**Question**: I’m trying to calculate what percentage is 16 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 16 out of 20 in percentage, and how you calculate it.

## What is 16/20 in percentage?

**Answer**: 16 is 80% out of 20.

We have two methods to figure it out, with steps for easy understanding.

### Method 1: Long division with remainder

Calculate \( 16:20 \)

- 20 enters into 16,
`0 times`

, remainder 16`Result (ongoing) =`

**0.**

Multiply the remainder by 10 to get 160. Now calculate 160 : 20 - 20 enters into 160,
`8 times`

, remainder 0

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

**0.8**

Now you multiply the reults by 100 \( (0.8 \times 100 = 80 ) \) and you get 80%.

**Solution**: 16 out of 20 equals 80%.

### Method 2: Using fractions

Calculate \( P(\text{%}) = \frac{ 16 }{ 20 } \times 100 \)

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

In our case we need \( \frac { 16 \times x }{ 20 \times x } \times 100 \)

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

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

Our fraction is now \( \frac { 16 \times 5 }{ 20 \times 5 } \times 100 \)

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

\( P = \frac { 16 \times 5 }{100} \times 100 \)

\(= 16 \times 5 \)Since \( 16 \times 5 = 80 \), we have our result

\( P = 80 \).

**Solution**: 16 out of 20 equals 80%.

**Calculate other numbers**