enabled, the result will update automatically when you change any value.<\/small><\/div><div class=\"fieldset-result is-hidden\" aria-labelledby=\"result-title\" aria-live=\"polite\" role=\"region\"> <h3 class=\"result-title bg-gradient-to-r from-primary-50 to-gray-50 dark:from-primary-900 dark:to-gray-800\" id=\"result-title\"><span class=\"icon icon-s-pulse\" aria-hidden=\"true\"><\/span> Your Results<\/h3><div class=\"result-box\"><div class=\"field-result\" id=\"output-1\"><span class=\"field-title\"><span>Result<\/span><\/span><span class=\"field-value\" id=\"result-1\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><\/div><div class=\"result-actions\"><button type=\"button\" class=\"copy-link\"><svg viewBox=\"0 0 20 20\" fill=\"currentColor\" aria-hidden=\"true\"><path d=\"M12.232 4.232a2.5 2.5 0 0 1 3.536 3.536l-1.225 1.224a.75.75 0 0 0 1.061 1.06l1.224-1.224a4 4 0 0 0-5.656-5.656l-3 3a4 4 0 0 0 .225 5.865.75.75 0 0 0 .977-1.138 2.5 2.5 0 0 1-.142-3.667l3-3Z\"\/><path d=\"M11.603 7.963a.75.75 0 0 0-.977 1.138 2.5 2.5 0 0 1 .142 3.667l-3 3a2.5 2.5 0 0 1-3.536-3.536l1.225-1.224a.75.75 0 0 0-1.061-1.06l-1.224 1.224a4 4 0 1 0 5.656 5.656l3-3a4 4 0 0 0-.225-5.865Z\"\/><\/svg><span class=\"copy-link__text\">Copy link to this calculation<\/span><\/button><span class=\"sr-only\" role=\"status\" id=\"copy-link-status\"><\/span><\/div><\/div><a href=\"#respond\" class=\"hidden transition-opacity duration-300 opacity-0 w-50 text-sm justify-center items-center gap-2 px-4 py-2 rounded bg-gray-200 text-gray-700 hover:bg-gray-300\" id=\"leave-comment\"><span class=\"icon icon-comments\" aria-hidden=\"true\"><\/span>Leave a Comment<\/a><\/form><\/section><section id=\"calc-reactions\" class=\"not-prose hidden my-12 bg-gradient-to-r from-primary-50 to-gray-50 border border-indigo-100 rounded-xl px-6 py-4 shadow-sm\" data-post=\"65002\" aria-live=\"polite\" aria-labelledby=\"calc-reactions-title\"><p id=\"calc-reactions-title\" class=\"text-sm text-gray-500 text-center mb-2\">How did this result make you feel?<\/p><div role=\"group\" aria-labelledby=\"calc-reactions-title\" class=\"grid grid-cols-3 sm:flex sm:flex-row sm:justify-around gap-4 sm:items-center sm:flex-wrap\"><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"like\"><span class=\"reaction-count\" data-reaction-count=\"like\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude00 <\/span><span class=\"reaction-description font-medium\">Like <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"helpful\"><span class=\"reaction-count\" data-reaction-count=\"helpful\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\udca1 <\/span><span class=\"reaction-description font-medium\">Helpful <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"confused\"><span class=\"reaction-count\" data-reaction-count=\"confused\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude15 <\/span><span class=\"reaction-description font-medium\">Confused <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"disappointed\"><span class=\"reaction-count\" data-reaction-count=\"disappointed\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude1e <\/span><span class=\"reaction-description font-medium\">Disappointed <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"inaccurate\"><span class=\"reaction-count\" data-reaction-count=\"inaccurate\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\u274c <\/span><span class=\"reaction-description font-medium\">Inaccurate <\/span><\/button><\/div><div id=\"reaction-message\" class=\"hidden mt-8 rounded-md border border-primary-100 bg-white\/50 backdrop-blur-sm px-4 py-2 text-sm text-center shadow-sm\"><\/div><\/section><div class=\"calcdash-ad not-prose calcdash-ad--calc_result calcdash-ad--in-article\"><ins class=\"adsbygoogle\" style=\"display:block\" data-ad-client=\"ca-pub-1721569815777345\" data-ad-slot=\"6317458308\" data-ad-layout=\"in-article\" data-ad-format=\"fluid\"><\/ins><script>(adsbygoogle = window.adsbygoogle || []).push({});<\/script><\/div>\n<style id=\"wpcoderpro-inline-1\">.formula-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section class=\"formula-box\" aria-labelledby=\"formula-title\">\r\n\t<div id=\"formula-title\" class=\"not-prose font-display mb-4\"><span class=\"icon icon-formula\" aria-hidden=\"true\"><\/span><h2>Percentage Calculator Formula<\/h2><\/div>\r\n\t<figure class=\"not-prose formula\">\r\n\t\t<figcaption class=\"formula-title\">Formula<\/figcaption>\r\n\t\t<div class=\"text-base text-gray-800\" id=\"formula\">\n\\[ \\text{What is } X\\% \\text{ of } Y? \\;\\Rightarrow\\; \\frac{X}{100} \\times Y \\\\ X \\text{ is what percent of } Y? \\;\\Rightarrow\\; \\frac{X}{Y} \\times 100\\% \\\\ X \\text{ is } Y\\% \\text{ of what number?} \\;\\Rightarrow\\; \\frac{X \\times 100}{Y} \\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Where:<\/strong><\/p>\n<ul>\n<li>\\(X\\) \u2014 the percentage (or the part value, depending on the problem type)<\/li>\n<li>\\(Y\\) \u2014 the base number (or the percentage, in the third problem type)<\/li>\n<\/ul>\n<p>A percentage means \"per hundred\", so every percentage problem reduces to multiplying or dividing by 100. The three formulas above are simply rearrangements of the same relationship: \\(\\text{part} = \\frac{\\text{percent}}{100} \\times \\text{whole}\\).<\/p>\n<p>\r\n<\/section>\n<style id=\"wpcoderpro-inline-459\">.calculation-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section id=\"calculation\" class=\"calculation-box\" aria-labelledby=\"calculation-title\">\r\n\t<div id=\"calculation-title\" class=\"not-prose font-display\"><span class=\"icon icon-unordered-list\" aria-hidden=\"true\"><\/span><h2>Percentage Calculator \u2013 Calculation Example<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>Example:<\/strong> a shop offers a 20% discount on a $200 item. How much do you save? Choose \"What is X% of Y?\", enter X = 20 and Y = 200.<\/p>\n<p>\\[ \\frac{20}{100} \\times 200 = 0.2 \\times 200 = 40 \\]<\/p>\n<p><strong>Result:<\/strong> 20% of 200 is 40, so the discount is $40 and the sale price is $160.<\/p>\n<p><strong>Check with the other modes:<\/strong> 40 is what percent of 200? \\(\\frac{40}{200} \\times 100 = 20\\%\\). And 40 is 20% of what number? \\(\\frac{40 \\times 100}{20} = 200\\). All three modes agree.<\/p>\n<p>\n\r\n<\/section>\n<h2>How to use the calculator<\/h2>\n<ol>\n<li>Open the <strong>Select type of calculation<\/strong> dropdown and choose the problem you need: \"What is X% of Y?\", \"X is what percent of Y?\", or \"X is Y% of what number?\".<\/li>\n<li>Enter the first number in the <strong>X<\/strong> field. In mode 1 this is the percentage; in modes 2 and 3 it is the value or part.<\/li>\n<li>Enter the second number in the <strong>Y<\/strong> field. In mode 1 this is the base number; in modes 2 and 3 it plays the opposite role.<\/li>\n<li>Read the <strong>Result<\/strong> field. In mode 2 the answer includes the % sign; in the other modes it is a plain number.<\/li>\n<li>Change any value or switch the mode \u2014 the result updates automatically.<\/li>\n<\/ol>\n<h2>What percentages are and how to read the result<\/h2>\n<p>A percentage expresses one number as a fraction of another with the denominator fixed at 100. Saying \"20%\" is the same as saying \\(\\frac{20}{100}\\) or 0.2. Because the denominator is always 100, percentages make it easy to compare proportions of different-sized quantities: a 20% markup on a small item and a 20% markup on a large one represent the same relative change, even though the dollar amounts differ.<\/p>\n<p>The three modes of this calculator cover the three ways these quantities relate to each other. Mode 1 finds the <em>part<\/em> when you know the whole and the percentage \u2014 typical for discounts, taxes, tips, and interest. Mode 2 finds the <em>percentage<\/em> when you know the part and the whole \u2014 useful for test scores, market share, or \"how much did I actually save?\". Mode 3 recovers the <em>whole<\/em> when you know a part and its percentage \u2014 for example, if a $40 discount was 20% of the original price, the original price was \\(\\frac{40 \\times 100}{20} = 200\\).<\/p>\n<p>Interpreting the result depends on context. A result of \"40\" in mode 1 carries the same units as Y (dollars, kilograms, people), because you computed a fraction of Y. A result of \"20%\" in mode 2 is dimensionless \u2014 a pure ratio. In mode 3 the result again carries the units of X. Keeping units in mind helps you sanity-check every answer.<\/p>\n<h2>Assumptions, limitations, and practical tips<\/h2>\n<ul>\n<li><strong>Y cannot be zero in modes 2 and 3.<\/strong> Dividing by zero is undefined, so the calculator shows an error if you enter Y = 0 with those modes.<\/li>\n<li><strong>Percentages can exceed 100.<\/strong> If X is larger than Y in mode 2, the result is greater than 100% \u2014 perfectly valid, for example when this year's sales are 130% of last year's.<\/li>\n<li><strong>Negative values are allowed.<\/strong> A negative X or Y can represent losses, drops, or debts; the formulas still work, but make sure the sign matches your real-world meaning.<\/li>\n<li><strong>Results are rounded to 4 decimal places.<\/strong> For repeated calculations (e.g., compound interest over many periods), small rounding differences can accumulate; use a dedicated tool for those cases.<\/li>\n<li><strong>Don't confuse percentage of with percentage change.<\/strong> This calculator answers \"what is X% of Y\" type questions. If you need the increase or decrease between two values, use the <a href=\"https:\/\/wpcalc.com\/en\/mathematics\/percentage-change-calculator\/\">Percentage Change calculator<\/a> or the <a href=\"https:\/\/wpcalc.com\/en\/mathematics\/percentage-increase-calculator\/\">Percentage Increase calculator<\/a> instead.<\/li>\n<\/ul>\n<p>For related tasks, the <a href=\"https:\/\/wpcalc.com\/en\/mathematics\/average-percentage-calculator\/\">Average Percentage calculator<\/a> combines several percentages into one, the <a href=\"https:\/\/wpcalc.com\/en\/mathematics\/percentage-difference-calculator\/\">Percentage Difference calculator<\/a> compares two numbers of equal standing, and the <a href=\"https:\/\/wpcalc.com\/en\/mathematics\/reverse-percentage-calculator\/\">Reverse Percentage calculator<\/a> handles mode-3 style problems with a dedicated interface.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Solve the three most common percentage problems in one tool: find X% of Y, work out what percent X is of Y, and find the number that X is Y% of. Just pick a calculation type and enter your values.<\/p>\n","protected":false},"author":3168,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[7],"tags":[71],"class_list":["post-65002","post","type-post","status-publish","format-standard","hentry","category-mathematics","tag-percentages-calculators"],"acf":[],"_links":{"self":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/65002","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/users\/3168"}],"replies":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/comments?post=65002"}],"version-history":[{"count":4,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/65002\/revisions"}],"predecessor-version":[{"id":66273,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/65002\/revisions\/66273"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/media?parent=65002"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/categories?post=65002"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/tags?post=65002"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}