# 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*

*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%= 40

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

ANSWER CHECK

Using percent value

Round cookies = 40% of 100 cookies = 40~~100~~^{1}× ~~100~~^{1}cookies= 40cookies

Using decimal value

Round cookies = 0.4 of 100 cookies = 0.4 × 100 cookies = 40 cookies

Answers match!

*Converting a decimal to percentage*

*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 = 6

10= 60

100= 60%If the whole box of cookies has a percent value of 100%, then 60% of it is square-shaped cookies.

ANSWER CHECK

Using decimal value

Round cookies = 0.6 of 100 cookies = 0.6 × 100 cookies = 60 cookies

Using percent value

Square cookies = 60% of 100 cookies = 60~~100~~^{1}× ~~100~~^{1}cookies= 60cookies

Answers match!

*Quick tricks:*- To convert a percentage to decimal, simply divide the number by 100%.
- To convert a decimal to percentage, simply mulltiply the number by 100%.