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What is 27.5 percent of 110?

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Solution for 'What is 27.5% of 110?'

In the following example, consider that:

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 27.5 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 27.5.

Step 3: Convert the percentage 27.5% to its decimal form by dividing 27.5 by 100 to get the decimal number 0.275:

27.5100 = 0.275

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

27.5 → 2.75 → 0.28

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

0.275 x 110 = 30.25 (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 = 110 × 27.5100 = 110 × 0.275 = 30.25 (answer)

Therefore, the answer is 30.25 is that 27.5 percent of 110.

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