## How to Find PercentageIn arithmetic, the ## PercentageThe word percentage originated from the word In mathematics, it is a number or ratio represented as a fraction of 100. In other words, the percentage is defined as Suppose that in a class there is a total of It is easier to calculate percentage in decimal format or convert from percentage. The number that we want to convert into percentage may be in two different formats, Consider the following image. We see that a glass of water is half full and half empty. So, we can represent it in three different forms In percentage, it is: In decimal, it is: In fraction, it is: - To convert a fraction or decimal number to a percentage,
**multiply it by 100**. We can represent a decimal number into a percentage by moving the decimal point two places to the right. For example:**0.76×100=76%** - To convert a percent into a fraction,
**divide the percent by 100**and simplify it, if required. For example:
## Percentage ProblemsThere are basically three types of percentage problems. If X and Y are the numbers and P is a percentage, then the problem may have any of the following forms: - Find P percent of X.
- What % (percent) of X is Y?
- Find X if P percent of it is Y.
Let's see the above forms of the problem through examples. ## Find P percent of XFor solving this type of problem, we use the following formula:
In this question, 20%*250=Y Now, convert 20% into a decimal. We will remove % sign and 0.20 is the substitute value of 20%. So, we will put the decimal value in the formula. 0.20*250=Y 50.00=Y
## What % (percent) of X is Y?For solving this type of problem, we use the following formula:
In this question, On simplifying the fraction, we get: 0.25=P% Remember that the result will always in the decimal form, not in percentage form. To get the result in the percent, we need to multiply the result by 100. 0.25×100=25%
## Find X if P percent of it is YFor solving this type of problem, we use the following formula:
In this question, Now, convert 20% into a decimal. We will remove % sign and 0.20 is the substitute value of 20%. So, we will put the decimal value in the formula. On solving the above fraction, we get:
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