# SSAT Middle Level Math : How to find the whole from the part with percentage

## Example Questions

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### Example Question #2 : How To Work With Percentages

Exactly  of the plants in a garden are tomato plants.  Which of the following could be the total number of plants in the garden?

Explanation:

The total number of plants has to be divisible by 3.  Of the answer choices, the only one that is divisible by 3 is 18.  You can check this because numbers that are divisible have the sum of their digits also divisible by 3. For example,

which is divisible by 3, so 18 is divisible by 3.

### Example Question #1161 : Hspt Mathematics

330 is 75% of what number?

Explanation:

330 is 75% of a number we will call ; alternatively, 0.75 multiplied by  is equal to 330. Set up this equation and solve for :

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

88 is  % of what number?

Explanation:

We can rewrite  % as 12.5%. 88 is 12.5% of a number , or, equivalently, 0.125 multiplied by a number  is equal to 88. We can write this as an equation and solve for :

### Example Question #3 : How To Find The Whole From The Part With Percentage

32 is  % of what number?

Explanation:

We can rewrite  % as 2.5%. 32 is 2.5% of a number , or, equivalently, 0.025 multiplied by a number  is equal to 32. We can write this as an equation and solve for :

### Example Question #1 : How To Work With Percentages

To get on the ballot for student body president, a student must turn in a petition with the signatures of 3% of the students. If there are 5,319 students, how many signatures must a student get to be on that ballot? (Nearest whole person)

Explanation:

3% of 5,319 can be calculated by multiplying 5,319 by 0.03, the decimal equivalent of 3%:

Multiply 5,319 by 3, then move the decimal point so that two digits are to the right:

,

so

Rounded to the nearest whole number, this is 160 signatures.

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

3,200 is 160% of what number?

Explanation:

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

### Example Question #5 : How To Find The Whole From The Part With Percentage

12 is  of what number?

Explanation:

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

### Example Question #6 : 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 #1 : How To Find The Whole From The Part With 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 #2 : How To Find The Whole From The Part With Percentage

of what number is ?