Unit 5: Using Proportions to Solve Percent Problems

With word problems like this, it is very important to pay close attention to the wording in order to solve correctly. It is also important to remember that percentages CAN BE MORE THAN 100%

Problem                                                                        Set Up

What is a% of b?                                                     a : 100 = x : b

What % of a is b?                                                    x : 100 =  a : b

a is b% of what?                                                      b : 100 = a : x

part ÷ whole = %               *% x whole = part               part ÷ *% = whole

*write percentages as decimals before using them in equations.

Now, complete the following practice problems:

1. What is 25% of 200?                                  11. 15% of 120 is what?

2. 75 is what % of 125?                                  12. 33 is what % of 44?

3. What is 8.5% of 224?                                  13. 62 is what % of 248?

4. 40% of what is 350?                                    14. 40% of 120 is what?

5. 18 is what percent of 350?                          15. What is 35% of 16.8?

6. What is 1.5% of 400?                                  16. What is 9% of 3,090?

7. 75 is what % of 90?                                     17. 45 is what percent of 200?

8. 140 is what % of 200?                                 18. 74 is what percent of 74?

9. 50% of what is 75?                                      19. What is 44% of 40?

10. 8.5% of 144 is what?                                 20. 121 is what % of 220?

 

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