**Question**: I’m trying to calculate what percentage is 34 out of 40. 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 34 out of 40 in percentage, and how you calculate it.

## What is 34/40 in percentage?

**Answer**: 34 is 85% out of 40.

We have two methods to figure out what is 34/40 in percent, with steps for easy understanding.

### Method 1: Long division with remainder

Calculate \( 34:40 \)

- 40 enters into 34,
`0 times`

, remainder 34`Result (ongoing) =`

**0.**

Multiply the remainder by 10 to get 340. Now calculate 340 : 40 - 40 enters into 340,
`8 times`

, remainder 20`Result (ongoing) =`

**0.8**

Multiply the remainder by 10 to get 200. Now calculate 200 : 40 - 40 enters into 200,
`5 times`

, remainder 0

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

**0.85**

Now you multiply the reults by 100 \( (0.85 \times 100 = 85 ) \) and you get 85%.

**Solution**: 34 out of 40 equals 85%.

### Method 2: Using fractions

Calculate \( P(\text{%}) = \frac{ 34 }{ 40 } \times 100 \)

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

In our case we need \( \frac { 34 \times x }{ 40 \times x } \times 100 \)

That means \( 40 \times x = 100 \)

\( x = \frac{100}{ 40 } = 2.5 \)

Our fraction is now \( \frac { 34 \times 2.5 }{ 40 \times 2.5 } \times 100 \)

We know that the denominator \( 40 \times 2.5 = 100 \) so we construct the fraction again.

\( P = \frac { 34 \times 2.5 }{100} \times 100 \)

\(= 34 \times 2.5 \)Since \( 34 \times 2.5 = 85 \), we have our result

\( P = 85 \).

**Solution**: 34 out of 40 equals 85%.

**Calculate other numbers**