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# What is 8 out of 224 as a percentage?

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### 'P' out of 'W' as a percentage

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## 8 is what percent of 224?

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

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 224.

(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 × 8224

X% = 800224

So, the answer is 8 is 3.57 percent of 224

## What is 8 out of 224 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 = 8224

X = 8224 = 0.0357

Thus, the answer is 8 is 0.0357 out of 224 as a decimal.