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What is 166.5 percent of 370?

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Solution for 'What is 166.5% of 370?'

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 166.5 percent of 370. What are the steps?

Step 1: First determine the value of the whole amount. We assume that the whole amount is 370.

Step 2: Determine the percentage, which is 166.5.

Step 3: Convert the percentage 166.5% to its decimal form by dividing 166.5 by 100 to get the decimal number 1.665:

166.5100 = 1.665

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

166.5 → 16.65 → 1.67

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

1.665 x 370 = 616.05 (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 = 370 × 166.5100 = 370 × 1.665 = 616.05 (answer)

Therefore, the answer is 616.05 is that 166.5 percent of 370.

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