Whole Numbers to Percents
To find a percentage of a hale, you first 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 share of library circuit board holders in the population, you ‘ll beginning need to know the full size of your community. A percentage of a total is peer to the subset of a sum divided by the entire, then multiplied by 100. If your community has 230 people in it, you can calculate the percentage of people with a library poster. First, you divide 38 by 230, then multiply that sum by 100. 38/230 = .165 .165 x 100 = 16.5 consequently 16.5 percentage of the people in your community have a library circuit board.
Fractions Into Percents
A divide has two parts, a numerator on the top and a denominator on the bottom. Any percentage can be expressed as a fraction with the percentage respect as the numerator and 100 as the denominator. so 80 percentage is besides 80/100. You can use this to convert a fraction into a share angstrom well. For example, 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 ten 4 ) / ( 25 ten 4 ) = 16/100
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You now have a divide of 100, so you can convert it to a share quite easily : 16/100 is peer to 16 percentage. here ‘s another model : 3/5 = ( 3 ten 20 ) / ( 5 x 20 ) = 60/100 = 60 % If you have access to a calculator, you could besides divide the numerator by the denominator and turn the fraction into a decimal. Decimals are dim-witted to convert into percentage note.
Decimals Into Percents
Decimals are even easier to convert into percentages. To convert a decimal fraction into a percentage, multiply the decimal by 100 and add the percentage sign. To multiply a decimal by 100, move the decimal point two digits to the veracious : 0.8= 0.8 ten 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 class is of the books you had end year. As earlier, you would multiply 1.34 by 100 and add the percentage sign : 1.34 ten 100 = 134 % Your total exceeds 100 percentage because you ‘re comparing this class ‘s bible sum to the sum books from last year, a act represented by 100 percentage. Since there are more books this year, that share is larger than 100.
Bonus: Percents Into Decimals
You can convert percentages to decimals using the opposite operation. rather of multiplying the decimal fraction by 100, divide the percentage by 100. If 56 percentage of people eat ridicule gripe sandwiches you could besides say that for every 100 people, 56 feed roast beef. Divide 56 by 100. Because you ‘re dividing by 100, you ‘ll move the decimal point two places to the leave : 56/100 = 0.56 early conversion examples are : 5 % : 5/100 = 0.05, 79 % : 79/100 = 0.79, 295 % : 295/100 = 2.95
