## 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: **39 = __% x 60**

In this example, the number 60 represents the whole and so, as a percentage, it would be equal to 100%. Written as a ratio, we would get: 100% : 60

If a student took a 60 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 discover what percentage 39 is out of a whole of 60. For now, let’s call this unknown percentage value "Y". Written as a ratio, we would get: **Y% : 39**

To see a relationship between these two ratios, let’s combine them into an equation: **100% : 60 = Y% : 39**

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.

"60 : 100% and 39 : Y%" is correct.

"60 : 100% and Y% : 39" is wrong.

Let’s solve the equation for Y by first rewriting it as: **100% / 60 = Y% / 39**

Drop the percentage marks to simplify your calculations: **100 / 60 = Y / 39**

Multiply both sides by 39 to isolate Y on the right side of the equation: **39 ( 100 / 60 ) = Y**

Computing the left side, we get: **65 = Y**

This leaves us with our final answer: **39 is 65% of 60**