 PercentageCalculator .pro Discount Percentage Fraction to % Decimal to %

# 2.5 percent of 20?

## 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 2.5% of 20?'

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 2.5 percent of 20. What are the steps?

Step 1: first determine the value of the whole amount. We assume that the whole amount is 20.

Step 2: determine the percentage, which is 2.5.

Step 3: Convert the percentage 2.5% to its decimal form by dividing 2.5 into 100 to get the decimal number 0.025:

2.5100 = 0.025

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

2.5 → 0.25 → 0.03

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

0.025 x 20 = 0.5 (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 = 20 × 2.5100 = 20 × 0.025 = 0.5 (answer)

Therefore, the answer is 0.5 is 2.5 percent of 20.