{"id":150327,"date":"2024-10-08T16:48:19","date_gmt":"2024-10-08T16:48:19","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=150327"},"modified":"2024-10-08T16:49:08","modified_gmt":"2024-10-08T16:49:08","slug":"84-is-12-of-what-number","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/08\/84-is-12-of-what-number\/","title":{"rendered":"84 is 12% of what number"},"content":{"rendered":"\n<p>84 is 12% of what number<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>The correct answer is: <strong>700<\/strong><\/p>\n\n\n\n<p>To determine what number 84 is 12% of, we can use the formula for percentage, which states that:<\/p>\n\n\n\n<p>[<br>\\text{Percentage} = \\left(\\frac{\\text{Part}}{\\text{Whole}}\\right) \\times 100<br>]<\/p>\n\n\n\n<p>In this scenario, we know that 84 is the &#8220;Part,&#8221; and we want to find the &#8220;Whole.&#8221; Let\u2019s denote the &#8220;Whole&#8221; as ( x ). Thus, we can rewrite the formula as:<\/p>\n\n\n\n<p>[<br>12 = \\left(\\frac{84}{x}\\right) \\times 100<br>]<\/p>\n\n\n\n<p>To isolate ( x ), we first rewrite the equation to remove the percentage:<\/p>\n\n\n\n<p>[<br>12\\% = \\frac{84}{x} \\implies 0.12 = \\frac{84}{x}<br>]<\/p>\n\n\n\n<p>Next, we can cross-multiply to solve for ( x ):<\/p>\n\n\n\n<p>[<br>0.12x = 84<br>]<\/p>\n\n\n\n<p>Now, to find ( x ), we divide both sides by 0.12:<\/p>\n\n\n\n<p>[<br>x = \\frac{84}{0.12}<br>]<\/p>\n\n\n\n<p>Calculating this gives:<\/p>\n\n\n\n<p>[<br>x = 700<br>]<\/p>\n\n\n\n<p>Thus, 84 is 12% of <strong>700<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<p>This calculation illustrates how to convert a percentage into a proportion of a total value. Percentages are a way to express a number as a fraction of 100. When we say that 84 is 12% of a number, we are essentially looking for a total amount that, when multiplied by 12% (or 0.12), yields 84.<\/p>\n\n\n\n<p>By using the formula for percentages, we derived an equation that allowed us to isolate the unknown total. Cross-multiplication is a valuable technique here, allowing us to shift terms and solve for ( x ) in a straightforward manner.<\/p>\n\n\n\n<p>Understanding this process is crucial in various real-life applications, such as financial calculations, statistics, and data analysis, where percentages frequently represent important metrics. Being comfortable with manipulating percentages and proportions can enhance one&#8217;s analytical skills and improve decision-making in both personal and professional contexts. Thus, mastering this basic mathematical skill has broad implications and applications.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>84 is 12% of what number The Correct Answer and Explanation is : The correct answer is: 700 To determine what number 84 is 12% of, we can use the formula for percentage, which states that: [\\text{Percentage} = \\left(\\frac{\\text{Part}}{\\text{Whole}}\\right) \\times 100] In this scenario, we know that 84 is the &#8220;Part,&#8221; and we want to [&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-150327","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/150327","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=150327"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/150327\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=150327"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=150327"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=150327"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}