 PercentageCalculator .pro Discount Percentage Fraction to % Decimal to %

# 11 percent of 110?

## 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 11% of 110?'

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 11 percent of 110. What are the steps?

Step 1: first determine the value of the whole amount. We assume that the whole amount is 110.

Step 2: determine the percentage, which is 11.

Step 3: Convert the percentage 11% to its decimal form by dividing 11 into 100 to get the decimal number 0.11:

11100 = 0.11

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

11.0 → 1.10 → 0.11

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

0.11 x 110 = 12.1 (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 = 110 × 11100 = 110 × 0.11 = 12.1 (answer)

Therefore, the answer is 12.1 is 11 percent of 110.