Percent Equations

Percent Equation

Part = Whole x Percent (decimal)​

PERCENT EQUATIONS

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​Part = Whole x Percent in Decimal Form

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  The part is equal to the percent multiplied by the whole, when the percent is in fraction or decimal form.

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Convert

Percents to Decimals

Multiple Choice

Convert the percent, 64%, to a decimal.

• 6.4

• 0.64

• 64

• 6400

Multiple Choice

Convert the percent, 16.4%, to a decimal.

• 16.4

• 1.64

• 0.164

• 1640

Multiple Choice

Make the percent to decimal.
7%

• .007
• 0.07
• 7
• 70

Multiple Choice

To change the percent into a decimal you must...

• Move the decimal to the left two spaces
• Move the decimal to the right two spaces
• Keep the decimal where it is
• Multiply the number by 10

CONVERT

​Decimal to a percent

​0.02 = 2%

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0.234 = 23.4%​

Multiple Choice

Change 0.67 to a percent

• 67%
• 0.0067%

• 0.67%

• 670%

Multiple Choice

Change 0.384 to a percent

• 384%
• 38.4%
• 0.00348%

• 3.84%

Multiple Choice

Change to a percent:
0.6

• 6%
• 600%
• 6000%
• 60%

Multiple Choice

When converting decimals to percents, move the decimal:

• Two places to the left.
• Two places to the right.
• Two places up.
• Two places down.

SOLVING FOR THE PART

​part = whole x % dec

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​45% of 40 is what?

Percent (x) = 45% = 0.45

part = unknown

w = 40

p = 40 x 0.45​

p = 18​

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Multiple Choice

Determine if you are finding the part, percent, or whole.

What is 5% of 60?

• Part

• Percent

• Whole

Multiple Choice

Substitute the values into the equation. What is 5% of 60?

$$p=whole\ \cdot\ \%$$  

• p = 5 * 60

• 5 = % * 60

• p = 0.05 * 60

• 60 = 0.05 * w

Multiple Choice

Solve. What is 5% of 60?

• 300

• 3

• .03

• .3

Multiple Choice

$$p=whole\ \cdot\ \%$$  

What is 20% of 80?

• 1600

• 16

• 160

• 1.6

Multiple Choice

Which equation would help you solve:

If you tip the server 15%, and your bill was $46, how much money should you leave?

• 15 × 46

• 0.15 × 46

• 0.85 × 46

• 1.15 × 46

Multiple Choice

Solve:

If you tip the server 15%, and your bill was $46, how much money should you leave?

• $9.60

• $6.90

• $39.10

• $52.90

SOLVING FOR THE WHOLE

​part = whole x % dec

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​30% of what is 12?

Percent (x) = 30% = 0.3

part = 12

w = unknown

12 = w x 0.3

12 ÷​ 0.3 = 40

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Multiple Choice

Determine if you are finding the part, percent, or whole.

15 is 40% of what number?

• Part

• Percent

• Whole

Multiple Choice

Substitute into the equation. 15 is 40% of what number?

• $$15=40w$$  

• $$40=\%\cdot50$$  

• $$40=15w$$  

• $$15=0.4w$$  

Multiple Choice

Which equation shows the correct way to solve for w:

$$15=0.4w$$  

• $$\frac{15}{40}=w$$  

• $$15\div0.4=w$$  

• $$15\cdot0.4=w$$  

• $$\frac{0.4}{15}=w$$  

Multiple Choice

Solve:

$$15\div0.4=w$$  

• 37.5

• 6

• 60

• 3.75

Multiple Choice

56 is 35% of what number?

• 70

• 160

• 62.5

• 16

SOLVING FOR THE PERCENT

​part = whole x % dec

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​What percent of 70 is 14?

Percent (x) = unknown

part = 14

w = 70

14 = 70 ⋅ x​

14 ÷​ 70 = 0.2

0.2 is 20%​

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Multiple Choice

In the question,
"35 is what percent of 40?"
am I looking for the part, percent or whole?

• Part
• Whole
• Percent

Multiple Choice

Substitute the values into the percent equation  :

35 is what percent of 40? 

• $$35=0.4x$$

• $$40=0.35x$$  

• $$35=40x$$  

• $$40=35x$$  

Multiple Choice

Which equation shows how to solve  $$35=40x$$  ?

• $$\frac{35}{40}=x$$  

• $$x=\frac{40}{35}$$  

• $$40\cdot0.35=x$$  

• $$35\cdot0.4=x$$  

Multiple Choice

Solve  $$35=40x$$  ?

• 0.875%

• 87.5%

• 8.75%

• 875%

Multiple Choice

What percent of 152 is 95?

• 32.5%

• 144.4%

• 62.5%

• 55%