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# What is 12 out of 200 as a percentage?

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

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## 12 is what percent of 200?

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 200.

(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 × 12200

X% = 1200200

X% = 6.00 (answer)

So, the answer is 12 is 6.00 percent of 200

## What is 12 out of 200 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 = 12200

X = 12200 = 0.0600

Thus, the answer is 12 is 0.0600 out of 200 as a decimal.