How to Calculate Percentages Article

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“appState”:”pageLoadApiCallsStatus”:true,”articleState”:”article”:”headers”:”creationTime”:”2017-05-25T18:45:56+00:00″,”modifiedTime”:”2021-08-26T19:45:12+00:00″,”timestamp”:”2022-06-22T19:36:44+00:00″,”data”:”breadcrumbs”:[“name”:”Academics & The Arts”,”_links”:”self”:”https://dummies-api.dummies.com/v2/categories/33662″,”slug”:”academics-the-arts”,”categoryId”:33662,”name”:”Math”,”_links”:”self”:”https://dummies-api.dummies.com/v2/categories/33720″,”slug”:”math”,”categoryId”:33720,”name”:”Basic Math”,”_links”:”self”:”https://dummies-api.dummies.com/v2/categories/33722″,”slug”:”basic-math”,”categoryId”:33722],”title”:”how to calculate percentages”,”strippedTitle”:”how to calculate percentages”,”slug”:”how-to-calculate-percentages”,”canonicalUrl”:””,”seo”:”metaDescription”:”Figure out how much to tip or how good that sale price actually is by learning how to calculate percentages.”,”noIndex”:0,”noFollow”:0,”content”:”Whether you’re leaving a tip at a restaurant or figuring out just how much those stylish shoes are on sale, you can’t get away from percentages. While there are numerous percentage calculators online, it’s helpful to be able to do some quick math in your head to calculate percentages without any digital assistance.rnrn<a href=”/wp-content/uploads/2022/07/percentages.jpg”><img class=”aligncenter wp-image-240019 size-full” src=”/wp-content/uploads/2022/07/percentages.jpg” alt=”calculating percentages” width=”535″ height=”267″ /></a>rnrnBefore you can calculate a percentage, you should understand exactly what a percentage is.rnrnThe word percentage comes from the word percent. If you split the word percent into its root words, you see “per” and “cent.” Cent is an old European word with French, Latin, and Italian origins meaning “hundred.” So, percent is translated directly to “per hundred.” If you have 87 percent, you literally have 87 per 100. If it snowed 13 times in the last 100 days, it snowed 13 percent of the time.rnrnThe numbers that you will be converting into percentages can be given to you in two different formats: decimal and fraction. Decimal format is easier to calculate into a percentage. Converting a decimal to a percentage is as simple as multiplying it by 100. To convert .87 to a percent, simply multiply .87 by 100.rnrn.87 × 100=87, which gives us 87 percent.rn<p class=”article-tips tip”>Percent is often abbreviated with the % symbol. You can present your answer as 87% or 87 percent — either way is acceptable.</p>rnIf you are given a fraction, convert it to a percentage by dividing the top number by the bottom number. If you are given 13/100, you would divide 13 by 100.rnrn13 ÷ 100 = .13rnrnThen, follow the steps above for converting a decimal to a percent.rnrn.13 × 100 = 13, thus giving you 13%.rnrnThe more difficult task comes when you need to know a percentage when you are given numbers that don’t fit so neatly into 100.rnrnMost of the time, you will be given a percentage of a specific number. For example, you may know that 40 percent of your paycheck will go to taxes and you want to find out how much money that is. To calculate the percentage of a specific number, you first convert the percentage number to a decimal.rnrnThis process is the reverse of what you did earlier. You divide your percentage by 100. So, 40 percent would be 40 divided by 100.rnrn40 ÷ 100 = .40rnrnOnce you have the decimal version of your percentage, simply multiply it by the given number (in this case, the amount of your paycheck). If your paycheck is $750, you would multiply 750 by .40.rnrn750 × .40 = 300rnrnYour answer would be 300. You are paying $300 in taxes.rnrnLet’s try another example. You need to save 25 percent of your paycheck for the next 6 months to pay for an upcoming vacation. If your paycheck is $1,500, how much should you save?rnrnStart by converting 25 percent to a decimal.rnrn25 ÷ 100 = .25rnrnNow, multiply the decimal by the amount of your paycheck, or 1500.rnrn1500 × .25 = 375rnrnThis means you need to save $375 from each paycheck.”,”description”:”Whether you’re leaving a tip at a restaurant or figuring out just how much those stylish shoes are on sale, you can’t get away from percentages. While there are numerous percentage calculators online, it’s helpful to be able to do some quick math in your head to calculate percentages without any digital assistance.rnrn<a href=”/wp-content/uploads/2022/07/percentages.jpg”><img class=”aligncenter wp-image-240019 size-full” src=”/wp-content/uploads/2022/07/percentages.jpg” alt=”calculating percentages” width=”535″ height=”267″ /></a>rnrnBefore you can calculate a percentage, you should understand exactly what a percentage is.rnrnThe word percentage comes from the word percent. If you split the word percent into its root words, you see “per” and “cent.” Cent is an old European word with French, Latin, and Italian origins meaning “hundred.” So, percent is translated directly to “per hundred.” If you have 87 percent, you literally have 87 per 100. If it snowed 13 times in the last 100 days, it snowed 13 percent of the time.rnrnThe numbers that you will be converting into percentages can be given to you in two different formats: decimal and fraction. Decimal format is easier to calculate into a percentage. Converting a decimal to a percentage is as simple as multiplying it by 100. To convert .87 to a percent, simply multiply .87 by 100.rnrn.87 × 100=87, which gives us 87 percent.rn<p class=”article-tips tip”>Percent is often abbreviated with the % symbol. You can present your answer as 87% or 87 percent — either way is acceptable.</p>rnIf you are given a fraction, convert it to a percentage by dividing the top number by the bottom number. If you are given 13/100, you would divide 13 by 100.rnrn13 ÷ 100 = .13rnrnThen, follow the steps above for converting a decimal to a percent.rnrn.13 × 100 = 13, thus giving you 13%.rnrnThe more difficult task comes when you need to know a percentage when you are given numbers that don’t fit so neatly into 100.rnrnMost of the time, you will be given a percentage of a specific number. For example, you may know that 40 percent of your paycheck will go to taxes and you want to find out how much money that is. To calculate the percentage of a specific number, you first convert the percentage number to a decimal.rnrnThis process is the reverse of what you did earlier. You divide your percentage by 100. So, 40 percent would be 40 divided by 100.rnrn40 ÷ 100 = .40rnrnOnce you have the decimal version of your percentage, simply multiply it by the given number (in this case, the amount of your paycheck). If your paycheck is $750, you would multiply 750 by .40.rnrn750 × .40 = 300rnrnYour answer would be 300. You are paying $300 in taxes.rnrnLet’s try another example. You need to save 25 percent of your paycheck for the next 6 months to pay for an upcoming vacation. If your paycheck is $1,500, how much should you save?rnrnStart by converting 25 percent to a decimal.rnrn25 ÷ 100 = .25rnrnNow, multiply the decimal by the amount of your paycheck, or 1500.rnrn1500 × .25 = 375rnrnThis means you need to save $375 from each paycheck.”,”blurb”:””,”authors”:[“authorId”:8941,”name”:”Ashley Watters, Abshier House”,”slug”:”ashley-watters-abshier-house”,”description”:””,”_links”:”self”:”https://dummies-api.dummies.com/v2/authors/8941″],”primaryCategoryTaxonomy”:”categoryId”:33722,”title”:”Basic Math”,”slug”:”basic-math”,”_links”:”self”:”https://dummies-api.dummies.com/v2/categories/33722″,”secondaryCategoryTaxonomy”:”categoryId”:0,”title”:null,”slug”:null,”_links”:null,”tertiaryCategoryTaxonomy”:”categoryId”:0,”title”:null,”slug”:null,”_links”:null,”trendingArticles”:null,”inThisArticle”:[],”relatedArticles”:”fromBook”:[],”fromCategory”:[“articleId”:291491,”title”:”Teaching Your Kids New Math (K-5) For Dummies Cheat Sheet”,”slug”:”teaching-your-kids-new-math-k-5-for-dummies-cheat-sheet”,”categoryList”:[“academics-the-arts”,”math”,”basic-math”],”_links”:”self”:”https://dummies-api.dummies.com/v2/articles/291491″,”articleId”:253710,”title”:”Pre-Algebra Practice Questions: Comparing Fractions Using Cross-Multiplication”,”slug”:”pre-algebra-practice-questions-comparing-fractions-using-cross-multiplication”,”categoryList”:[“academics-the-arts”,”math”,”basic-math”],”_links”:”self”:”https://dummies-api.dummies.com/v2/articles/253710″,”articleId”:249996,”title”:”Pre-Algebra Practice Questions: Solving Simple Algebraic Equations”,”slug”:”pre-algebra-practice-questions-solving-simple-algebraic-equations”,”categoryList”:[“academics-the-arts”,”math”,”basic-math”],”_links”:”self”:”https://dummies-api.dummies.com/v2/articles/249996″,”articleId”:249986,”title”:”Pre-Algebra Practice Questions: Isolating x in an 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x”,”slug”:”pre-algebra-practice-questions-rearranging-equations-isolate-x”,”categoryList”:[“academics-the-arts”,”math”,”basic-math”],”_links”:”self”:”https://dummies-api.dummies.com/v2/articles/249980″],”hasRelatedBookFromSearch”:true,”relatedBook”:”bookId”:282384,”slug”:”math-for-real-life-for-dummies”,”isbn”:”9781118453308″,”categoryList”:[“academics-the-arts”,”math”,”basic-math”],”amazon”:”default”:”https://www.amazon.com/gp/product/1118453301/ref=as_li_tl?ie=UTF8&tag=wiley01-20″,”ca”:”https://www.amazon.ca/gp/product/1118453301/ref=as_li_tl?ie=UTF8&tag=wiley01-20″,”indigo_ca”:”http://www.tkqlhce.com/click-9208661-13710633?url=https://www.chapters.indigo.ca/en-ca/books/product/1118453301-item.html&cjsku=978111945484″,”gb”:”https://www.amazon.co.uk/gp/product/1118453301/ref=as_li_tl?ie=UTF8&tag=wiley01-20″,”de”:”https://www.amazon.de/gp/product/1118453301/ref=as_li_tl?ie=UTF8&tag=wiley01-20″,”image”:”src”:”https://catalogimages.wiley.com/images/db/jimages/9781118453308.jpg”,”width”:250,”height”:350,”title”:”Math For Real Life For Dummies”,”testBankPinActivationLink”:””,”bookOutOfPrint”:false,”authorsInfo”:”n <p><p><b><b data-author-id=”9795″>Barry Schoenborn</b></b>, a longtime math, science, and technical writer, is the coauthor of <i>Technical Math For Dummies, Medical Dosage Calculations For Dummies, </i>and<i> Physician Assistant Exam For Dummies.</i></p></p>”,”authors”:[“authorId”:9795,”name”:”Barry Schoenborn”,”slug”:”barry-schoenborn”,”description”:” <p><b>Barry Schoenborn</b>, a longtime math, science, and technical writer, is the coauthor of <i>Technical Math For Dummies, Medical Dosage Calculations For Dummies, </i>and<i> Physician Assistant Exam For Dummies.</i></p>”,”_links”:”self”:”https://dummies-api.dummies.com/v2/authors/9795″],”_links”:”self”:”https://dummies-api.dummies.com/v2/books/282384″,”collections”:[],”articleAds”:”footerAd”:”<div class=”du-ad-region row” id=”article_page_adhesion_ad”><div class=”du-ad-unit col-md-12″ data-slot-id=”article_page_adhesion_ad” 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Category”,”mainCategoryUrl”:”/category/articles/level-0-category-0″,”navigationCategoriesLoadedStatus”:”success”,”searchState”:”searchList”:[],”searchStatus”:”initial”,”relatedArticlesList”:”term”:”240018″,”count”:5,”total”:329,”topCategory”:0,”items”:[“objectType”:”article”,”id”:240018,”data”:”title”:”how to calculate percentages”,”slug”:”how-to-calculate-percentages”,”update_time”:”2021-08-26T19:45:12+00:00″,”object_type”:”article”,”image”:null,”breadcrumbs”:[“name”:”Academics & The Arts”,”slug”:”academics-the-arts”,”categoryId”:33662,”name”:”Math”,”slug”:”math”,”categoryId”:33720,”name”:”Basic Math”,”slug”:”basic-math”,”categoryId”:33722],”description”:”Whether you’re leaving a tip at a restaurant or figuring out just how much those stylish shoes are on sale, you can’t get away from percentages. While there are numerous percentage calculators online, it’s helpful to be able to do some quick math in your head to calculate percentages without any digital assistance.rnrnrnrnBefore you can calculate a percentage, you should understand exactly what a percentage is.rnrnThe word percentage comes from the word percent. If you split the word percent into its root words, you see “per” and “cent.” Cent is an old European word with French, Latin, and Italian origins meaning “hundred.” So, percent is translated directly to “per hundred.” If you have 87 percent, you literally have 87 per 100. If it snowed 13 times in the last 100 days, it snowed 13 percent of the time.rnrnThe numbers that you will be converting into percentages can be given to you in two different formats: decimal and fraction. Decimal format is easier to calculate into a percentage. Converting a decimal to a percentage is as simple as multiplying it by 100. To convert .87 to a percent, simply multiply .87 by 100.rnrn.87 × 100=87, which gives us 87 percent.rnPercent is often abbreviated with the % symbol. You can present your answer as 87% or 87 percent — either way is acceptable.rnIf you are given a fraction, convert it to a percentage by dividing the top number by the bottom number. If you are given 13/100, you would divide 13 by 100.rnrn13 ÷ 100 = .13rnrnThen, follow the steps above for converting a decimal to a percent.rnrn.13 × 100 = 13, thus giving you 13%.rnrnThe more difficult task comes when you need to know a percentage when you are given numbers that don’t fit so neatly into 100.rnrnMost of the time, you will be given a percentage of a specific number. For example, you may know that 40 percent of your paycheck will go to taxes and you want to find out how much money that is. To calculate the percentage of a specific number, you first convert the percentage number to a decimal.rnrnThis process is the reverse of what you did earlier. You divide your percentage by 100. So, 40 percent would be 40 divided by 100.rnrn40 ÷ 100 = .40rnrnOnce you have the decimal version of your percentage, simply multiply it by the given number (in this case, the amount of your paycheck). If your paycheck is $750, you would multiply 750 by .40.rnrn750 × .40 = 300rnrnYour answer would be 300. You are paying $300 in taxes.rnrnLet’s try another example. You need to save 25 percent of your paycheck for the next 6 months to pay for an upcoming vacation. If your paycheck is $1,500, how much should you save?rnrnStart by converting 25 percent to a decimal.rnrn25 ÷ 100 = .25rnrnNow, multiply the decimal by the amount of your paycheck, or 1500.rnrn1500 × .25 = 375rnrnThis means you need to save $375 from each paycheck.”,”item_vector”:null,”titleHighlight”:null,”descriptionHighlights”:null,”headers”:null,”objectType”:”article”,”id”:191244,”data”:”title”:”How to Convert between Percents and Decimals”,”slug”:”how-to-convert-between-percents-and-decimals”,”update_time”:”2016-03-26T21:08:28+00:00″,”object_type”:”article”,”image”:null,”breadcrumbs”:[“name”:”Academics & The Arts”,”slug”:”academics-the-arts”,”categoryId”:33662,”name”:”Math”,”slug”:”math”,”categoryId”:33720,”name”:”Pre-Algebra”,”slug”:”pre-algebra”,”categoryId”:33726],”description”:”It is easy to convert percents to decimals and decimals to percents. For example, to convert a percent to a decimal, you drop the percent sign (%) and move the decimal point two places to the left. That’s all there is to it. Remember that in a whole number, the decimal point comes at the end. For example,n2.5% = 0.025n4% = 0.04n36% = 0.36n111% = 1.11nTo convert a decimal to a percent, you move the decimal point two places to the right and add a percent sign (%):n0.07 = 7%n0.21 = 21%n0.375 = 37.5%”,”item_vector”:null,”titleHighlight”:null,”descriptionHighlights”:null,”headers”:null,”objectType”:”article”,”id”:149587,”data”:”title”:”How to Convert Percents to Decimals”,”slug”:”how-to-convert-percents-to-decimals”,”update_time”:”2016-03-26T10:59:27+00:00″,”object_type”:”article”,”image”:null,”breadcrumbs”:[“name”:”Academics & The Arts”,”slug”:”academics-the-arts”,”categoryId”:33662,”name”:”Math”,”slug”:”math”,”categoryId”:33720,”name”:”Basic Math”,”slug”:”basic-math”,”categoryId”:33722],”description”:”Percents and decimals are very similar forms, so everything you know about decimals carries over when you’re working with percents. All you need to do is convert your percent to a decimal, and you’re good to go.nTo change a whole-number percent to a decimal, simply replace the percent sign with a decimal point and then move this decimal point two places to the left; after this, you can drop any trailing zeros. Here are a few common conversions between percents and decimals:nnn100% = 1n75% = 0.75n50% = 0.5nnn25% = 0.25n20% = 0.2n10% = 0.1nnnSometimes a percent already has a decimal point. In this case, just drop the percent sign and move the decimal point two places to the left. For instance, 12.5% = 0.125.nSample questionsnn Change 80% to a decimal.n0.8. Replace the percent sign with a decimal point — changing 80% to 80 — and then move the decimal point two places to the left:n80% = 0.80nAt the end, you can drop the trailing zero to get 0.8.n n Change 37.5% to a decimal.n0.375. Drop the percent sign and move the decimal point two places to the left:n37.5% = 0.375n nnPractice questionsnn Change 90% to a decimal.n n A common interest rate on an investment such as a bond is 4%. Convert 4% to a decimal.n n Find the decimal equivalent of 99.44%.n n What is 243.1% expressed as a decimal?n nnFollowing are answers to the practice questions:nn 0.9. Replace the percent sign with a decimal point and then move this decimal point two places to the left:n90% = 0.90nAt the end, drop the trailing zero to get 0.9.n n 0.04. Replace the percent sign with a decimal point and then move this decimal point two places to the left:n4% = 0.04n n 0.9944. Drop the percent sign and move the decimal point two places to the left:n99.44% = 0.9944n n 2.431. Drop the percent sign and move the decimal point two places to the left:n243.1% = 2.431n n”,”item_vector”:null,”titleHighlight”:null,”descriptionHighlights”:null,”headers”:null,”objectType”:”article”,”id”:167535,”data”:”title”:”Basic Math Tips: Percents”,”slug”:”basic-math-tips-percents”,”update_time”:”2016-03-26T15:07:57+00:00″,”object_type”:”article”,”image”:null,”breadcrumbs”:[“name”:”Academics & The Arts”,”slug”:”academics-the-arts”,”categoryId”:33662,”name”:”Math”,”slug”:”math”,”categoryId”:33720,”name”:”Basic Math”,”slug”:”basic-math”,”categoryId”:33722],”description”:”Percents are commonly used in business to represent partial amounts of money. They’re also used in statistics to indicate a portion of a data set. As you practice basic math problems, you’ll discover that percents are closely related to decimals, which means that they’re easier to work with than fractions.nn To change a percent to a decimal, move the decimal point two places to the left and drop the percent sign.n n To change a decimal to a percent, move the decimal point two places to the right and attach a percent sign.n n To change a percent to a fraction, drop the percent sign and put the number of the percent in the numerator of a fraction with a denominator of 100. If necessary, reduce the fraction.n n To change a fraction to a percent, first change the fraction to a decimal by dividing. Then change the decimal to a percent by moving the decimal point two places to the right and attaching a percent sign.n n Calculate simple percents by dividing. For example, to find 50% of a number, divide by 2; to find 25%, divide by 4; to find 20%, divide by 5; and so forth.n n You can calculate some percents by reversing the numbers. For example 14% of 50 is the same as 50% of 14, which equals 7.n n”,”item_vector”:null,”titleHighlight”:null,”descriptionHighlights”:null,”headers”:null,”objectType”:”article”,”id”:191239,”data”:”title”:”How to Convert Fractions into Percents”,”slug”:”how-to-convert-fractions-into-percents”,”update_time”:”2016-03-26T21:08:26+00:00″,”object_type”:”article”,”image”:null,”breadcrumbs”:[“name”:”Academics & The Arts”,”slug”:”academics-the-arts”,”categoryId”:33662,”name”:”Math”,”slug”:”math”,”categoryId”:33720,”name”:”Pre-Algebra”,”slug”:”pre-algebra”,”categoryId”:33726],”description”:”Converting a fraction to a percent is a simple two-step process. The first example below shows how to convert a simple fraction, and the second example shows how to convert a more complex fraction using long division. nThis first example shows you the basic steps:nn Convert the fraction to a decimal.nFor example, suppose you want to convert the fraction 4/5 to a percent. To convert 4/5 to a decimal, you can divide the numerator by the denominator:n4/5 = 0.8n n Convert this decimal to a percent. nConvert 0.8 to a percent by moving the decimal point two places to the right and adding a percent sign.n0.8 = 80%n nnThis second example shows how to convert a more complex fraction, 5/8, to a percent using long division:nn Convert 5/8 to a decimal by dividing the numerator by the denominator:nnTherefore, 5/8 = 0.625.n n Convert 0.625 to a percent by moving the decimal point two places to the right and adding a percent sign (%):n0.625 = 62.5%n n”,”item_vector”:null,”titleHighlight”:null,”descriptionHighlights”:null,”headers”:null],”relatedArticlesStatus”:”success”,”routeState”:”name”:”Article3″,”path”:”/article/academics-the-arts/math/basic-math/how-to-calculate-percentages-240018/”,”hash”:””,”query”:,”params”:”category1″:”academics-the-arts”,”category2″:”math”,”category3″:”basic-math”,”article”:”how-to-calculate-percentages-240018″,”fullPath”:”/article/academics-the-arts/math/basic-math/how-to-calculate-percentages-240018/”,”meta”:”routeType”:”article”,”breadcrumbInfo”:”suffix”:”Articles”,”baseRoute”:”/category/articles”,”prerenderWithAsyncData”:true,”from”:”name”:null,”path”:”/”,”hash”:””,”query”:,”params”:,”fullPath”:”/”,”meta”:,”dropsState”:”submitEmailResponse”:false,”status”:”initial”,”sfmcState”:”newsletterSignupStatus”:”initial”

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