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 $$16:20$$

1. 20 enters into 16, 0 times, remainder 16
Result (ongoing) = 0.
Multiply the remainder by 10 to get 160. Now calculate 160 : 20
2. 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 $$P(\text{%}) = \frac{ 16 }{ 20 } \times 100$$

1. We need to get the fraction to be of the type $$\frac{ P }{ 100 } \times 100$$

2. In our case we need $$\frac { 16 \times x }{ 20 \times x } \times 100$$

That means $$20 \times x = 100$$

$$x = \frac{100}{ 20 } = 5$$

3. Our fraction is now $$\frac { 16 \times 5 }{ 20 \times 5 } \times 100$$

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

$$P = \frac { 16 \times 5 }{100} \times 100$$
$$= 16 \times 5$$

5. Since $$16 \times 5 = 80$$, we have our result
$$P = 80$$.

Solution: 16 out of 20 equals 80%.

Calculate other numbers