how to find the percent of something

Whether yous're leaving a tip at a eating place or figuring out but 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 whatever digital assistance.

Before you lot can calculate a pct, you should understand exactly what a percentage is.

The word percentage comes from the word percent. If yous divide the discussion percent into its root words, you run into "per" and "cent." Cent is an old European discussion with French, Latin, and Italian origins meaning "hundred." So, percent is translated directly to "per hundred." If you take 87 percent, yous literally have 87 per 100. If it snowed 13 times in the final 100 days, it snowed 13 percent of the time.

The numbers that yous will exist converting into percentages tin can be given to yous in 2 different formats: decimal and fraction. Decimal format is easier to calculate into a per centum. Converting a decimal to a percentage is as elementary every bit multiplying information technology by 100. To catechumen .87 to a percent, simply multiply .87 by 100.

.87 × 100=87, which gives us 87 pct.

Per centum is oftentimes abbreviated with the % symbol. You can nowadays your answer as 87% or 87 percent — either way is acceptable.

If you are given a fraction, convert it to a per centum past dividing the top number by the bottom number. If you are given 13/100, you would divide 13 by 100.

13 ÷ 100 = .13

And so, follow the steps above for converting a decimal to a pct.

.13 × 100 = 13, thus giving you lot 13%.

The more difficult task comes when you need to know a percentage when you are given numbers that don't fit and then neatly into 100.

Almost 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 get to taxes and you desire to discover out how much money that is. To calculate the percentage of a specific number, you first convert the pct number to a decimal.

This procedure is the reverse of what you did earlier. You divide your per centum by 100. So, 40 percent would be forty divided by 100.

40 ÷ 100 = .xl

In one case yous have the decimal version of your percentage, simply multiply it by the given number (in this example, the amount of your paycheck). If your paycheck is $750, y'all would multiply 750 by .40.

750 × .twoscore = 300

Your answer would be 300. You are paying $300 in taxes.

Permit's endeavour some other instance. You demand to save 25 percent of your paycheck for the next half dozen months to pay for an upcoming vacation. If your paycheck is $1,500, how much should yous relieve?

Kickoff by converting 25 percentage to a decimal.

25 ÷ 100 = .25

Now, multiply the decimal by the amount of your paycheck, or 1500.

1500 × .25 = 375

This means you lot need to save $375 from each paycheck.

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Source: https://www.dummies.com/article/academics-the-arts/math/basic-math/how-to-calculate-percentages-240018/

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