# SSAT Middle Level Math : Percentage

## Example Questions

### Example Question #41 : Percentages

12 is  of what number?

Explanation:

Set up the proportion statement and solve for  by cross-multiplying:

### Example Question #1 : How To Find The Whole From The Part With Percentage

If 40 percent of a number is 44, what is 60 percent of the same number?

Explanation:

To determine what 60 percent of the number is, one must first determine what the number is. To find the number, set up a proportion relating the original percentage and the value of the percentage where the top number is the fractional value and the bottom number is the total.

Use cross multiplication to solve for the number.

•

Once the number is found, the new percentage can be found. There are two ways to do this: multiplication or a proportion.

• Multiplication:
• Proportion:

This means that 60 percent of the number is 66.

### Example Question #31 : Percentage

is  of what number?

Explanation:

is  of a number we will call ; alternatively,  multiplied by  is equal to . Set up this equation and solve for :

### Example Question #1 : How To Find The Whole From The Part With Percentage

of what number is ?

Explanation:

Taking  of a number is the same as multiplying that number by . We can find our number, therefore, by dividing  by :

### Example Question #2031 : Ssat Middle Level Quantitative (Math)

Refer to the above diagram. If there were  voters who were registered as neither Republicans nor Democrats in Smith County in , how many voters (nearest whole number) were there total?

Explanation:

of the voters were unaffiliated, and  were affiliated with other parties, so  of the voters were registered as neither Republicans nor Democrats. Since  of the voters numbered , we can find the total number of voters by setting up and solving a proportion:

which rounds to  voters.

### Example Question #1372 : Numbers And Operations

25% of fish are blue (50 fish). 50% of fish are green (100 fish). The remaining fish are red. How many fish are red?

Explanation:

First, we need to determine the percentage of fish that are red. So add the percentages of blue and green fish and then subtract this number from 100. So,

and

If you notice that the problem already states how many fish constitute 25 percent, you don’t need to do any more work! Therefore, 50 fish are red.

### Example Question #11 : How To Find The Whole From The Part With Percentage

0.45 is 24% of what number?

Explanation:

The answer multiplied by 24%, or, equivalently, 0.24, is 0.45. Subsequently, divide 0.45 by 0.24.

### Example Question #61 : Hspt Mathematics

A store normally sells a certain coat for $40. For the holidays it offers a sale where the new price of the coat is now$30.  What percent discount is the store selling the coat for?

discount

discount

discount

discount

discount

discount

Explanation:

The coat is \$10 cheaper than normal.

### Example Question #1 : How To Find Percentage

Write 132% as a fraction in simplest form.

Explanation:

Write as a fraction over 100, and simplify:

### Example Question #1371 : Numbers And Operations

Write  as a percent.

%

%

%

%

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