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# 17.5 percent of 160?

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### Solution for 'What is 17.5% of 160?'

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 17.5 percent of 160. What are the steps?

Step 1: first determine the value of the whole amount. We assume that the whole amount is 160.

Step 2: determine the percentage, which is 17.5.

Step 3: Convert the percentage 17.5% to its decimal form by dividing 17.5 into 100 to get the decimal number 0.175:

17.5100 = 0.175

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

17.5 → 1.75 → 0.18

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

0.175 x 160 = 28 (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 = 160 × 17.5100 = 160 × 0.175 = 28 (answer)

Therefore, the answer is 28 is 17.5 percent of 160.