Question: I’m trying to calculate what percentage is 16 out of 20. 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 16 out of 20 in percentage, and how you calculate it.
What is 16/20 in percentage?
Answer: 16 is 80% out of 20.
We have two methods to figure it out, with steps for easy understanding.
Method 1: Long division with remainder
Calculate \( 16:20 \)
- 20 enters into 16,
0 times, remainder 16Result (ongoing) = 0.
Multiply the remainder by 10 to get 160. Now calculate 160 : 20 - 20 enters into 160,
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: 16 out of 20 equals 80%.
Method 2: Using fractions
Calculate \( P(\text{%}) = \frac{ 16 }{ 20 } \times 100 \)
We need to get the fraction to be of the type \( \frac{ P }{ 100 } \times 100 \)
In our case we need \( \frac { 16 \times x }{ 20 \times x } \times 100 \)
That means \( 20 \times x = 100 \)
\( x = \frac{100}{ 20 } = 5 \)
Our fraction is now \( \frac { 16 \times 5 }{ 20 \times 5 } \times 100 \)
We know that the denominator \( 20 \times 5 = 100 \) so we construct the fraction again.
\( P = \frac { 16 \times 5 }{100} \times 100 \)
\(= 16 \times 5 \)Since \( 16 \times 5 = 80 \), we have our result
\( P = 80 \).
Solution: 16 out of 20 equals 80%.
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