Whole and Part

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Questions 1 - 10
1

What is seventy percent of seventy?

Explanation

Write the term seventy percent. This can be rewritten as a decimal by removing the percent sign sign and move the decimal place back two spaces.

Additionally, we can also choose to rewrite the seventy percent into a fraction out of 100 parts, which can be reduced to seven-tenths:

The word "of" means multiply.

Multiply with .

The answer is .

2

What is seventy percent of seventy?

Explanation

Write the term seventy percent. This can be rewritten as a decimal by removing the percent sign sign and move the decimal place back two spaces.

Additionally, we can also choose to rewrite the seventy percent into a fraction out of 100 parts, which can be reduced to seven-tenths:

The word "of" means multiply.

Multiply with .

The answer is .

3

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.

The answer is .

4

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.

The answer is .

5

What is 64% of 86?

Explanation

First, write 64% as a decimal. Just move the decimal point of 64% two digits to the left and then eliminate the % so that we get 0.64. Thus, 64%=0.64. Then multiply that 0.64 by 86

So 55 is 64% of 86.

6

What is 64% of 86?

Explanation

First, write 64% as a decimal. Just move the decimal point of 64% two digits to the left and then eliminate the % so that we get 0.64. Thus, 64%=0.64. Then multiply that 0.64 by 86

So 55 is 64% of 86.

7

Find the number that is sixty percent of forty.

Explanation

Write sixty percent of forty as an expression.

The percentage can be converted to a fraction by removing the percentage sign and divide by 100.

Rewrite the expression and simplify.

The answer is:

8

Choose the correct answer.

What is of .

Explanation

To find a part of the whole number, you multiply the percentage in decimal form against the whole number. The first step is to convert the percentage into a decimal, to . Then multiply the decimal against the whole number, .

9

As of the middle of August, Magnus had saved of his total travel budget. If Magnus has a goal of saving , how much does he have left to save?

Explanation

As of the middle of August, Magnus had saved of his total travel budget. If Magnus has a goal of saving , how much does he have left to save?

There are two ways to go about doing this, and both of them require you to look for what is actually being asked. The question asks you for how much he has left to save. This means that we are not looking for , we are looking for of the savings goal. So, the simpler way to solve this is to do the following:

Note, we also could have found of and then subtracted that from . Using this method would have yielded the exact same answer as the other method.

10

Find the number that is sixty percent of forty.

Explanation

Write sixty percent of forty as an expression.

The percentage can be converted to a fraction by removing the percentage sign and divide by 100.

Rewrite the expression and simplify.

The answer is:

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