Question: I’m trying to calculate what percentage is 15 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 15 out of 20 in percentage, and how you calculate it.

## What is 15/20 in percentage?

Answer: 15 is 75% out of 20.

We have two methods to figure out what is 15/20 in percent, with steps for easy understanding.

### Method 1: Long division with remainder

Calculate $$15:20$$

1. 20 enters into 15, 0 times, remainder 15
Result (ongoing) = 0.
Multiply the remainder by 10 to get 150. Now calculate 150 : 20
2. 20 enters into 150, 7 times, remainder 10
Result (ongoing) = 0.7
Multiply the remainder by 10 to get 100. Now calculate 100 : 20
3. 20 enters into 100, 5 times, remainder 0
Remainder = 0, means you're done.
Result (final) = 0.75

Now you multiply the reults by 100 $$(0.75 \times 100 = 75 )$$ and you get 75%.

Solution: 15 out of 20 equals 75%.

### Method 2: Using fractions

Calculate $$P(\text{%}) = \frac{ 15 }{ 20 } \times 100$$

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

2. In our case we need $$\frac { 15 \times x }{ 20 \times x } \times 100$$

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

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

3. Our fraction is now $$\frac { 15 \times 5 }{ 20 \times 5 } \times 100$$

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

$$P = \frac { 15 \times 5 }{100} \times 100$$
$$= 15 \times 5$$

5. Since $$15 \times 5 = 75$$, we have our result
$$P = 75$$.

Solution: 15 out of 20 equals 75%.

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