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Finding a Percent of a Number

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1 Finding a Percent of a Number
MCC6.RP.3c – Find a percent of a quantity as a rate per 100; solve problems involving finding the whole, given a part and the percent.

2 Writing a percent as a ratio
Write the percent over 100 Example: Write 15% as a ratio. 15 100

3 What is a proportion? A proportion is 2 equal ratios

4 Using a Proportion to Find the Percent of a Number
Set up a proportion that uses the percent over 100. Cross multiply to write an equation. Solve the equation. To set up your proportion, think, “IS over OF equals PERCENT over 100.”

5 Example – What is 20% of 30? x 20 = 30 100 100x = 30(20) 100x = 600
part = 30 100 whole 100x = 30(20) 100x = 600 100 100 x 6 =

6 Example: What is 55% of 60?

7 Find the percent of a number by converting to a decimal.
1. Write the percent as a decimal. 2. Multiply

8 Example: What is 35% of 16? 35% converted to a decimal is .35
Multiply .35 x 16 35% of 16 is 5.6


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