**Question**: I’m trying to calculate what percentage is 13 out of 20. How do I do that?

**MathBlog**: A percent tells us how many parts out of 100 something is. To write a percent as a fraction, just remove the percent symbol and write the number over 100 as the denominator. Below we explain what is 13 out of 20 in percentage, and how you calculate it.

## What is 13/20 in percentage?

**Answer**: 13 is 65% out of 20.

We have two methods to figure out what is 13/20 in percent, with steps for easy understanding.

### Method 1: Long division with remainder

Calculate \( 13:20 \)

- 20 enters into 13,
`0 times`

, remainder 13`Result (ongoing) =`

**0.**

Multiply the remainder by 10 to get 130. Now calculate 130 : 20 - 20 enters into 130,
`6 times`

, remainder 10`Result (ongoing) =`

**0.6**

Multiply the remainder by 10 to get 100. Now calculate 100 : 20 - 20 enters into 100,
`5 times`

, remainder 0

Remainder = 0, means you're done.`Result (final) =`

**0.65**

Now you multiply the reults by 100 \( (0.65 \times 100 = 65 ) \) and you get 65%.

**Solution**: 13 out of 20 equals 65%.

### Method 2: Using fractions

Calculate \( P(\text{%}) = \frac{ 13 }{ 20 } \times 100 \)

We need to get the fraction to be of the type \( \frac{ P }{ 100 } \times 100 \)

In our case we need \( \frac { 13 \times x }{ 20 \times x } \times 100 \)

That means \( 20 \times x = 100 \)

\( x = \frac{100}{ 20 } = 5 \)

Our fraction is now \( \frac { 13 \times 5 }{ 20 \times 5 } \times 100 \)

We know that the denominator \( 20 \times 5 = 100 \) so we construct the fraction again.

\( P = \frac { 13 \times 5 }{100} \times 100 \)

\(= 13 \times 5 \)Since \( 13 \times 5 = 65 \), we have our result

\( P = 65 \).

**Solution**: 13 out of 20 equals 65%.

**Calculate other numbers**