200% of what number is 26?<\/p>\n\n\n\n
The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n To find what number 200% corresponds to when it equals 26, we can set up the equation based on the definition of percentage.<\/p>\n\n\n\n Step 1: Understanding Percentages<\/strong><\/p>\n\n\n\n The term “percent” means “per hundred.” Therefore, when we say “200% of a number,” we are effectively saying “200 out of 100 times that number.” Mathematically, this can be represented as:<\/p>\n\n\n\n [ This means that 200% of a number is simply twice that number.<\/p>\n\n\n\n Step 2: Setting Up the Equation<\/strong><\/p>\n\n\n\n Let\u2019s denote the unknown number as ( x ). According to the problem, we need to find ( x ) such that:<\/p>\n\n\n\n [ In mathematical terms, this can be expressed as:<\/p>\n\n\n\n [ Step 3: Solving for ( x )<\/strong><\/p>\n\n\n\n To solve for ( x ), we divide both sides of the equation by 2:<\/p>\n\n\n\n [ Calculating this gives:<\/p>\n\n\n\n [ Step 4: Conclusion<\/strong><\/p>\n\n\n\n Therefore, the number we are looking for is 13.<\/p>\n\n\n\n Verification:<\/strong><\/p>\n\n\n\n To verify our answer, we can check if 200% of 13 equals 26:<\/p>\n\n\n\n [ This confirms that our solution is correct.<\/p>\n\n\n\n In summary, to find what number 200% corresponds to when it equals 26, we set up the equation ( 2x = 26 ) and solved for ( x ), resulting in ( x = 13 ). Understanding how to manipulate percentages is crucial for solving similar problems in mathematics, allowing us to relate various quantities effectively.<\/p>\n","protected":false},"excerpt":{"rendered":" 200% of what number is 26? The Correct Answer and Explanation is : To find what number 200% corresponds to when it equals 26, we can set up the equation based on the definition of percentage. Explanation: Step 1: Understanding Percentages The term “percent” means “per hundred.” Therefore, when we say “200% of a number,” […]<\/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-146004","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/146004","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=146004"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/146004\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=146004"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=146004"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=146004"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Explanation:<\/h3>\n\n\n\n
200\\% = \\frac{200}{100} = 2
]<\/p>\n\n\n\n
200\\% \\text{ of } x = 26
]<\/p>\n\n\n\n
2x = 26
]<\/p>\n\n\n\n
x = \\frac{26}{2}
]<\/p>\n\n\n\n
x = 13
]<\/p>\n\n\n\n
200\\% \\text{ of } 13 = 2 \\times 13 = 26
]<\/p>\n\n\n\nSummary<\/h3>\n\n\n\n