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# What is 22.5 percent of 90?

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### Solution for 'What is 22.5% of 90?'

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 22.5 percent of 90. What are the steps?

Step 1: first determine the value of the whole amount. We assume that the whole amount is 90.

Step 2: determine the percentage, which is 22.5.

Step 3: Convert the percentage 22.5% to its decimal form by dividing 22.5 into 100 to get the decimal number 0.225:

22.5100 = 0.225

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

22.5 → 2.25 → 0.23

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

0.225 x 90 = 20.25 (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 = 90 × 22.5100 = 90 × 0.225 = 20.25 (answer)

Therefore, the answer is 20.25 is 22.5 percent of 90.