# Algebra 1 : How to find the whole from the part with percentage

## Example Questions

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### Example Question #21 : How To Find The Whole From The Part With Percentage

What number of  is nine?

Explanation:

Let the number be .

Some number of ten percent means some number multiplied by ten percent.

A percentage is a number out of 100 parts.

Set up the equation.

Reduce the fraction and simplify the left side.

Multiply both sides by ten to eliminate the fraction.

Simplify both sides.

### Example Question #22 : How To Find The Whole From The Part With Percentage

What number of twenty percent is 40?

Explanation:

Write an equation to express the percentage and the part to find the whole.

A percentage is a number out of 100 parts.  The  is the whole that we will need to find.

Reduce the fraction.

Multiply by five on both sides.

Simplify the left and right sides.

### Example Question #23 : How To Find The Whole From The Part With Percentage

What number of twelve percent is four?

Explanation:

Set up an equation to represent this scenario.

Let the number be .

A percentage is some number out of 100 parts.

Multiply both sides by .

Simplify both sides.

### Example Question #24 : How To Find The Whole From The Part With Percentage

What number of five percent is ten?

Explanation:

Set up the equation so that some number multiplied with five percent is equal to ten.

The percentage can be rewritten as a fraction.

Simplify the fraction.

Multiply by the denominator on both sides to eliminate the fraction.

Simplify both sides.

### Example Question #25 : How To Find The Whole From The Part With Percentage

What number of forty percent is six?

Explanation:

Write an equation such that some number times 40 parts of 100 is equal to six.

Reduce the fraction.

To isolate the x-variable, multiply both sides by the reciprocal of the fraction.

Simplify both sides.

### Example Question #26 : How To Find The Whole From The Part With Percentage

In a classroom survey, 18 kids reported having brown hair. The teacher calculated that the 18 with brown hair make up 60% of her class. How many total students are in the class?

Explanation:

Set up an equation representing the information you are given to start (18 out of an unknown total equals 60% or 60 out of 100).

Manipulate the equation to get X by itself.

There are 30 total students in the class.

### Example Question #27 : How To Find The Whole From The Part With Percentage

Nine is fifty percent of what number?