# PSAT Math : How to find the whole from the part with percentage

## Example Questions

### Example Question #1 : Whole And Part

David's trip expenses are pictured in the above pie chart (numbers = % of his total expenses). If he spent $75 on taxis, how much did he spend on hotel and souvenirs combined? Possible Answers:$175

$200$225

$250$40

$200 Explanation: David spent$75 on taxis, which were 15% of his total expenses on the trip. He therefore spent 75(100/15) = $500 on the trip altogether. The hotel and souvenirs make up 35% + 5% = 40% of his total expenses. 40% of 500 is$200.

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

30% of what number is 20?

Solve to the nearest hundredth.

0.67

150%

66.67

1.5

66.67

Explanation:

This is a very basic form percentage question. This can be rewritten:

0.3 * x = 20

(Remember, the word "of" in a word problem indicates multiplication, while the word "is" indicates an equals sign).

Solve for x: x = 20 / 0.3 = 66.67