Question: I’m trying to calculate what percentage is 3 out of 5. 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 3 out of 5 in percentage, and how you calculate it.
What is 3/5 in percentage?
Answer: 3 is 60% out of 5.
We have two methods to figure out what is 3/5 in percent, with steps for easy understanding.
Method 1: Long division with remainder
Calculate \( 3:5 \)
- 5 enters into 3,
0 times, remainder 3Result (ongoing) = 0.
Multiply the remainder by 10 to get 30. Now calculate 30 : 5 - 5 enters into 30,
6 times, remainder 0
Remainder = 0, means you're done.Result (final) = 0.6
Now you multiply the reults by 100 \( (0.6 \times 100 = 60 ) \) and you get 60%.
Solution: 3 out of 5 equals 60%.
Method 2: Using fractions
Calculate \( P(\text{%}) = \frac{ 3 }{ 5 } \times 100 \)
We need to get the fraction to be of the type \( \frac{ P }{ 100 } \times 100 \)
In our case we need \( \frac { 3 \times x }{ 5 \times x } \times 100 \)
That means \( 5 \times x = 100 \)
\( x = \frac{100}{ 5 } = 20 \)
Our fraction is now \( \frac { 3 \times 20 }{ 5 \times 20 } \times 100 \)
We know that the denominator \( 5 \times 20 = 100 \) so we construct the fraction again.
\( P = \frac { 3 \times 20 }{100} \times 100 \)
\(= 3 \times 20 \)Since \( 3 \times 20 = 60 \), we have our result
\( P = 60 \).
Solution: 3 out of 5 equals 60%.
Calculate other numbers