62.4 percent of what number is 17.16<\/p>\n\n\n\n
The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n 62.4% of 27.5<\/strong> is 17.16.<\/p>\n\n\n\n To solve the problem “62.4 percent of what number is 17.16,” we need to set up a basic percentage equation. The word “of”<\/strong> in math typically means multiplication, and “is”<\/strong> translates to the equals sign. Here’s the step-by-step breakdown:<\/p>\n\n\n\n Percent means “per hundred.” So, to convert 62.4% to a decimal, divide by 100: 62.4%=62.4100=0.62462.4\\% = \\frac{62.4}{100} = 0.624<\/p>\n\n\n\n Let the unknown number be xx. The phrase “62.4% of what number is 17.16” becomes: 0.624\u00d7x=17.160.624 \\times x = 17.16<\/p>\n\n\n\n To isolate xx, divide both sides of the equation by 0.624: x=17.160.624x = \\frac{17.16}{0.624} x=27.5x = 27.5<\/p>\n\n\n\n Multiply 27.5 by 0.624 to verify: 0.624\u00d727.5=17.160.624 \\times 27.5 = 17.16<\/p>\n\n\n\n Correct!<\/p>\n\n\n\n Understanding percent problems involves grasping the relationship between three values: the part, the whole, and the percentage. In this case, 17.16 is the part<\/strong>, 62.4% is the percentage<\/strong>, and we are solving for the whole<\/strong>.<\/p>\n\n\n\n We reversed the typical “find the percent” process. Instead of calculating what 62.4% of a number is, we already knew the result (17.16) and the percentage (62.4%). So, we worked backward to find the original number.<\/p>\n\n\n\n This method is widely used in real life, such as finding total costs from discounts, calculating population proportions, or reversing tax-inclusive prices to find the pre-tax value.<\/p>\n\n\n\n Understanding how to reverse percentages is essential for solving a broad range of practical math problems effectively.<\/p>\n","protected":false},"excerpt":{"rendered":" 62.4 percent of what number is 17.16 The correct answer and explanation is: Correct Answer: 62.4% of 27.5 is 17.16. Explanation (300 words): To solve the problem “62.4 percent of what number is 17.16,” we need to set up a basic percentage equation. The word “of” in math typically means multiplication, and “is” translates to […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-17773","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/17773","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=17773"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/17773\/revisions"}],"predecessor-version":[{"id":17774,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/17773\/revisions\/17774"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=17773"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=17773"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=17773"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Correct Answer:<\/h3>\n\n\n\n
Explanation (300 words):<\/h3>\n\n\n\n
\n\n\n\nStep 1: Convert the Percentage to a Decimal<\/h3>\n\n\n\n
\n\n\n\nStep 2: Set Up the Equation<\/h3>\n\n\n\n
\n\n\n\nStep 3: Solve for xx<\/h3>\n\n\n\n
\n\n\n\nStep 4: Check Your Work<\/h3>\n\n\n\n
\n\n\n\nWhy This Works:<\/h3>\n\n\n\n