# 40 percent of 170?

## Percentage Calculator

### Solution for 'What is 40% of 170?'

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 40 percent of 170. What are the steps?

Step 1: first determine the value of the whole amount. We assume that the whole amount is 170.

Step 2: determine the percentage, which is 40.

Step 3: Convert the percentage 40% to its decimal form by dividing 40 into 100 to get the decimal number 0.4:

40100 = 0.4

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

40.0 → 4.00 → 0.40

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

0.4 x 170 = 68 (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 = 170 × 40100 = 170 × 0.4 = 68 (answer)

Therefore, the answer is 68 is 40 percent of 170.