# 15 percent of 46?

## Percentage Calculator

### Solution for 'What is 15% of 46?'

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 15 percent of 46. What are the steps?

Step 1: first determine the value of the whole amount. We assume that the whole amount is 46.

Step 2: determine the percentage, which is 15.

Step 3: Convert the percentage 15% to its decimal form by dividing 15 into 100 to get the decimal number 0.15:

15100 = 0.15

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

15.0 → 1.50 → 0.15

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

0.15 x 46 = 6.9 (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 = 46 × 15100 = 46 × 0.15 = 6.9 (answer)

Therefore, the answer is 6.9 is 15 percent of 46.