The word percent means “hundredths” or “divided by 100.” The symbol % is used to represent percent.

39% means 39 divided by 100 or

To convert a **percentage to a decimal**, remove the percent sign and divide by 100. (You can achieve the same result by moving the decimal point two places to the left.)

16.2% = 0.162

25 % = 0.25

To convert a **decimal to a percentage**, multiply by 100 and add a percent sign. (You can achieve the same result by moving the decimal point two places to the right.)

0.065 = 6.5%

3.75 = 375%

To find a **percentage of a number**, multiply the number by the decimal equivalent of the percent.

**Example 1:**

What is 30% of 40?

(0.30)(40) = 12

12 is 30% of 40.

To **find what** **percent** one number is of another, divide and convert the answer to the equivalent percent.

**Example 2:**

3 is what percent of 4?

3 ÷ 4 = 0.75 = 75%

3 is 75% of 4.

To **find a number** that is a certain percentage of another number, divide the number by the decimal equivalent of the percentage.

**Example 3:**

3 is 15% of what number?

3 ÷ 0.15 = 20

3 is 15% of 20.

To change a fraction** into a percentage**, divide to find its decimal equivalent and then change the decimal to the percentage.

15/20 = 0.75 = 75%