**ratios**, they can, therefore, be written as fractions and then decimals. Converting answers from percentages to fractions to decimals can be a full exert to check the accuracy of your work.You can convert any number to a percentage.

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## Whole Numbers to Percents

To find a share of a solid, you first base need to know precisely what you ‘re measuring. For case, if 38 people in your community have library cards, and you wish to work out the percentage of library card holders in the population, you ‘ll beginning need to know the full size of your community. A share of a entire is equal to the subset of a sum divided by the total, then multiplied by 100. If your community has 230 people in it, you can calculate the percentage of people with a library circuit board. First, you divide 38 by 230, then multiply that total by 100. 38/230 = .165 .165 x 100 = 16.5 consequently 16.5 percentage of the people in your residential district have a library tease.

## Fractions Into Percents

A fraction has **two parts**, a numerator on the top and a denominator on the bottom. Any share can be expressed as a fraction with the share prize as the numerator and 100 as the denominator. so 80 percentage is besides 80/100. You can use this to convert a divide into a percentage a well. For exemplar, to turn the fraction 4/25 into a percentage, you ‘ll need a fraction with 100 as the denominator. So you ‘ll need to multiply the denominator by 4 since this will produce 100. You then need to besides multiply the numerator by the same amount. 4/25 = ( 4 x 4 ) / ( 25 ten 4 ) = 16/100

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You now have a fraction of 100, so you can convert it to a share quite easily : 16/100 is equal to 16 percentage. here ‘s another exercise : 3/5 = ( 3 x 20 ) / ( 5 adam 20 ) = 60/100 = 60 % If you have entree to a calculator, you could besides divide the numerator by the denominator and turn the fraction into a **decimal.** Decimals are bare to convert into percentage note.

## Decimals Into Percents

Decimals are flush easier to convert into percentages. To convert a decimal into a share, multiply the decimal by 100 and add the percentage sign. To multiply a decimal fraction by 100, move the decimal sharpen two digits to the right : 0.8= 0.8 adam 100 = 80 % 0.53 : 0.53 x 100 = 53 % 0.173 : 0.173 x 100 = 17.3 % You can besides use this method to convert decimal numbers that are larger than 1. Say you know there are 1.34 times as many books in your library this class than last year, and you want to know what percentage the number of books you have this year is of the books you had last class. As ahead, you would multiply 1.34 by 100 and add the percentage sign : 1.34 ten 100 = 134 % Your number exceeds 100 percentage because you ‘re comparing this year ‘s book full to the total books from survive year, a number represented by 100 percentage. Since there are more books this year, that share is larger than 100.

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## Bonus: Percents Into Decimals

You can convert percentages to decimals using the face-to-face process. rather of multiplying the decimal by 100, divide the percentage by 100. If 56 percentage of people eat ridicule beef sandwiches you could besides say that for every 100 people, 56 eat roast gripe. Divide 56 by 100. Because you ‘re dividing by 100, you ‘ll move the decimal steer two places to the left : 56/100 = 0.56 other conversion examples are : 5 % : 5/100 = 0.05, 79 % : 79/100 = 0.79, 295 % : 295/100 = 2.95