1. Percent Proportion
Algebra

2. Objective
Today you will use the percent proportion to solve problems. Today you will apply the percent proportion to real-world problems.

3. In a percent proportion, one ratio compares part of a quantity to the whole quantity. The other ratio is equivalent percent written as a fraction with a denominator of 100.
part
whole
Percent
100 = is of
“Is over of”

4. Find the Percent
Twelve is what percent of 32? Words: twelve is what percent of 32? is 12 = p of CROSS MULTIPLY!! 12 x 100 = 32p 1200 = 32p p = 37.5 So, 12 is 37.5% of 32

5.  YOUR TURN!  Set up a proportion and show your work!
Fifteen is what percent of 20?
75%
What percent of 5 is 12?
240%

6. Find the Part What number is 15.5% of 450? x = 15.5 100
You know your % = 15.5
You know your of = 450
You know 100 always = 100
You WANT to know your is = x
x =
100
450(15.5) = 100x
6,975 = 100x
69.75 = x is 15.5% of 450

7.  YOUR TURN!  What number is 11.4% of 330? 37.62 b) Find 15.3% of 425
65.025

8. Find the Whole
Seventy-eight is 60% of what number? is = 78 60% of = ? 78 = 60 x (100) = 60x 7800 = 60x 130 = x So, 78 is 60% of 130

9.  YOUR TURN!  Thirty percent of what number is 63? 210
b) Forty-five is 3% of what number?
1500

10. Concept Summary
Find the percent (%) Find the Part (is) Find the Whole (of)
is = p of
is = p of
is = p of