# What is 17 out of 75 as a percentage?

## Percentage Calculator

## 17 is what percent of 75?

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 75.

(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 × 1775

X% = 170075

X% = 22.67 (answer)

So, the answer is 17 is 22.67 percent of 75

## What is 17 out of 75 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 = 1775

X = 1775 = 0.2267

Thus, the answer is 17 is 0.2267 out of 75 as a decimal.