Question

What number is $45\mathrm{\%}$ of 90?

Answer 1

Hint: Here in this question we have been asked to find the value of $45\mathrm{\%}$ out of 90. From the basic concepts we know that percent means quantity per 100. We can write the following mathematical expression from the given question $\Rightarrow {\displaystyle \frac{45}{100}}\times 90$ and simplify it further using simple basic arithmetic operations like multiplication and division for deriving the conclusion.

Complete step by step solution:
Now considering the question we have been asked to find the value of $45\mathrm{\%}$ out of 90.
From the basic concepts we know that percent means quantity per 100.
Now as we have been asked to find the value of $45\mathrm{\%}$ out of 90 we can write it mathematically as $\Rightarrow {\displaystyle \frac{45}{100}}\times 90$ .
Now by further simplifying this expression using simple basic arithmetic operations like multiplication and division we will have
 $\begin{array}{rl}& \Rightarrow {\displaystyle \frac{45}{100}}\times 90={\displaystyle \frac{45}{20}}\times 18\\ & \Rightarrow {\displaystyle \frac{9}{4}}\times 18=40.5\end{array}$ .
Here we can say that if 90 are divided into 100 equal parts then the sum of 45 equal and individual parts will be $40.5$ .
Therefore we can conclude that the value of $45\mathrm{\%}$ out of 90 is given as $40.5$ .

Note: During the process of answering questions of this type we should be sure with the concepts that we are going to apply in between the steps. While answering questions of this type we should perform the calculations in between the process very carefully. Someone can make a calculation mistake unintentionally and consider it as
$\begin{array}{rl}& \Rightarrow {\displaystyle \frac{45}{100}}\times 90={\displaystyle \frac{45}{10}}\times 9\\ & \Rightarrow {\displaystyle \frac{9}{2}}\times 10=45\end{array}$
which will lead them to end up having a wrong conclusion.