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Worksheet on solving percent proportion problems with step-by-step instructions and examples.

A worksheet titled "The Percent Proportion" featuring a formula and instructions for solving percent problems, with nine word problems requiring students to set up and solve percent proportions.

A worksheet titled "The Percent Proportion" featuring a formula and instructions for solving percent problems, with nine word problems requiring students to set up and solve percent proportions.

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Show Answer Key & Explanations Step-by-step solution for: Practice: The Percent Proportion worksheet
Here are the solutions for each problem on the worksheet. I have set up the proportion for each one and solved for the missing number.

1. What is 93% of 600?
* Setup: $\frac{x}{600} = \frac{93}{100}$
* Solve: Multiply 93 by 600, then divide by 100.
$93 \times 600 = 55,800$
$55,800 \div 100 = 558$
* Answer: 558

2. 6 is 15% of what amount?
* Setup: $\frac{6}{x} = \frac{15}{100}$
* Solve: Multiply 6 by 100, then divide by 15.
$6 \times 100 = 600$
$600 \div 15 = 40$
* Answer: 40

3. What percent of 158 is 79?
* Setup: $\frac{79}{158} = \frac{x}{100}$
* Solve: Multiply 79 by 100, then divide by 158.
$79 \times 100 = 7,900$
$7,900 \div 158 = 50$
* Answer: 50%

4. What is 78% of 234?
* Setup: $\frac{x}{234} = \frac{78}{100}$
* Solve: Multiply 78 by 234, then divide by 100.
$78 \times 234 = 18,252$
$18,252 \div 100 = 182.52$
* Answer: 182.52

5. 48 is 80% of what amount?
* Setup: $\frac{48}{x} = \frac{80}{100}$
* Solve: Multiply 48 by 100, then divide by 80.
$48 \times 100 = 4,800$
$4,800 \div 80 = 60$
* Answer: 60

6. What percent of 98 is 24.5?
* Setup: $\frac{24.5}{98} = \frac{x}{100}$
* Solve: Multiply 24.5 by 100, then divide by 98.
$24.5 \times 100 = 2,450$
$2,450 \div 98 = 25$
* Answer: 25%

7. Michelle has \$15 in her pocket. If this is 5% of her monthly allowance, what is her monthly allowance?
* Setup: $\frac{15}{x} = \frac{5}{100}$
* Solve: Multiply 15 by 100, then divide by 5.
$15 \times 100 = 1,500$
$1,500 \div 5 = 300$
* Answer: \$300

8. Of the 225 guests invited to Julie's wedding, 185 attended. What percent of the invited guests attended the wedding?
* Setup: $\frac{185}{225} = \frac{x}{100}$
* Solve: Multiply 185 by 100, then divide by 225.
$185 \times 100 = 18,500$
$18,500 \div 225 \approx 82.22$
* Answer: Approximately 82.2% (or $82 \frac{2}{9}\%$)

9. Jim donates 10% of his paycheck every month to a local animal rescue. His paycheck this month was \$893. How much money did he donate?
* Setup: $\frac{x}{893} = \frac{10}{100}$
* Solve: Multiply 10 by 893, then divide by 100.
$10 \times 893 = 8,930$
$8,930 \div 100 = 89.3$
* Answer: \$89.30

Final Answer:
1. 558
2. 40
3. 50%
4. 182.52
5. 60
6. 25%
7. $300
8. ~82.2%
9. $89.30
Parent Tip: Review the logic above to help your child master the concept of proportion worksheet pdf.
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