Question

What number is $27\%$ of 52?

Answer 1

Hint: To obtain what number is $27\%$ of 52 we will use percentage definition. Firstly we will start by removing the percentage sign from 27 and divide it by 100. Then we will simplify the fraction obtained by dividing its numerator and denominator by the same number till we get a pair of co-prime numbers. Finally we will multiply the fraction obtained after simplification with 52 and solve it to get the desired
answer.

Complete step-by-step solution:
To obtain $27\%$ of 52 we will convert it in fraction by dividing it by 100 and removing the percent sign as follows:
$27\%=\dfrac{27}{100}$
We can’t simplify the above value further because we already have co-prime numbers from numerator and denominator.
So we will multiply 52 by the above value as,
$\begin{align}
  & \Rightarrow \dfrac{27}{100}\times 52 \\
 & \Rightarrow \dfrac{27}{25}\times 13 \\
 & \Rightarrow \dfrac{351}{25} \\
 & \Rightarrow 14.04 \\
\end{align}$
Hence $27\%$ of 52 is $14.04$.

Note: Percentage is defined as a number or ratio that is expressed as a fraction of 100. It is a dimensionless number as it doesn’t have any unit of measurement. The percentage can be increased or decreased in the quantity given depending upon what is stated. It has a very big role in solving our day to day problem which depends on the amount of increase in anything. It can never be negative There is another way to solve the above question by using the formula:
$P\%$ Of Number $=X$
Where $X$ is the answer
So we can write:
$27\%$ of $52=X$
On Removing percentage sign and divide 27 by 100 we get,
$\begin{align}
  & \Rightarrow \dfrac{27}{100}\times 52=X \\
 & \Rightarrow \dfrac{27}{25}\times 13=X \\
 & \Rightarrow \dfrac{351}{25}=X \\
 & \therefore X=14.04 \\
\end{align}$
So we get $X=14.04$ which is the desired answer.