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.
Writing a percent as a ratio Write the percent over 100 Example: Write 15% as a ratio. 15 100
What is a proportion? A proportion is 2 equal ratios
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.”
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 =
Example: What is 55% of 60?
Find the percent of a number by converting to a decimal. 1. Write the percent as a decimal. 2. Multiply
Example: What is 35% of 16? 35% converted to a decimal is .35 Multiply .35 x 16 35% of 16 is 5.6