## Percent of Quantity - Sample Math Practice Problems

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### Complexity=1, Mode=percentOf

Solve.
 1.   What is 331/3 % of 45? 2.   Find 7% of 2000.

### Complexity=1, Mode=percent

Solve.
 1.   What percent is 24 of 600? % 2.   What percent is 253 of 460? %

### Complexity=1, Mode=quantity

Solve.
 1.   112 is 175% of what number? 2.   147 is 175% of what number?

### Complexity=1

Solve.
 1.   231 is 55% of what number? 2.   What percent is 133 of 140? %

## Answers

### Complexity=1, Mode=percentOf

Solve.
#ProblemCorrect AnswerYour Answer
1What is 331/3 % of 45?
Solution
Solve by converting the percent into a fraction.
331/3 % = 33
99
=
 13
331/3 % of 45 =
 13
•  45 = 15
#ProblemCorrect AnswerYour Answer
2Find 7% of 2000.
Solution
Solve by converting the percent into a decimal.
7% = 0.07
7% of 2000 = (0.07)(2000) = 140

Alternate Solution
Solve by converting the percent into a fraction.
7% = 7
100
=
 7100
7% of 2000 =
 7100
•  2000 = 140

### Complexity=1, Mode=percent

Solve.
#ProblemCorrect AnswerYour Answer
1What percent is 24 of 600? %
Solution
Let p be the percent.
 p100 = 24600
 600p = (24)(100) p = 4
#ProblemCorrect AnswerYour Answer
2What percent is 253 of 460? %
Solution
Let p be the percent.
 p100 = 253460
 460p = (253)(100) p = 55

### Complexity=1, Mode=quantity

Solve.
#ProblemCorrect AnswerYour Answer
1112 is 175% of what number?
Solution
Convert the percent to either a fraction or decimal and solve.
 175% = 175100 = 1.75

Let n be the number.
 = 175n = (112)(100) n = 64
OR
 1.75 = n = = 64
#ProblemCorrect AnswerYour Answer
2147 is 175% of what number?
Solution
Convert the percent to either a fraction or decimal and solve.
 175% = 175100 = 1.75

Let n be the number.
 = 175n = (147)(100) n = 84
OR
 1.75 = n = = 84

### Complexity=1

Solve.
#ProblemCorrect AnswerYour Answer
1231 is 55% of what number?
Solution
Convert the percent to either a fraction or decimal and solve.
 55% = 55100 = 0.55

Let n be the number.
 = 55n = (231)(100) n = 420
OR
 0.55 = n = = 420
#ProblemCorrect AnswerYour Answer
2What percent is 133 of 140? %
Solution
Let p be the percent.
 p100 = 133140
 140p = (133)(100) p = 95
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