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 34Result (ongoing) = 0.
Multiply the remainder by 10 to get 340. Now calculate 340 : 40 - 40 enters into 340,
8 times, remainder 20Result (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%.
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