{"id":5612,"date":"2013-03-13T15:18:11","date_gmt":"2013-03-13T15:18:11","guid":{"rendered":"http:\/\/schooltutoring.com\/scholarship\/?p=5612"},"modified":"2014-12-02T08:27:04","modified_gmt":"2014-12-02T08:27:04","slug":"math-basics-using-percents","status":"publish","type":"post","link":"https:\/\/schooltutoring.com\/scholarship\/2013\/03\/13\/math-basics-using-percents\/","title":{"rendered":"Math Basics: Using Percents"},"content":{"rendered":"

Overview:\u00a0 What Are Percents?<\/strong>
\nA percent is a special ratio that literally means “per 100.”\u00a0 Therefore 5% is 5\/100 or .05, 25% is 25\/100, or .25, 200 % is 200\/100 or twice as much, and so on.\u00a0 In grade school students learn they can think of percent as how many cents of a dollar when calculating the amount of money.<\/p>\n

Using Proportions to Find Percents<\/strong>
\nIn order to find a percent of a known number, students can use a proportion.\u00a0 Suppose the question is “What is 15% of $60.00?”\u00a0 \u00a0That can also be written as ” What proportion of n\/60 equals 15\/100?\u00a0 To set up the equation in mathematical terms n\/60 = 15\/100.\u00a0 By cross multiplying, 100n = 15X60, or 100n = 900.\u00a0 To solve for n, 100n\/100 = 900\/100, or n=9.<\/p>\n

Using Equations to Find Percents<\/strong>
\nWhen the percentage is an even number, the proportion method is easy to see.\u00a0 The equation method can also be used in the above problem as 0.15 X 60 = n.\u00a0 Multiplying 0.15 X 60, solving for n equals 9.\u00a0 That’s using the definition of what the percent means and expressing it as a decimal.\u00a0 It also makes sense if the problem asks for something like, What’s “12 1\/2% of 25? ”\u00a0 0.125 X 25 = 3.125.<\/p>\n

When the Percent Is Not Known<\/strong>
\nSometimes the percentage is what is unknown.\u00a0 For example, the example problem could be written as, “9 is what percentage of 60?”\u00a0 That can be written as x\/100 = 9\/60 .\u00a0 Using cross products , 60x =9 (100), or 60x = 900.\u00a0 Dividing both sides of the equation by 60, X = 900\/60 or 15.<\/p>\n

How Percentages Are Used in Everyday Life<\/strong>
\nBecause money is based on the decimal system, most problems involving money involve percents.\u00a0 For example, giving tips at a restaurant was once 15%, and now is 20%.\u00a0 If one has a meal and wants to know how much to give as a 20% tip, multiply the price of the meal by 20%.\u00a0 More usually, sale prices are a certain percentage and the customer wants to know how much money is actually saved on the purchase.\u00a0 (In addition, sometimes the customer wants to know if the price of an item is mentioned, how much the sale price actually saved.\u00a0 If the price has been increased before the sale, sometimes the amount of the markup and the “sale price” are equal.)<\/p>\n

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Overview:\u00a0 What Are Percents? A percent is a special ratio that literally means “per 100.”\u00a0 Therefore 5% is 5\/100 or .05, 25% is 25\/100, or .25, 200 % is 200\/100 or twice as much, and so on.\u00a0 In grade school students learn they can think of percent as how many cents of a dollar when […]<\/p>\n","protected":false},"author":22,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"categories":[11,13],"tags":[590,1311,1432],"class_list":["post-5612","post","type-post","status-publish","format-standard","hentry","category-math-fundamentals","category-pre-algebra","tag-equations","tag-percents","tag-proportions"],"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/posts\/5612","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/users\/22"}],"replies":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/comments?post=5612"}],"version-history":[{"count":0,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/posts\/5612\/revisions"}],"wp:attachment":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/media?parent=5612"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/categories?post=5612"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/tags?post=5612"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}