Three Types of Percent Problems

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