if 26% of a number is 65 . find the number<\/p>\n\n\n\n
The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n To find the number when 26% of it equals 65, we can use the formula: Percentage value=(Percent100)\u00d7Number\\text{Percentage value} = \\left( \\frac{\\text{Percent}}{100} \\right) \\times \\text{Number}<\/p>\n\n\n\n Given:<\/p>\n\n\n\n Let the unknown number be xx. Then: 26% of x=65\u21d2(26100)\u00d7x=6526\\% \\text{ of } x = 65 \\Rightarrow \\left( \\frac{26}{100} \\right) \\times x = 65 0.26x=650.26x = 65<\/p>\n\n\n\n Now solve for xx: x=650.26=250x = \\frac{65}{0.26} = 250<\/p>\n\n\n\n This is a classic percentage problem where you’re given the percentage of a number<\/strong> and asked to find the original number<\/strong>. Here’s how to approach such problems step by step.<\/p>\n\n\n\n The problem states that 26% of a number is 65<\/em>. That means if you take 26%<\/strong> of some unknown number, you end up with 65<\/strong>. In math, this is written as: 26100\u00d7x=65\\frac{26}{100} \\times x = 65<\/p>\n\n\n\n To remove the percentage, convert it to a decimal. The percentage 26% becomes 0.26<\/strong> in decimal form. So the equation becomes: 0.26\u00d7x=650.26 \\times x = 65<\/p>\n\n\n\n This is a simple algebraic equation. To isolate xx, divide both sides of the equation by 0.26: x=650.26x = \\frac{65}{0.26}<\/p>\n\n\n\n Doing the division: x=250x = 250<\/p>\n\n\n\n This means that the original number must be 250<\/strong> because 26% of 250<\/strong> is: 0.26\u00d7250=650.26 \\times 250 = 65<\/p>\n\n\n\n This type of problem is useful in real-life scenarios such as calculating discounts, tax, commissions, or interpreting test scores. Understanding how to reverse percentage operations\u2014going from a known percent value back to the base number\u2014is a valuable algebra skill. Always remember: \u201cof<\/em>\u201d in math usually means multiplication, and converting percentages to decimals is essential in calculations.<\/p>\n","protected":false},"excerpt":{"rendered":" if 26% of a number is 65 . find the number The correct answer and explanation is: To find the number when 26% of it equals 65, we can use the formula: Percentage value=(Percent100)\u00d7Number\\text{Percentage value} = \\left( \\frac{\\text{Percent}}{100} \\right) \\times \\text{Number} Given: Let the unknown number be xx. Then: 26% of x=65\u21d2(26100)\u00d7x=6526\\% \\text{ of } x = 65 […]<\/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-27321","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/27321","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=27321"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/27321\/revisions"}],"predecessor-version":[{"id":27323,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/27321\/revisions\/27323"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=27321"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=27321"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=27321"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}\n
\u2705 Correct Answer: 250<\/strong><\/h3>\n\n\n\n
\n\n\n\n\ud83d\udcd8 300-Word Explanation:<\/h3>\n\n\n\n