Percents with Equations

• Remember that “of” means multiply in mathematics.

of = x

Key Concepts:One Equation can help you solve each type of problem

part

= Percent

• WholePlug in the “pieces of

data” the problem gives you

Your unknown becomes your variable

Percents and Equations

Key Concepts:

part

= Percent

• Whole

What percent of 80 is 25?

25

= p • 8025 =

80p 25 80

80p 80

= 31.25% = p

Percents and Equations

Key Concepts:

part

= Percent

• Whole

30% of what number is 120?

120

= .30

• w120 = .30w 120

.30 .30w .30

= 400 = w

Percents and Equations

Key Concepts:

part

= Percent

• Whole

What is 85% of 150?

p

= .85

• 150

p = 127.5

Percents and Equations

Practice:

part

= Percent

• Whole

The length of the Appalachian Trail is 2174 miles. 25% of the length is in the state of Virginia. How many miles are in Virginia?

p

= .25

• 2174

p = 543.5 miles are in Virginia

Percents and Equations

Practice:

part

= Percent

• Whole

There are currently 130,000 nurses in the state of Florida. Of those nurses, 34,000 are new. What is the percentage of new nurses?

34,000

= p • 130,000

34,000 = 130,000p

34000130000

130000p 130000

= 26.15% = p

Percents and Equations

Practice:

part

= Percent

• Whole

15 is 2.5% of what number?

15

= .025

• w15 = .025w 15

.025 .025w .025

= 600 = w

Percents and Equations

Practice:

part

= Percent

• Whole

What is 52% of 260?

p

= .52

• 260

p = 135.2

Percents and Equations

Practice:

part

= Percent

• Whole

What percent of 280 is 157?

157

= p • 280

157 = 280p 157

280 280p 280

= 56.07% = p

Percents and Equations

Finding Percent (Part) of a Whole:Method Two: Write an EquationFind 15% of 56

Change percent to decimal

and“of” to multiplication

.15 x 56

Multiply= 8.4.15 x 56

Percents and Equations

Finding Percent (Part) of a Whole:Method Two: Write an EquationFind 32% of 75

Change percent to decimal

and“of” to multiplication

.32 x 75

Multiply= 24.32 x 75

Percents and Equations

Practice:

part

= Percent

• Whole

60 is 48% of what number?

60

= .48

• w60 = .48w 60

.48 .48w .48

= 125 = w

Percents and Equations

Practice:

part

= Percent

• Whole

24 is 65% of what number?

24

= .65

• w24 = .65w 24

.65 .65w .65

= 36.92 = w

Percents and Equations

Practice:

part

= Percent

• Whole

42 is what percent of 60?

42

= p • 6042 =

60p 42 60

60p 60

= 70% = p

Percents and Equations

Practice:

part

= Percent

• Whole

110 is what percent of 200?

110

= p • 200

110 = 200p 110

200 200p 200

= 55% = p

Percents and Equations

I know this is a lot of information

but I have faith in each and every

one of you that with practice

you will have this mastered

in no time!

Percents and Equations