# What is 37.5 percent of 40?

## Percentage Calculator

### Solution for 'What is 37.5% of 40?'

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 37.5 percent of 40. What are the steps?

**Step 1**: First determine the value of the whole amount. We assume that the whole amount is 40.

**Step 2**: Determine the percentage, which is 37.5.

**Step 3**: Convert the percentage 37.5% to its decimal form by dividing 37.5 by 100 to get the decimal number 0.375:

37.5100 = 0.375

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

37.5 → 3.75 → 0.38

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

0.375 x 40 = 15 (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 = 40 × 37.5100 = 40 × 0.375 = 15 (answer)

Therefore, the answer is 15 is that 37.5 percent of 40.