Question

What is \[37.5\% \] of \[648\]?

Answer 1

Hint: Here, formulas for calculating percentages will be used. Also, basic arithmetic operations like multiplication will be used.
In general mathematics whenever we are given expressions in percentage then it signifies that the given number’s proportion is that number itself. For example, in this question we are given \[37.5\% \] then this means we are given \[\dfrac{{37.5}}{{100}}\]. So, let’s first discuss the concept of percentage.

Complete step-by-step answer:
Percentage: Percentage in mathematics is a ratio that represents fraction of \[100\]. For example, x% means x fraction of \[100\]. If we are given statements like there is a certain number y which is y% of some other number say z then, we may write it mathematically as, \[\dfrac{{\text{y}}}{{100}} \times {\text{z}}\].
Now, we will use this concept for solving the given question.

Consider the expression, \[37.5\% \] of \[648\], first we will write \[37.5\% \] mathematically, \[\dfrac{{37.5}}{{100}}\].
Calculation of the above expression is given as,
\[
=\dfrac{{37.5}}{{100}} \times 648 \\
= \dfrac{{37.5 \times 648}}{{100}} \\
= \dfrac{{24300}}{{100}} \\
= 243
 \]

Hence, from the above calculation we obtain the value of expression \[37.5\% \] of \[648\] is equal to \[243\].

Note: In such types of problems, we must try to apply percentage formulas directly instead of solving it by some other methods. Whenever we find an expression in which “of “is written then it is very clear that we will use arithmetic multiplication as, in the given question also we were given a similar expression so we used multiplication. It is important to convert the given percentage value into simplified mathematical value for obtaining its solution. As explained earlier also, x% means x fraction of \[100\] i.e. \[\dfrac{{\text{x}}}{{100}}\].