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.
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.
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%.
Your food costs are $23. Your total food sales are $80. What percent of your food sales do the food costs represent?