# 30 percent of 75?

## Percentage Calculator

### Solution for 'What is 30% of 75?'

In the following example consider that:

- The percentage figure is represented by X%
- The whole amount is represented by W
- The portion amount or part is represented by P

#### Solution Steps

The following question is of the type "How much X percent of W", where W is the whole amount and X is the percentage figure or rate".

Let's say that you need to find 30 percent of 75. What are the steps?

Step 1: first determine the value of the whole amount. We assume that the whole amount is 75.

Step 2: determine the percentage, which is 30.

Step 3: Convert the percentage 30% to its decimal form by dividing 30 into 100 to get the decimal number 0.3:

30100 = 0.3

Notice that dividing into 100 is the same as moving the decimal point two places to the left.

30.0 → 3.00 → 0.30

Step 4: Finally, find the portion by multiplying the decimal form, found in the previous step, by the whole amount:

0.3 x 75 = 22.5 (answer).

The steps above are expressed by the formula:

P = W × X%100

This formula says that:

*"To find the portion or the part from the whole amount, multiply the whole by the percentage, then divide the result by 100"*.

The symbol % means the percentage expressed in a fraction or multiple of one hundred.

Replacing these values in the formula, we get:

P = 75 × 30100 = 75 × 0.3 = 22.5 (answer)

Therefore, the answer is 22.5 is 30 percent of 75.