# What is 500 out of 1200 as a percentage?

## Percentage Calculator

## 500 is what percent of 1200?

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 1200.

(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 × 5001200

X% = 500001200

X% = 41.67 (answer)

So, the answer is 500 is 41.67 percent of 1200

## What is 500 out of 1200 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 = 5001200

X = 5001200 = 0.4167

Thus, the answer is 500 is 0.4167 out of 1200 as a decimal.