how to find a percentage of something

Whether you're leaving a tip at a eating place or figuring out merely how much those fashionable shoes are on auction, you tin't get away from percentages. While at that place are numerous percentage calculators online, it'due south helpful to exist able to do some quick math in your caput to calculate percentages without any digital help.

Earlier you tin can calculate a percentage, you should understand exactly what a per centum is.

The word pct comes from the word percent. If yous split the word percent into its root words, you run into "per" and "cent." Cent is an onetime European word with French, Latin, and Italian origins significant "hundred." So, percentage is translated directly to "per hundred." If y'all accept 87 percent, you literally have 87 per 100. If it snowed xiii times in the last 100 days, information technology snowed 13 percent of the fourth dimension.

The numbers that you will exist converting into percentages can be given to you in 2 different formats: decimal and fraction. Decimal format is easier to calculate into a per centum. Converting a decimal to a pct is as unproblematic equally multiplying it by 100. To convert .87 to a percent, simply multiply .87 by 100.

.87 × 100=87, which gives us 87 percent.

Percent is frequently abbreviated with the % symbol. You lot can present your answer as 87% or 87 percent — either mode is acceptable.

If y'all are given a fraction, catechumen it to a per centum by dividing the top number by the bottom number. If you lot are given 13/100, y'all would divide 13 by 100.

13 ÷ 100 = .13

Then, follow the steps in a higher place for converting a decimal to a percent.

.13 × 100 = thirteen, thus giving yous 13%.

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

Near of the fourth dimension, you will be given a percent of a specific number. For example, you may know that 40 per centum of your paycheck will get to taxes and you want to find out how much money that is. To calculate the pct of a specific number, y'all first convert the percentage number to a decimal.

This procedure is the reverse of what y'all did earlier. You divide your percentage past 100. So, 40 percentage would be 40 divided by 100.

xl ÷ 100 = .40

Once you take the decimal version of your percentage, simply multiply it by the given number (in this instance, the amount of your paycheck). If your paycheck is $750, you would multiply 750 by .40.

750 × .40 = 300

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

Let's try some other case. You demand to save 25 pct of your paycheck for the side by side 6 months to pay for an upcoming vacation. If your paycheck is $1,500, how much should you relieve?

Start by converting 25 percent to a decimal.

25 ÷ 100 = .25

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

1500 × .25 = 375

This ways you demand 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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