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Find what percent one number is of another: word problems

There are 25 students in a class. Sixteen of those students are men. What percent of the class are men?

Proportions can be used to solve percent problems.

 part _____ whole
=
 percent ______ 100

Find what percentage 16 is of 25. The part is 18. The whole is 25.

Let n represent the percent.

Write a proportion and find the cross products to solve for n.

 = 25n = 16 × 100 25n = 1,600 25n÷25 = 1,600 ÷ 25 n = 64

64% of the class are men.

Donovan took a math test and got 40 correct and 10 incorrect answers. What was the percentage of correct answers?

Proportions can be used to solve percent problems.

 part _____ whole
=
 percent ______ 100

Find what percentage 10 is of 40. The part is 10. The whole is 40.

Let n represent the percent.

Write a proportion and find the cross products to solve for n.

 = 40n = 10 × 100 40n = 1,000 40n÷40 = 1,000 ÷ 40 n = 25

The percentage of correct answers is 25%.

A student answered 67 of the 81 questions on a test correctly. What percent of the questions were answered correctly?
%

Round to the nearest thousands.