Question: I’m trying to calculate what percentage is 23 out of 25. 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 23 out of 25 in percentage, and how you calculate it.
What is 23/25 in percentage?
Answer: 23 is 92% out of 25.
We have two methods to figure out what is 23/25 in percent, with steps for easy understanding.
Method 1: Long division with remainder
Calculate \( 23:25 \)
- 25 enters into 23,
0 times, remainder 23Result (ongoing) = 0.
Multiply the remainder by 10 to get 230. Now calculate 230 : 25 - 25 enters into 230,
9 times, remainder 5Result (ongoing) = 0.9
Multiply the remainder by 10 to get 50. Now calculate 50 : 25 - 25 enters into 50,
2 times, remainder 0
Remainder = 0, means you're done.Result (final) = 0.92
Now you multiply the reults by 100 \( (0.92 \times 100 = 92 ) \) and you get 92%.
Solution: 23 out of 25 equals 92%.
Method 2: Using fractions
Calculate \( P(\text{%}) = \frac{ 23 }{ 25 } \times 100 \)
We need to get the fraction to be of the type \( \frac{ P }{ 100 } \times 100 \)
In our case we need \( \frac { 23 \times x }{ 25 \times x } \times 100 \)
That means \( 25 \times x = 100 \)
\( x = \frac{100}{ 25 } = 4 \)
Our fraction is now \( \frac { 23 \times 4 }{ 25 \times 4 } \times 100 \)
We know that the denominator \( 25 \times 4 = 100 \) so we construct the fraction again.
\( P = \frac { 23 \times 4 }{100} \times 100 \)
\(= 23 \times 4 \)Since \( 23 \times 4 = 92 \), we have our result
\( P = 92 \).
Solution: 23 out of 25 equals 92%.
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