1. Percent Word Problems

2. A baseball pitcher won 80% of the games he pitched
A baseball pitcher won 80% of the games he pitched. If he won 35 ball games, how many games did he pitch? %
is (part) 80 35 = x
100
of (whole)
100
80x = 35 x 100
80x = 3500
x = 43.75

3. x Part (is) = % • Whole (of) • = 35 = 0.8x 0.8 0.8 35 0.80 43.75 = x
A baseball pitcher won 80% of the games he pitched. If he won 35 ball games, how many games did he pitch?
Part (is) = % • Whole (of) x 35 = •
0.80
35 = 0.8x
0.8
0.8
43.75 = x

4. x 7 = 12 100 12x = 7 x 100 12x = 700 x = 58.3% % is (part) of (whole)
Jerry, an electrician, worked 7 months out of the year.
What percent of the year did he work? (round answer to the nearest tenth %
is (part) x 7 = 12
100
of (whole)
100
12x = 7 x 100
12x = 700
x = 58.3%

5. Part (is) = % • Whole (of) = • 7 = 12x 12 12
Jerry, an electrician, worked 7 months out of the year.
What percent of the year did he work? (round answer to the nearest tenth
Part (is) = % • Whole (of) 7 = x • 12
7 = 12x 12 12
0.583 = x
58.3% = x

6. There are 28 students in a class. Sixteen of those students are boys
There are 28 students in a class. Sixteen of those students are boys. What percent of the class are boys? (Round to the nearest tenth) %
is (part) x 16 = 28
100
of (whole)
100
28x = 16 x 100
28x = 1600
x = 57.1%

7. Part (is) = % • Whole (of) = • 16 = 28x 28 28
There are 28 students in a class. Sixteen of those students are boys. What percent of the class are boys? (Round to the nearest tenth)
Part (is) = % • Whole (of) 16 = x • 28
16 = 28x 28 28
0.571 = x
57.1% = x

8. Donovan took a math test and got 35 correct and 10 incorrect answers
Donovan took a math test and got 35 correct and 10 incorrect answers. What was the percentage of the answers were correct? (Round to the nearest hundredth
is (part) % x 35 = 45
100
of (whole)
100
45x = 35 x 100
45x = 3500
x = 77.8%

9. Part (is) = % • Whole (of) = • 35 = 45x 45 45
Donovan took a math test and got 35 correct and 10 incorrect answers. What was the percentage of the answers were correct? (Round to the nearest hundredth
Part (is) = % • Whole (of) 35 = x • 45
35 = 45x 45 45
0.777 = x
77.8% = x

10. 25 50 = 100 x 25x = 50 x 100 25x = 5000 x = 200 is (part) % of (whole)
In a school, 25 % of the teachers teach basic math. If there are 50 basic math teachers, how many teachers are there in the school?
is (part) % 25 50 = x
100
of (whole)
100
25x = 50 x 100
25x = 5000
x = 200

11. Part (is) = % • Whole (of) = • 50 = 0.25x 0.25 0.25
In a school, 25 % of the teachers teach basic math. If there are 50 basic math teachers, how many teachers are there in the school?
Part (is) = % • Whole (of) 50 =
0.25 • x
50 = 0.25x
0.25
0.25
200 = x

12. You hired a new employee to work in your bakeshop
You hired a new employee to work in your bakeshop. In one hour the employee burned 625 chocolate chip cookies. If this represented 25% of the day’s production, how many cookies did you plan on producing that day?
is (part) %
625 25 = x
100
of (whole)
100
25x = 625 x 100
25x = 62500
x = 2500

13. Part (is) = % • Whole (of) = • 625 = 0.25x 0.25 0.25
You hired a new employee to work in your bakeshop. In one hour the employee burned 625 chocolate chip cookies. If this represented 25% of the day’s production, how many cookies did you plan on producing that day?
Part (is) = % • Whole (of)
625 =
0.25 • x
625 = 0.25x
0.25
0.25
2500 = x

14. 80 x = 20 100 100x = 80 x 20 100x = 1600 x = 16 He missed 4 questions
A test has 20 questions. If Paul gets 80% correct, how many questions did he miss?
Note: 80% is percent correct, we are looking for number missed %
is (part) 80 x =
x will be the number correct, we will need to subtract at the end…. 20
100
of (whole)
100
100x = 80 x 20
100x = 1600
x = 16 …
He missed 4 questions

15. Note: 80% is percent correct, we are looking for number missed
A test has 20 questions. If Paul gets 80% correct, how many questions did he miss?
Note: 80% is percent correct, we are looking for number missed
100% - 80% % %
is (part)
is (part) 80 20 x x = = 20
100 20
100
of (whole)
100
of (whole)
100
100x = 80 x 20
100x = 20 x 20
100x = 1600
100x = 400
x = 16
x = 4
He missed 4 questions
He missed 4 questions

16. Part (is) = % • Whole (of) = • x = 16
A test has 20 questions. If Paul gets 80% correct, how many questions did he miss?
Part (is) = % • Whole (of) x =
0.80 • 20
Again, 80% is percent correct, we are looking for number missed
x = 16
x will be the number correct, we will need to subtract at the end….
He missed 4 questions

17. x 18 = 24 100 24x = 18 x 100 24x = 1800 x = 75% 25% did not pass %
24 students in a class took an algebra test.
If 18 students passed the test, what percent do not pass? %
is (part)
18 students passed, we are looking for the % that did not pass x 18 = 24
100
X will be the percent that passes, we will need to subtract at the end…
of (whole)
100
24x = 18 x 100
24x = 1800
x = 75%
… 100% - 75%
25% did not pass

18. Part (is) = % • Whole (of) = • 18 = 24x 24 24
24 students in a class took an algebra test.
If 18 students passed the test, what percent do not pass?
Part (is) = % • Whole (of) 18 = x • 24
18 students passed, we are looking for the % that did not pass
18 = 24x 24
X will be the percent that passes, we will need to subtract at the end… 24
75% = x
25% did not pass

19. 30 x = 60 100 100x = 60 x 30 100x = 1800 x = 18 42 are red % is (part)
Jennifer made a fruit juice using red and green grapes. Thirty percent of the grapes are green. If she used a
total of 60 grapes, how many red grapes should she use? %
is (part) 30
30% are green, we are looking for how many red should be used x = 60
100
of (whole)
100
x will be number of green, we will have to subtract at the end….
100x = 60 x 30
100x = 1800
x = 18
42 are red

20. Part (is) = % • Whole (of) = • x = 18
Jennifer made a fruit juice using red and green grapes. Thirty percent of the grapes are green. If she used a
total of 60 grapes, how many red grapes should she use?
Part (is) = % • Whole (of)
30% are green, we are looking for how many red should be used x =
0.30 • 60
x = 18
x will be number of green, we will have to subtract at the end….
42 are red

21. A serving of ice cream contains 1200 calories.
One hundred forty-four calories come from fat.
What percent of the total calories do not come from fat? %
is (part)
144 comes from fat, we are looking for the % that does not come from fat
144 x =
1200
100
X will be the percent that comes from fat, we will need to subtract at the end
of (whole)
100
1200x = 144 x 100
1200x = 14400
x = 12%
100% - 12%
88% does not come from fat

22. Part (is) = % • Whole (of) = • 144 = 1200x 1200 1200
A serving of ice cream contains 1200 calories.
One hundred forty-four calories come from fat.
What percent of the total calories do not come from fat?
144 comes from fat, we are looking for the % that does not come from fat
Part (is) = % • Whole (of) =
144 x •
1200
X will be the percent that comes from fat, we will need to subtract at the end
144 = 1200x
1200
1200
12% = x
88% does not come from fat