Percent Proportion Percent Proportion EquationEquation

Solve practical problems Solve practical problems using proportional reasoningusing proportional reasoning

Percent: a number over 100Percent: a number over 100

Express the percent as a fraction and Express the percent as a fraction and as a decimal.as a decimal.

65 65 % % 665 5

%%

FractioFractionn

10100 0

55

55 220 0

113 3 ==

Fractions needs to Fractions needs to

be written in be written in simplest form, if simplest form, if

it’s possibleit’s possible

DecimDecimalal 6 5 6 5

%%

..

Move the decimal Move the decimal point two places to point two places to

the left, then remove the left, then remove the symbolthe symbol

0 0

Percent: a number over 100Percent: a number over 100

Express the percent as a fraction and Express the percent as a fraction and as a decimal.as a decimal.

125 125 % % 12125 5

%%

FractioFractionn

10100 0

2525

25254 4 5 5 ==

Fractions needs to Fractions needs to

be written in be written in simplest form, if simplest form, if

it’s possibleit’s possible

DecimDecimalal 1 2 1 2 5 5

%%

..

Move the decimal Move the decimal point two places to point two places to

the left, then remove the left, then remove the symbolthe symbol

Percent: a number over 100Percent: a number over 100

Express the fraction as a percent.Express the fraction as a percent.

FractioFractionn

220 0

3 3

PercentPercent x5x5 x5x5 1010

0 0

115 5 = = 115 5 10100 0

%%

Percent: a number over 100Percent: a number over 100

Express the decimal as a percent.Express the decimal as a percent.

0.125 0.125

DecimDecimalal

PercePercentnt

1 2 1 2 5 5

%%

..

Move the decimal Move the decimal point two places to point two places to

the right, then add the the right, then add the % symbol% symbol

0 0

Percent: a number over 100Percent: a number over 100

Express the decimal as a percent.Express the decimal as a percent.

3.12 3.12

DecimDecimalal

PercePercentnt

1 2 1 2 %%

..

Move the decimal Move the decimal point two places to point two places to

the right, then add the the right, then add the % symbol% symbol

3 3

In a percent proportion equation, the numerator called the is is , is being compared to the whole quantity called of of . The other ratio is the percent written as a numbernumber, whose base is 100100

Percent Percent proportionproportion

““isis over over ofof equals equals percentpercent over over 100100.”.”

100

%

of

is

Many word problems can be solved using the formula

Percent Percent proportionproportion

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

Percent Percent proportionproportion

4 is 50% of 4 is 50% of 88 isis

ofof%%

100100==44

885050

10 is 20% of 10 is 20% of 5050 isis

ofof%%

100100==1010

50502020

Percent Percent proportionproportionWhat number is 5% of What number is 5% of

40?40?isisofof

%%100100

==xx

404055

100100==xx

404055

Use cross Use cross product product to solve to solve the the proportioproportionn100 x = 5 100 x = 5

4040

Solve the Solve the equation equation by doing by doing the the oppositeopposite100 x = 100 x =

200200100 100 100100x = x =

225% of 40 is 5% of 40 is 22

Write a Write a sentence as sentence as an answeran answer

Percent Percent proportionproportion72 is 6% of what 72 is 6% of what number?number?isisofof

%%100100

==7272

xx66

100100==7272

xx66

Use cross Use cross product product to solve to solve the the proportioproportionn6 x = 72 6 x = 72

100100

Solve the Solve the equation equation by doing by doing the the oppositeopposite 6 x = 6 x =

72007200 6 66 6x = x = 1,2001,200

72 is 6% of 72 is 6% of 1,2001,200

Write a Write a sentence as sentence as an answeran answer

Percent Percent proportionproportion8 is what percent of 8 is what percent of

40?40?isisofof

%%100100

==88

4040xx

100100==88

4040xx

Use cross Use cross product product to solve to solve the the proportioproportionn40 x = 8 40 x = 8

100100

Solve the Solve the equation equation by doing by doing the the oppositeopposite 40 x = 40 x =

800800 40 40 4040x = x = 2020

8 is 20% of 8 is 20% of 4040

Write a Write a sentence as sentence as an answeran answer

Practice Percent Practice Percent proportionproportion50 is 20% of what 50 is 20% of what numbernumber

isisofof

%%100100

==5050

xx2020

What number is What number is 45% of 18045% of 180

isisofof

%%100100

==xx

1801804545

20 x = 50 20 x = 50 100100 20 x = 20 x = 50005000 20 2020 20

x = 250x = 250

100 x = 45 100 x = 45 180180100 x = 100 x = 81008100100 100 100100x = x =

8181

You try!

Practice Percent Practice Percent proportionproportionWhat percent of 90 is What percent of 90 is 36?36?

isisofof

%%100100

==3636

9090xx

What percent of What percent of 185 is 35185 is 35

isisofof

%%100100

==3535

185185xx

90 x = 36 90 x = 36 100100 90 x = 90 x = 36003600 90 90 9090x = x =

4040

185 x = 35 185 x = 35 100100185 x = 185 x = 35003500185 185 185185x = x =

18.918.9

Percent Percent proportionproportionMateo answer 20 question out of 25 in his Mateo answer 20 question out of 25 in his Math test. What percent of the test does he Math test. What percent of the test does he answer correctly?answer correctly?

isisofof

%%100100

==2020

2525xx

100100==2020

2525xx

Use cross Use cross product product to solve to solve the the proportioproportionn25 x =20 25 x =20

100100

Solve the Solve the equation equation by doing by doing the the oppositeopposite 25 x = 25 x =

20002000 25 25 2525x = x = 8080

He answered He answered 80% of the 80% of the

test test correctly.correctly.

Write a Write a sentence as sentence as an answeran answer

Percent Percent proportionproportionThere are 300 students in 7There are 300 students in 7thth grade, 30% grade, 30% are in Mr. Montoya’s class. How many are in Mr. Montoya’s class. How many students are in his class?students are in his class?

isisofof

%%100100

==xx300300

3030100100

==xx

3003003030

Use cross Use cross product product to solve to solve the the proportioproportionn100x =30 100x =30

300300

Solve the Solve the equation equation by doing by doing the the oppositeopposite100 x = 100 x =

90009000 100 100 100100x = x = 9090

He has 90 He has 90 students in students in his class.his class.

Write a Write a sentence as sentence as an answeran answer

Percent Percent proportionproportionA serving of ice cream contains 240 calories. A serving of ice cream contains 240 calories. 144 calories comes from fat. What percent 144 calories comes from fat. What percent of the total calories comes from fat ?of the total calories comes from fat ?

isis

ofof%%

100100==144144

240240xx

100100==144144

240240xx

Use cross Use cross product product to solve to solve the the proportioproportionn240x =144 240x =144

100100

Solve the Solve the equation equation by doing by doing the the oppositeopposite 240 x = 240 x =

1440014400 240 240 240240x = x = 6060

60% of the 60% of the calories calories

comes from comes from fat.fat.

Write a Write a sentence as sentence as an answeran answer

Percent Percent proportionproportionMrs. Finnegan has a large container of olive oil. Mrs. Finnegan has a large container of olive oil. She has used 2 quarts of oil, seventy-five percent She has used 2 quarts of oil, seventy-five percent of the olive oil remains. How many quarts of oil of the olive oil remains. How many quarts of oil remains ?remains ?

isisofof

%%100100

==22xx

2525100100

==22

xx2525

Use cross Use cross product product to solve to solve the the proportioproportionn 25x =2 25x =2

100100

Solve the Solve the equation equation by doing by doing the the oppositeopposite 25 x = 20025 x = 200

25 2525 25x = x = 88

She has 8 She has 8 more quarts more quarts of olive oil.of olive oil.

Write a Write a sentence as sentence as an answeran answer