{"id":229009,"date":"2025-06-07T19:39:55","date_gmt":"2025-06-07T19:39:55","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=229009"},"modified":"2025-06-07T19:39:58","modified_gmt":"2025-06-07T19:39:58","slug":"as-a-percent-th-shi-problem-1-258-of-the-contestant-4-frac300258","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/07\/as-a-percent-th-shi-problem-1-258-of-the-contestant-4-frac300258\/","title":{"rendered":"As a percent. th shi problem 1. 258 of the contestant 4. \\frac{300}{258}"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">as a percent. th shi problem 1. 258 of the contestant 4. \\frac{300}{258}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u2705 <strong>Correct Answer:<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">258300\u00d7100=86%\\frac{258}{300} \\times 100 = 86\\%300258\u200b\u00d7100=86%<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">So, <strong>258 is 86% of 300<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong> Explanation:<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">To understand this problem, we start by interpreting the question: &#8220;258 of the contestants&#8221; and then the fraction &#8220;300258\\frac{300}{258}258300\u200b&#8221; seem to be mistakenly mixed up. Based on the context, the likely intention is to find <strong>what percent 258 is of 300 contestants<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">In percentage problems, the basic idea is to express one quantity as a <strong>part of another<\/strong>, scaled out of 100. In other words, a percentage tells us how many parts out of 100 a number represents.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">To find what percent 258 is of 300, we use the formula:Percentage=(PartWhole)\u00d7100\\text{Percentage} = \\left( \\frac{\\text{Part}}{\\text{Whole}} \\right) \\times 100Percentage=(WholePart\u200b)\u00d7100<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Here, the <strong>part<\/strong> is 258 (the number of contestants we&#8217;re talking about), and the <strong>whole<\/strong> is 300 (the total number of contestants). Plugging the values into the formula:258300\u00d7100=86%\\frac{258}{300} \\times 100 = 86\\%300258\u200b\u00d7100=86%<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">This tells us that 258 represents <strong>86 percent of 300<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A common mistake is to reverse the numbers and calculate 300258\u00d7100\\frac{300}{258} \\times 100258300\u200b\u00d7100, which would incorrectly tell us what percent 300 is of 258\u2014not what we\u2019re being asked.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Percentages are useful in all areas of life\u2014from test scores to discounts to populations\u2014because they allow us to <strong>easily compare values regardless of their actual size<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">So in this case, if a competition had 300 contestants, and 258 of them passed a round, then <strong>86% of the contestants succeeded<\/strong>. This helps us quickly assess the success rate, efficiency, or performance without needing the actual counts every time.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner4-675.jpeg\" alt=\"\" class=\"wp-image-229010\"\/><\/figure>\n\n\n","protected":false},"excerpt":{"rendered":"<p>as a percent. th shi problem 1. 258 of the contestant 4. \\frac{300}{258} The Correct Answer and Explanation is: \u2705 Correct Answer: 258300\u00d7100=86%\\frac{258}{300} \\times 100 = 86\\%300258\u200b\u00d7100=86% So, 258 is 86% of 300. Explanation: To understand this problem, we start by interpreting the question: &#8220;258 of the contestants&#8221; and then the fraction &#8220;300258\\frac{300}{258}258300\u200b&#8221; seem 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-229009","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/229009","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=229009"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/229009\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=229009"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=229009"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=229009"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}