### 3.9 Percentages

Problem #

Problem Statement

Problems Similar To

1.

Write 90% as a decimal

$$90$$

2.

Write 4/6% as a decimal

$$\frac{4}{6}$$

3.

Write 107% as a decimal

$$107$$

4.

Express 8 as percentage

$$8$$

5.

Express 7/9 as percentage

$$\frac{7}{9}$$

6.

What is 37% of 2?

$$\frac{37}{100} \times 2=x$$

7.

What percent of 44 is 66/5?

$$\frac{x}{100} \times 44=\frac{66}{5}$$

8.

52% of what is 39/25?

$$\frac{52}{100} \times x=\frac{39}{25}$$

9.

Population of a certain city decreased to 22% that of last year's. The population now is 195668. What was it last year?

$$\frac{22}{100} \times x=195668$$

10.

The stock market index is now at 603, which is 67% of last year's value. Where was it at last year?

$$x \times \frac{67}{100}=603$$

11.

So far this week you have worked 9/50 hours at your part time job. This is 2% of the number of hours you work each week. How many hours do you work each week?

$$x \times \frac{2}{100}=\frac{9}{50}$$

12.

Sales tax rate in State X is 19%. Estimate the sales tax on a model of a Pirate Ship that costs $\$1600$. $$1600 \times \frac{19}{100}$$ 13. In a purchase, customers pay 5% sales tax over an above the price of the article. You buy a skateboard with a printed price$\$73$, what is the total cost, with taxes, you'll need to pay?

$$73+73 \times \frac{5}{100}$$

14.

According to a nation's census, State X had about 7888500 residents. Of those, 20% are under age 18. How many of State X's residents are under the age of 18?

$$7888500 \times \frac{20}{100}$$

15.

A storage device has 900 megabytes of storage space. What percent of the space is used by a file that takes up 189 megabytes?

$$\frac{x}{100} \times 900=189$$

16.

A pharmacy discount card gives the user 58% off prescriptions. Mr. Kumar's cholesterol medication normally costs $\$10$. What is the final price with the discount card? $$33-10 \times \frac{58}{100}$$ 17. A major city's public transport system sells$\$54$ tickets at a discounted price of $\$35$. What percentage is the discount? $$\frac{54-35}{54} \times 100$$ 18. A textbook salesperson is paid a base salary of$\$88200$ plus a 4% commission on sales. Her total sales last year were $\$38600\$. Find her total pay last year?

$$88200+38600 \times \frac{4}{100}$$