Practice Percent as Ratio in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

A ratio comparing a quantity to 100, written with the % symbol; 'per cent' literally means 'per hundred'.

'Per cent' means 'per hundred'โ€”25%25\% means 25 out of every 100.

Showing a random 20 of 50 problems.

Example 1

hard
A factory produces 480480 widgets per day; 2424 are defective. What percent are defective?

Example 2

medium
Convert 720\dfrac{7}{20} to a percent.

Example 3

medium
A population grew from 8,0008{,}000 to 9,4009{,}400. What is the percent increase?

Example 4

hard
A class has boys and girls in the ratio 3:73:7. What percent of the class is boys?

Example 5

medium
Order from smallest to largest: 0.450.45, 25\dfrac{2}{5}, 48%48\%.

Example 6

medium
Express the ratio 3:123:12 as a percent.

Example 7

medium
Express 1.251.25 as a percent.

Example 8

challenge
In a class of 5050, 60%60\% are girls. Of the girls, 25%25\% play soccer. What percent of the entire class are soccer-playing girls?

Example 9

hard
A bookstore sold 4242 of 6060 copies of a novel. What percent remain unsold?

Example 10

medium
A price rises from $80\$80 to $100\$100. What is the percent increase?

Example 11

medium
A tip of 15%15\% is added to a $40\$40 bill. What is the total?

Example 12

medium
A jacket originally costs \$60 and is on sale for \$45. What percent of the original is the sale price?

Example 13

medium
Convert 58\frac{5}{8} to a percent.

Example 14

medium
A car's gas tank holds 16 gallons and currently has 12 gallons. What percent full is it?

Example 15

hard
A salary rose from \$2{,}000 to \$2{,}500 per month. Express the new salary as a percent of the old.

Example 16

medium
1818 out of 2424 students passed. What percent passed?

Example 17

medium
30%30\% of a class of 4040 wear glasses. How many is that?

Example 18

easy
Convert each to the indicated form: (a) 0.0450.045 to percent, (b) 130%130\% to decimal, (c) 38\dfrac{3}{8} to percent.

Example 19

easy
Convert 0.60.6 to a percent.

Example 20

easy
What is 100%100\% of 4242?