NAME _____________________________________________ DATE ____________________________
PERIOD ____________
Homework Practice 7.2.3
The Percent Proportion
Find each number. Show all work and circle the answer. Round to the nearest tenth if necessary.
1. What percent of 65 is 13?
2. $4 is what percent of $50?
3. What number is 35% of 22?
4. What percent of 45 is 72?
5. 1% of what number is 7?
6. 33 is 50% of what number?
8. What percent of 200 is 0.5?
9. What percent of 34 is 34?
7. What number is 3% of 100?
10. The memory card on Melcher's digital camera can hold about 430 pictures. Melcher used 18% of the memory
card while taking pictures at a family reunion. About how many pictures did Melcher take at the family reunion?
Round to the nearest whole number.
11. Use the table shown.
a. The area of the Indian Ocean is what percent of the area of the Pacific
Ocean? Round to the nearest whole percent.
Ocean
b. If the area of the Arctic Ocean is 16% of the area of the Atlantic
Ocean, what is the area of the Arctic Ocean? Round to the nearest
whole million.
Course 2 • Chapter 2
Percents
Area
(square miles)
Pacific
64 million
Atlantic
32 million
Indian
25 million
25
NAME _____________________________________________ DATE ____________________________
PERIOD ____________
Study Guide 7.2.3
The Percent Proportion
A percent proportion compares part of a quantity to a whole quantity for one ratio and lists the percent
as a number over 100 for the other ratio.
part → 𝑝
𝑛
=
} percent
whole → 𝑤 100
Example 1
What percent of 24 is 18?
𝑝
𝑤
=
𝑛
100
Percent proportion
Let n% represent the percent.
18
24
𝑛
= 100
Write the proportion.
18 × 100 = 24 × n
1,800 = 24n
1,800
24
=
Find the cross products.
Simplify.
24𝑛
24
Divide each side by 24.
75 = n
So, 18 is 75% of 24.
Example 2
What number is 60% of 150?
𝑝
𝑤
=
𝑛
100
Percent proportion
Let n% represent the percent.
𝑛
150
60
= 100
Write the proportion.
n × 100 = 150 × 60
100n = 9,000
100𝑛
100
=
Find the cross products.
Simplify.
9,000
100
Divide each side by 100.
n = 90
So, 90 is 60% of 150.
Course 2 • Chapter 2
Percents
25