Question: I’m trying to calculate what percentage is 4 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 4 out of 5 in percentage, and how you calculate it.
What is 4/5 in percentage?
Answer: 4 is 80% out of 5.
We have two methods to figure it out, with steps for easy understanding.
Method 1: Long division with remainder
Calculate \( 4:5 \)
- 5 enters into 4,
0 times, remainder 4Result (ongoing) = 0.
Multiply the remainder by 10 to get 40. Now calculate 40 : 5 - 5 enters into 40,
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: 4 out of 5 equals 80%.
Method 2: Using fractions
Calculate \( P(\text{%}) = \frac{ 4 }{ 5 } \times 100 \)
We need to get the fraction to be of the type \( \frac{ P }{ 100 } \times 100 \)
In our case we need \( \frac { 4 \times x }{ 5 \times x } \times 100 \)
That means \( 5 \times x = 100 \)
\( x = \frac{100}{ 5 } = 20 \)
Our fraction is now \( \frac { 4 \times 20 }{ 5 \times 20 } \times 100 \)
We know that the denominator \( 5 \times 20 = 100 \) so we construct the fraction again.
\( P = \frac { 4 \times 20 }{100} \times 100 \)
\(= 4 \times 20 \)Since \( 4 \times 20 = 80 \), we have our result
\( P = 80 \).
Solution: 4 out of 5 equals 80%.
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