# Percentages and Decimals

Percentages and decimals are related to each other and can be converted from one form to the other. Let's see how to do that.

### Converting a percentage to decimal

Example:

Following is a cookie box containing 100 assorted cookies of 2 different shapes.
40% of the whole box of cookies is round-shaped cookies. Convert this percentage to a decimal.

If the whole box of cookies has a value of 100% then 40% of that is round cookies.

 40% = 40100 = 40 ÷ 100 = 0.4
If the whole box of cookies has a decimal value of 1.0, then 0.4 of it is round cookies.

Using percent value

Using decimal value

### Converting a decimal to percentage

Example:

Following is a cookie box containing 100 assorted cookies of 2 different shapes.
0.6 of the whole box of cookies is square-shaped cookies. Convert this decimal number to a percentage.

If the whole box of cookies has a value of 1.0 then 0.6 of that is square-shaped cookies.

 0.6 = 6 ÷ 10 = 610 = 60100 = 60%
If the whole box of cookies has a percent value of 100%, then 60% of it is square-shaped cookies.

Using decimal value