Question

What is the percentage of 28 out of 40?

Answer 1

Hint: To find the percentage of 28 out of 40, we are going to divide 28 by 40. After writing the fraction form of 28 by 40 we are going to multiply the result of this division by 100 to get the answer in percentage. Now, solve this entity by dividing the numerator and the denominator by some numbers to get the final answer.

Complete step-by-step answer:
In the above problem, we are asked to find the percentage of 28 out of 40. For that to happen, we are going to divide 28 by 40 and write it in the fraction form. Don’t solve this fraction form. Dividing 28 by 40 we get,
${\displaystyle \frac{28}{40}}$
Multiplying the above fraction by 100 we get,
${\displaystyle \frac{28}{40}}\times 100$
Now, we are going to simplify the above expression. As you can see that one zero will be cancelled out from the numerator and the denominator and we get,
${\displaystyle \frac{28}{4}}\times 10$
We can further simplify the above expression by dividing the numerator and the denominator by 4. We know that 28 on division by 4 will give 7 and 4 on division by 4 will give 1. Using this division results in the above expression we get,
$7\times 10$
Multiplying 7 by 10 we get,
$=70$
Now, writing the percentage sign after 70 we get,
$70\mathrm{\%}$
Hence, we have found the percentage of 28 out of 40 as $70\mathrm{\%}$.

Note: In the calculation part of the above solution, when we were dividing 28 by 40 which was looking like this:
${\displaystyle \frac{28}{40}}$
You might be thinking why we have not divided it here only. The answer is not that we cannot divide, the reason is when we multiply 100 to the above expression then the calculation becomes easy.