1. Percent Proportion Equation
Solve practical problems using proportional reasoning

2. . Percent: a number over 100 Decimal 13 6 5 % 65 % 65 % = 100 20
Express the percent as a fraction and as a decimal.
Fraction
Decimal 5 13
6 5 % .
65 % 65 % =
100 5 20
Fractions needs to be written in simplest form, if it’s possible
Move the decimal point two places to the left, then remove the symbol

3. . Percent: a number over 100 Decimal 5 1 2 5 % 125 125 % % = 100 4
Express the percent as a fraction and as a decimal.
Fraction
Decimal 25 5
1 2 5 % .
125
125 % % =
100 25 4
Fractions needs to be written in simplest form, if it’s possible
Move the decimal point two places to the left, then remove the symbol

4. Percent: a number over 100 Percent 3 15 15 % = 20 Fraction 100 100
Express the fraction as a percent.
Fraction
Percent x5 3 15 15 % = x5 20
100
100

5. Move the decimal point two places to the right, then add the % symbol
Percent: a number over 100
Express the decimal as a percent.
Decimal
Percent
0.125
1 2 5 % .
Move the decimal point two places to the right, then add the % symbol

6. Move the decimal point two places to the right, then add the % symbol
Percent: a number over 100
Express the decimal as a percent.
Decimal
Percent
3.12 3
1 2 % .
Move the decimal point two places to the right, then add the % symbol

7. Percent proportion
In a percent proportion equation, the numerator called the is , is being compared to the whole quantity called of . The other ratio is the percent written as a number, whose base is 100

8. Percent proportion Many word problems can be solved using the formula
“is over of equals percent over 100.”
The value of
the is & of come
from the problem
The number here is
already a percent, just
replace with the number
The 100 stays the same in all problems

9. Percent proportion
4 is 50% of 8 is 4 50 % = of 8
100
10 is 20% of 50 10 is 20 % = of 50
100

10. Write a sentence as an answer
Percent proportion
What number is 5% of 40?
Use cross product to solve the proportion is x x % 5 5 = = 40 of
100 40
100
Solve the equation by doing the opposite
Write a sentence as an answer
100 x = 5 40
100 x = 200
x = 2
5% of 40 is 2

11. Write a sentence as an answer
Percent proportion
72 is 6% of what number?
Use cross product to solve the proportion 72 is 72 % 6 6 = = of x
100 x
100
Solve the equation by doing the opposite
Write a sentence as an answer
6 x =
6 x = 7200
72 is 6% of 1,200
x = 1,200

12. Write a sentence as an answer
Percent proportion
8 is what percent of 40?
Use cross product to solve the proportion is 8 8 % x x = = of 40
100 40
100
Solve the equation by doing the opposite
40 x =
Write a sentence as an answer
40 x = 800
x = 20
8 is 20% of 40

13. Practice Percent proportion
What number is 45% of 180
50 is 20% of what number 50 is 20 % = is x 45 % = of x
100
180 of
100
20 x =
100 x =
20 x = 5000
100 x = 8100
x = 250
You try!
x = 81

14. Practice Percent proportion
What percent of 90 is 36?
What percent of 185 is 35 36 is % x = 35 is % x = of 90
100
185 of
100
90 x =
185 x =
90 x = 3600
185 x = 3500
x = 40
x = 18.9

15. Write a sentence as an answer He answered 80% of the test correctly.
Percent proportion
Mateo answer 20 question out of 25 in his Math test. What percent of the test does he answer correctly?
Use cross product to solve the proportion
Write a sentence as an answer 20 is 20 % x x = = of 25
100 25
100
Solve the equation by doing the opposite
25 x =
25 x = 2000
He answered 80% of the test correctly.
x = 80

16. Write a sentence as an answer He has 90 students in his class.
Percent proportion
There are 300 students in 7th grade, 30% are in Mr. Montoya’s class. How many students are in his class?
Use cross product to solve the proportion
Write a sentence as an answer is x x % 30 30 = =
300 of
100
300
100
Solve the equation by doing the opposite
100x =30 300
100 x = 9000
He has 90 students in his class.
x = 90

17. Write a sentence as an answer 60% of the calories comes from fat.
Percent proportion
A serving of ice cream contains 240 calories calories comes from fat. What percent of the total calories comes from fat ?
Use cross product to solve the proportion
Write a sentence as an answer
144 is
144 % x x = =
240 of
100
240
100
Solve the equation by doing the opposite
240x =
240 x = 14400
60% of the calories comes from fat.
x = 60

18. Write a sentence as an answer She has 8 more quarts of olive oil.
Percent proportion
Mrs. Finnegan has a large container of olive oil. She has used 2 quarts of oil, seventy-five percent of the olive oil remains. How many quarts of oil remains ?
Use cross product to solve the proportion
Write a sentence as an answer is 2 2 % 25 25 = = of x
100 x
100
Solve the equation by doing the opposite
25x =2 100
25 x = 200
She has 8 more quarts of olive oil.
x = 8