27 is what percent of 36?
Understand the Problem
The question is asking to determine what percentage 27 represents of 36. This involves dividing 27 by 36 and then multiplying the result by 100 to express it as a percentage.
Answer
$75\%$
Answer for screen readers
$75%$
Steps to Solve
- Divide 27 by 36
To find what fraction of 36 is 27, we perform the division:
$27 \div 36 = \frac{27}{36}$
- Simplify the fraction
We can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 9:
$\frac{27}{36} = \frac{27 \div 9}{36 \div 9} = \frac{3}{4}$
- Convert the fraction to a decimal
To convert the fraction $\frac{3}{4}$ to a decimal, we divide 3 by 4:
$\frac{3}{4} = 0.75$
- Convert the decimal to a percentage
To convert the decimal 0.75 to a percentage, we multiply by 100:
$0.75 \times 100 = 75%$
$75%$
More Information
27 is 75% of 36. This means if you have 36 items and you take 27 of them, you've taken 75% of the total items.
Tips
A common mistake is to divide 36 by 27 instead of 27 by 36, which would give the incorrect percentage. Another mistake is not multiplying the decimal result by 100 to convert it to a percentage.
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