{"id":262690,"date":"2025-07-20T18:35:55","date_gmt":"2025-07-20T18:35:55","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=262690"},"modified":"2025-07-20T18:35:57","modified_gmt":"2025-07-20T18:35:57","slug":"translate-to-a-proportion","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/20\/translate-to-a-proportion\/","title":{"rendered":"Translate to a proportion"},"content":{"rendered":"\n<p>Translate to a proportion: What percent of 32 is 20? Let p= the percent.<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-0-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To solve the problem &#8220;What percent of 32 is 20?&#8221;, we need to set up a proportion where ppp represents the percent.<\/p>\n\n\n\n<p>We know that:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>&#8220;p percent of 32&#8221; is the same as p100\u00d732\\frac{p}{100} \\times 32100p\u200b\u00d732.<\/li>\n\n\n\n<li>We are given that this equals 20.<\/li>\n<\/ul>\n\n\n\n<p>So, we set up the equation: p100\u00d732=20\\frac{p}{100} \\times 32 = 20100p\u200b\u00d732=20<\/p>\n\n\n\n<p>Now, we solve for ppp:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Multiply both sides by 100 to eliminate the denominator:<\/li>\n<\/ol>\n\n\n\n<p>p\u00d732=20\u00d7100p \\times 32 = 20 \\times 100p\u00d732=20\u00d7100 p\u00d732=2000p \\times 32 = 2000p\u00d732=2000<\/p>\n\n\n\n<ol start=\"2\" class=\"wp-block-list\">\n<li>Now, divide both sides by 32:<\/li>\n<\/ol>\n\n\n\n<p>p=200032p = \\frac{2000}{32}p=322000\u200b p=62.5p = 62.5p=62.5<\/p>\n\n\n\n<p>So, 62.5% of 32 is 20.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>The problem is asking for what percent 20 is of 32. This is essentially saying, &#8220;If I take 32 and find a certain percentage of it, that percentage results in 20.&#8221; By expressing it as a proportion, we can solve for ppp, the percentage.<\/p>\n\n\n\n<p>In this case, the proportion p100\u00d732=20\\frac{p}{100} \\times 32 = 20100p\u200b\u00d732=20 reflects that the fraction of 32 that equals 20 corresponds to ppp percent. This solution shows that p=62.5p = 62.5p=62.5, so 62.5% of 32 equals 20.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner6-1232.jpeg\" alt=\"\" class=\"wp-image-262696\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Translate to a proportion: What percent of 32 is 20? Let p= the percent. The Correct Answer and Explanation is: To solve the problem &#8220;What percent of 32 is 20?&#8221;, we need to set up a proportion where ppp represents the percent. We know that: So, we set up the equation: p100\u00d732=20\\frac{p}{100} \\times 32 = [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-262690","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/262690","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=262690"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/262690\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=262690"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=262690"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=262690"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}