Three Types of Percent Problems
Feb 06, 2016
Three Types of Percent Problems
Percents are "parts of a whole".The part is the numerator and the whole is the denominator.
17% means 17 parts per 100 or
We are going to solve problems involving percents.There are 3 types of problems:
1. Find the part: What number is 54% of 34?
2. Find the whole: 4 is 60% of what number?
3. Find the percent: 18 is what percent of 28?
Two words that will occur in these types of problems are "is" and "of".
These words have specific meanings in math.
"Is" means equals (=)"Of" means multiply
To solve a percent problem, translate the words into an equation by
1. Percent into a decimal2. "is" to "="3. "of" to " "4. Unknown to "x"
Then, solve the equation.
Percent of Whole is Part.Percent x Whole = Part
Finding the Part...
Examples:
40% of 60
20% of 90
Finding the Whole...
100 is 20% of what number?
40% of what number is 50?
Examples:
56 is 70% of what?
Finding the Percent...
What percent of 80 is 24?
Examples
60 is what percent of 15?
You have just studied three different types of percent problems.
Try all 3 types:
24 is 40% of what number?
42 is what percent of 840?
What is 30% of 45?
Find the largest value.
A What is 50% of 50?
B What number is 45% of 60?
C 30 is 60% of what number?
D 25% of what number is 150?
Find the greatest percentage value.
A What percent of 30 is 18?
B 60 is what percent of 90?
C What percent of 70 is 210?
D 1,000 is what percent of 100?
Find 20% of 78.
8 is what percent of 28?
What number is 3% of 17?
Find 27% of 54.
23 is what percent of 200?
What percent is 35 of 20?
56% of what number is 40?
45 is 30% of what number?
62% of 40 is what number?
A 24.8
B .0155
C 24.8%
D 15.5