Percent to Fraction
Change to Percent
Percent Change
% Change Word Problems
100

Change from a percent to a fraction: 50%

What is 1/2?

100

Change to a percent: 0.75

What is 75%?

100

Find the percent change and say whether it is an increase or a decrease. 

Original cost: $100 

New cost: $59

(59-100)/100 = -41/100 = -.41= -41% 

What is 41% decrease?

100

The price of gasoline rose from $3.50 to $3.71 in one week. By what percent did the gas price change? Make sure to indicate whether this is an increase or a decrease.

(3.71-3.50)/3.50 = .21/3.50= .06

What is a 6% increase

200

Change from a percent to a fraction: 10%

What is 

1/10 ?

200

Change to a percent: 12/100

What is 12%?

200

Find the cost of the tickets after sales tax. 

tickets: $52.50

sales tax: 7%


54.5 * 107% = 54.5 *1.07 = $58.32

What is $58.32?

200

As soon as a new car is purchased and driven away from the dealership, it begins to lose its value, or depreciate. Alonso bought a 1994 Plymouth Neon for $9559. One year later, the value of the car was $8500. What was the percent of change of the value of the car? Make sure to indicate whether this is an increase or a decrease. Round to the nearest whole percent.

(8500-9559)/9559 = -1059/9559 = -.11

What is 11% decrease?

300

Write the percent as a mixed number: 125%.

What is

1 1/(4)

?

300

Change to a percent: 0.325

What is 32.5%?
300

Find the cost of the jeans after the discount.

jeans: $39.99 sales

discount: 15%

39.99 * (100%-15%) = 39.99 * 85% = 39.99 *.85 = $34

What is $34.00?

300

In 1995, America Online had about 3,000,000 users. Over the next decade, users are expected to increase from a few million to the tens of millions. Suppose the number of users increases by 150% by the year 2000. How many users will there be in the year 2000? Don't forget your units!

3,000,000 *1.5 = 4,500,000 users

3,000,000 + 4,500,000 = 7,500,000

What are 7,500,000 users?

400

Write the fraction as a percent:

2 2/(17)

 Round to the nearest whole percent.

What is 212%?

400

Change to a percent: 2/5

What is 40%?

400

What is the cost of the skates after 20% discount and and 6.75% tax are applied?

skates: $99.99

99.99 * (100%-20%) = 99.99 *80% = 99.99 *.8 = 79.99

79.99 * (100% + 6.75%) = 79.99 * 106.75% = 79.99 *1.0675 = 85.39

What is $85.39?

400

You go to a restaurant and the bill is $57.23. You want to give a generous tip of 20% and the tax is 6.8%. 

$57.23* 0.2 = $11.45 tip

$57.23 * 0.068 = $3.89 

$57.23+$11.45+$3.89 = $72.57

What is $72.57

500

Write the fraction as a percent: -5

Round to the nearest hundredth of a percent.

What is -500.00%?

500

Change to a percent: 0.045

What is 4.5%?

500

What is the final cost of the book after the discount and tax?

book: $19.95 

discount: 5%

sales tax: 5%

19.95 *(100%-5%) = 19.95 *95% = 19.95 *.95 = 18.95

18.95 * (100% + 5%)= 18.95 * 105% = 18.96 *1.05 =  19.90

What is $19.90?

500

You buy a pair of running shoes for $120. You receive a 10% discount because you are a member of the local running club. The sales tax is 7.5%. What do you pay?

$120 *0.9 = $108

$108 *0.075 = $8.10

$108 + $8.10 = $116.10.

What is $116.10?


M
e
n
u