What is 20 out of 120 as a percentage?

Percentage Calculator

20 is what percent of 120?

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 120.

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 × 20120

X% = 2000120

X% = 16.67 (answer)

So, the answer is 20 is 16.67 percent of 120

What is 20 out of 120 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 = 20120

X = 20120 = 0.1667

Thus, the answer is 20 is 0.1667 out of 120 as a decimal.

Sample percentage problems

See also:

• What is 'X' percent of 'W' Calculator
• Discount or Percent-off Calculator