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'P' out of 'W' as a percentage

What is out of as a percentage?
Answer: %

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What is 'X' percent of 'W'

What is % of

'P' is 'X' percent of What?

is % of what?

Ten is what percent of one hundred

In the following example consider that:

The following question is of the type "P is what percent of W,” where W is the whole amount and P is the portion amount". That is, this problem is of the type "calculating the percentage from a whole knowing the part".

Solution Steps

Here is the solution work:

Step 1: first determine the value of the whole amount. We assume that it is 100.

(notice that this corresponds to 100%).

Step 2: Remember that we are looking for the percentage 'percentage'.

To solve this question, use the following formula:

X% = 100 × PW

This formula says that:

"To find the percentage from the whole, knowing the part, divide the part by the whole then multiply the result by 100".

Step 3: replacing the values into the formula, we get:

X% = 100 × 10100

X% = 1000100

X% = 10.00 (answer)

So, the answer is 10 is 10.00 percent of 100

What is ten out of one hundred as a decimal?

To solve this question, use the following formula:

X = PW

"To find 'P' out of 'W', just divide the part by the whole.". So,

X = 10100

X = 10100 = 0.1000

Thus, the answer is 10 is 0.1000 out of 100 as a decimal.

Sample percentage problems

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