whether you desire to work out an ideal tip at a restaurant, discover out what portion discount you’re receiving top top a product or determine what a specific percentage that a number is, the need to know exactly how to find the percent of something comes up regularly. To calculation percent values, you need to know what percentage really means. Converting between decimal proportions and also percentages is simple, however it also makes the really easy to estimate straightforward percentages and also perform more complicated calculations.

You are watching: If 20 of a number is 16 what is the number


TL;DR (Too Long; Didn"t Read)

Find the portion of one number in relationship to an additional with the formula portion = (number you want to find the portion for ÷ total) × 100. Relocate the decimal suggest two places to the right to convert from a decimal to a percentage, and also two locations to the left to transform from a portion to a decimal. To discover a percentage of a number, transform the percent to a decimal and also then main point this by the original number.


A percentage is really a number telling you how countless of a details thing every hundred (i.e., per cent, in Latin) there is. There are two key steps to follow once you’re functioning what percent one number is the another. Because that example, if you gained a score of 36 the end of 60 top top a test, what percentage did girlfriend get? The an initial step is to divide the number you have by the number you desire it as a percent of. So in this case:


This is the ratio of the complete mark girlfriend received, v a maximum of 1 (for a score the 60 the end of 60). In various other words, this is the quantity you gained “per one.” So because that every note available, you obtained 0.6 marks. The portion score is the quantity you gained per hundred. This method all you need to do is multiply this an outcome by 100 to acquire the percentage:


As another example, if five students out of 15 have actually brown eyes, what is the percent of student who have brown eyes? utilizing the rule gives:


To transform from a decimal to a percentage, main point the decimal by 100. This means moving the decimal suggest two locations to the right. Because that example, 0.4 together a portion is 40 percent, and 0.99 together a percent is 99 percent.


To convert from a portion to a decimal, divide the percent by 100. This method 23 percent is 0.23 and also 50 percent is 0.5. You deserve to think about this as relocating the decimal point two places to the left.

See more: What Allows Readers To Change And Explore Known Literature ?


In some cases, it’s basic to express a percentage as a portion too. A percentage is really the numerator in a fraction where the denominator is 100. So 25 percent is really 25/100. In instances like this, the fraction is basic to simplify: 25 percent is really 1/4, and also 30 percent is yes, really 3/10. This deserve to be beneficial for working out a details percent the a number in her head.


If you desire to conserve 25 percent of every little thing you earn, exactly how much do you have to take out of a $160 paycheck? functioning out a details percent the a number for instances like this is easy. First, transform the percentage you want into a fraction or a decimal. So in this case,


Then multiply the decimal or portion by the number you want the percentage of. Because that a $160 paycheck: