## This is a simple method for solving percentage equations. Use this calculator for business, classroom assignments, when shopping, and in general daily life where percentage calculations are needed.

## What are Percentages?

Percentages are similar to fractions with an important difference. In fractions the whole is represented by the denominator (e.g. the number 5 in the fraction of ^{1}/_{5}) In percentages, the whole is represented by the number 100. In fact, "per cent" means "per 100" or "for each 100."

## How to Solve?

To solve the problem above, let’s convert it into equation form: **__ = 15% x 20**

In this example, the number 20 represents the whole and so, as a percentage, it would be equal to 100%. Written as a ratio, we would get: 100% : 20

If a student took a 20 question test and they got every answer correct, as a percentage they would get a 100% score on the test.

In our problem we have to evaluate the 15 percent of 20. For now, let’s call this unknown value "Y". Written as a ratio, we would get: **15% : Y**

To see a relationship between these two ratios, let’s combine them into an equation: **100% : 20 = 15% : Y**

It is critical that both of the % values should be on the same side of a ratio. For instance, if you decide to put the % value on the right side of a ratio, then the other % value should also be on the right side of its ratio.

"20 : 100% and Y : 15%" is correct.

"20 : 100% and 15% : Y" is wrong.

Let’s solve the equation for Y by first rewriting it as: **100% / 20 = 15% / Y**

Drop the percentage marks to simplify your calculations: **100 / 20 = 15 / Y**

Multiply both sides by Y to transfer it on the left side of the equation: **Y ( 100 / 20 ) = 15**

To isolate Y, multiply both sides by 20 / 100, we will have: **Y = 15 ( 20 / 100 )**

Computing the right side, we get: **Y = 3**

This leaves us with our final answer: **15% of 20 is 3**