{"id":8548,"date":"2015-06-13T23:51:29","date_gmt":"2015-06-13T23:51:29","guid":{"rendered":"https:\/\/schooltutoring.com\/help\/?p=8548"},"modified":"2015-06-13T23:51:29","modified_gmt":"2015-06-13T23:51:29","slug":"math-review-of-percents","status":"publish","type":"post","link":"https:\/\/schooltutoring.com\/help\/math-review-of-percents\/","title":{"rendered":"Math Review of Percents"},"content":{"rendered":"

Overview<\/h3>\n

Percents are special types of ratios that compare the number to 100. Similar to any ratio, a percent can be expressed as a fraction. Since percents compare to 100, they can also be expressed in decimal form.<\/p>\n

Fractions to Percents<\/h3>\n

Percent or the percent sign (%) means \u201cper 100,\u201d so 5% means the same as 5\/100, 31% means 31\/100 and so on. Many common fractions can be expressed as percents by converting the fraction in terms of 1\/100, so \u00bd is 50\/100 or 50%, \u00be is 75\/100 or 75%, 4\/5 is 80\/100 or 80%. Percentages, like fractions, can be greater than 1, so that something that is 200% is two times as much, just as 200 is twice as much as 100.<\/p>\n

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Decimals to Percents<\/h3>\n

Any decimal can be expressed as a percentage, and any percentage as a decimal. (This can be a handy shortcut if the calculator does not have a percent key). For example, 20% is 0.20, and 7% is 0.07. Similarly, 0.003 is .03%, and 3.12 is 312%. A percentage such as 120% can be expressed in decimal form as 1.20.<\/p>\n

Percents as Proportions<\/h3>\n

Percents can be expressed by the formula part\/whole =percent\/100, so that they can be compared as 2 equivalent ratios, the definition of proportion. Crossproducts can be used to then solve the equation. Suppose the problem were to find 30 is 20% of what number. 30\/x = 20\/100 is the equation for the proportion, or 20x = 30\u00b7100, or 3000. Dividing both sides by 20 to isolate the variable, x = 3000\/20, or 150. Similarly, find 50% of 50. In this case, 50\/100 = x\/50 gives the proportion, so 100x =2500, or x= 2500\/100, or x = 25. Also, 30 is what percentage of 150? This is also a proportion, as 30\/150 = x\/100, or 150x =3000, or x=3000\/150, x = 20%.<\/p>\n

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Applications of Percents<\/h3>\n

Percents are used in many different ways. For example, if a ring is 24-karat gold, it is nearly 100% pure gold. It is too soft for most jewelry, so most gold is in the 10-karat (41.7% pure gold) to 18-karat (75% pure gold) range. Suppose a ring weighs about 10 g. If it were 10 karat, 4.17 g would be gold and the rest of the ring would be other metals, but if it were 18 karat, 7.5 g would be gold. Percents are often used in sale prices, as items are often on sale for 30% off or 40% off.<\/p>\n

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Overview Percents are special types of ratios that compare the number to 100. Similar to any ratio, a percent can be expressed as a fraction. Since percents compare to 100, they can also be expressed in decimal form. Fractions to Percents Percent or the percent sign (%) means \u201cper 100,\u201d so 5% means the same […]<\/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":[457,694,1311,1432],"class_list":["post-8548","post","type-post","status-publish","format-standard","hentry","category-math-fundamentals","category-pre-algebra","tag-decimals","tag-fractions","tag-percents","tag-proportions"],"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts\/8548","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/users\/22"}],"replies":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/comments?post=8548"}],"version-history":[{"count":0,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts\/8548\/revisions"}],"wp:attachment":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/media?parent=8548"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/categories?post=8548"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/tags?post=8548"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}