To review these concepts, go to Converting Among Percents, Decimals, Fractions, and Percent Word Problems Study Guide.

**Converting Among Percents, Decimals, Fractions, and Percent Word Problems Practice Questions**

**Practice 1**

**Problems**

Match the decimal or fraction from column 1 with the correct percent in column 2.

**Solutions**

**Practice 2**

**Problems**

- 40 out of 50 is what percent?
- 140% of 20 is what number?
- 10.5 is 2% of what number?
- What number is 45% of 80?

**Solutions**

*Read and understand the question*. This question is asking for the percent one number is of another number.*Read and understand the question*. This question is looking for the percent of a number.*Read and understand the question*. This question is asking for a number when the part of the number is given.*Read and understand the question*. This question is looking for the percent of a number.

*Make a plan*. Use the proportion This question is looking for the percent, so place *x* over 100. The number after the word *of* is 50, so 50 is the **whole**. The number 40 is the **part**.

*Carry out the plan*. Set up the proportion: Cross multiply to get 50*x* = 4,000. Divide each side of the equation by 50.

*x*= 80%

40 out of 50 is equal to 80%.

*Check your answer*. Substitute the solution into the proportion to check this answer. The proportion is The cross products are each 4,000, so this answer is checking.

*Make a plan*. Use the proportion . This question gives the value 140%, so place 140 over 100. The number after the word *of* is 20, so 20 is the **whole**. The phrase *what number* appears after the word *is*, so *x* is the **part**.

*Carry out the plan. Set up the proportion*. . Cross multiply to get 100*x* = 2,800. Divide each side of the equation by 100.

*x*= 28

28 is 140% of 20.

*Check your answer*. Substitute the solution into the proportion to check this answer. The proportion is . The cross products are each 2,800, so this answer is checking.

*Make a plan*. Use the proportion . This question is looking for the **whole** (the number after the word *of* ) so place *x* in the denominator of the first fraction. The number before the word *is* is 10.5, so 10.5 is the **part**, or the numerator of the first fraction. The percent given in the question is 2%, so place 2 over 100 in the proportion.

*Carry out the plan*. Set up the proportion. . Cross multiply to get 2*x* = 1,050. Divide each side of the equation by 2.

*x*= 525

10.5 is 2% of 525.

*Check your answer*. Check this solution by finding 2% of 525. This is equal to 0.02 × 525 = 10.5, so this problem is checking.

*Make a plan*. Use the proportion . This question gives the value 45%, so place 45 over 100. The number after the word *of* is 80, so 80 is the **whole**. The phrase *what number* appears before the word *is*, so *x* is the **part**.

*Carry out the plan*. Set up the proportion: . Cross multiply to get 100*x* = 3,600. Divide each side of the equation by 100.

*x*= 36

36 is 45% of 80.

*Check your answer*. Substitute the solution into the proportion to check this answer. The proportion is . The cross products are each 3,600, so this answer is checking.

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