# Percentages

### Questions on Percentages – ACT Math

You will have to calculate percentages on the ACT math exam, as well as use percentages to solve other types of math problems or to create equations.

Here are some examples:

1) A union has 12,500 members. A recent report shows that 22% of the members earn more than \$100,000 per year.

How many members earn more than \$100,000 per year?

A. 2,750

B. 2,200

C. 1,500

D. 150

E. 15

First, express the percentage as a decimal.

22% = 0.22

Then multiply to get the answer.

12,500 × 0.22 = 2,750

2) A class has 312 students. Thirty-nine of the students in the class participate in marching band.

What is the percentage of the students in the class that participate in marching band?

A. 8%

B. 39%

C. 0.125%

D. 1.25%

E. 12.5%

First, take the subset and divide this into the total.

Here the subset is the amount of students in marching band.

39 ÷ 312 = 0.125

Then express the decimal as a percentage.

0.125 = 12.5%

3) Consider a class which has n students. In this class, t % of the students subscribe to digital TV packages.

Which of the equations represents the number of students who do not subscribe to any digital TV package?

A. 100(nt)

B. (100% − t) × n

C. (100% − t) ÷ n

D. (1 − t)n

E. nt

If t% subscribe to digital TV packages, then 100% − t% do not subscribe.

In other words, since a percentage is any given number out of 100%, the percentange of students who do not subscribe is represented by this equation:

(100% − t%)

This equation is then multiplied by the number of students (n) in order to determine the number of students who do not subscribe to digital TV packages.

(100 − t) × n