Percent Word
Problems
Warm Up
What is 70% of 258?
x
70

258 100
180.6
216 is what percent of 360?
216
p

360 100
60%
16% of what number is 80?
80 16

x 100
500
A school has a total enrollment of 800 students.
Twenty percent of the students play a sport. How
many do not play a sport?

If 20% play a sport then 80% do NOT play a
sport.

80% of 800 = (.80)(800) = 640
In other words, what is 80% of 800?
x
80

800 100
640
There are 200 freshmen in a high school. 30% of
them take Spanish. How many freshmen are
enrolled in Spanish?

200(0.3) = 60
In other words, what is 30% of 200?
x
30

200 100
60
An algebra class contains 30 students.
Forty percent of the students in the class
are girls. How many boys are in the class?


Hint: If 40% of the class
are girls then 60% of the
class are boys.

(30)(.60) = 18

OR
You need to find 60% of
the 30 students.
What is 60% of 30?
x
60

30 100
x = 18
An appliance store advertises a discount of 45% off the list
price of every item. Find the total cost, including a 6% sales
tax, of a dishwasher that is listed at $410.

First find the price with
a discount:

Next, find the final price
with sales tax added:

(410)(.45) = $184.50
$410 - $184.50 =
$225.50 (New Price)

$225.50(.06) = $13.53

Final Price = $225.50 +
$13.53 = $239.03

A football is advertised on sale at a discount of
20% off its regular price of $50. How much will
Jane pay for the football if there is a 5% sales tax?

Discounted Price:

Final Price:

($50)(.20) = $10

($40)(.05) = $2

DP = $50 - $10 = $40

FP = $40 + $2 = $42
The original marked price of a video game is $43.98. During
a special discount sale, the game price is reduced by 35% of
the marked price. Then 15% of this reduced price is taken
off at the cash register. What is the final price?

First Discount Price:

2nd Discount Price:

($43.98)(.35) = $15.39

($28.59)(.15) = $4.29

1st DP = $43.98 $15.39 = $28.59

Final DP = $28.59 $4.29 = $24.30
Percent of Increase or
Decrease
Percent of Increase =
Percent of Decrease =
Amount of Increase
Original Amount
Amount of Decrease
Original Amount
Last week Dora earned $40 working part
time. This week she earned $30. What is
the percent of decrease?
(40  30)
Percent Decrease 
 100  25%
40
The high school football team won 19 games this
season. Last year the team won 15 games. The
increase in wins is what percent of the wins last
year?
(19  15)
Percent Increase 
 100  26.7%
15
In the diagram at the right DF = 20
and DE = 16. EF is what percent of
DF?
4
16
D
E
20
In other words, 4 is what percent of 20?
4
p

20 100
20%
F