 PercentageCalculator .pro Discount Percentage Fraction to % Decimal to %

# 7.25 percent of 40?

## Percentage Calculator

What is % of

### 'P' out of 'W' as a percentage

What is out of as a percentage?

is % of what?

### Solution for 'What is 7.25% 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 7.25 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 7.25.

Step 3: Convert the percentage 7.25% to its decimal form by dividing 7.25 into 100 to get the decimal number 0.0725:

7.25100 = 0.0725

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

7.3 → 0.73 → 0.07

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

0.0725 x 40 = 2.9 (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 × 7.25100 = 40 × 0.0725 = 2.9 (answer)

Therefore, the answer is 2.9 is 7.25 percent of 40.