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# 2.00 percent of 175?

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### Solution for 'What is 2.00% of 175?'

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 2.00 percent of 175. What are the steps?

Step 1: first determine the value of the whole amount. We assume that the whole amount is 175.

Step 2: determine the percentage, which is 2.00.

Step 3: Convert the percentage 2.00% to its decimal form by dividing 2.00 into 100 to get the decimal number 0.02:

2.00100 = 0.02

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

2.0 → 0.20 → 0.02

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

0.02 x 175 = 3.5 (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 = 175 × 2.00100 = 175 × 0.02 = 3.5 (answer)

Therefore, the answer is 3.5 is 2.00 percent of 175.