© 2016 Shmoop University, Inc. All rights reserved.
Types of Numbers

Types of Numbers

At a Glance - Portion of the Whole

A percent abbreviates a fraction where the denominator is 100. However, a percent can also be thought of as telling how much a part is of the whole. For example, if 75% of all charts used to demonstrate percents are in the form of pie charts, you could demonstrate that by filling in 3/4 of a pie chart. Ooh - we hope that doesn't skew our data.

To figure out what percent a is of b, write the fraction a/b and convert into a decimal. Then change the decimal to a percent.

Sample: What percent is 6 of 24?

6/24 = 1/4 = 0.25 = 25%. So 25% of your day is spent watching television. Oof.

The question could also be phrased, "what percent of 24 is 6?" The number after the word "of" is the whole, and the other number is the part. Don't always assume the bigger number is the whole, however. You might also be asked, "what percent of 6 is 24?" The answer to that one would be 400%. Which is definitely too much television.

Example 1

1/5 = 20/100 = 20%. What is 20% of 5?

Example 2

What percent of 30 is 5?

Exercise 1

13 is what percent of 39?

Exercise 2

What percent of 50 is 600?

Exercise 3

What percent of 67 is 3.35?

People who Shmooped this also Shmooped...