Question

How do you find 5% of $32.68$?

Answer 1

Hint: In this question we are asked to find the percentage of a number, to find the percentage of a number we use the percentage of a number formula which is given by, $\dfrac{p}{{100}} \times {\text{number}} = x$.
Now substituting the values in the formula we will get the required result.

Complete step-by-step answer:
The percentage is defined as how much of one quantity is made by another quantity and it is evaluated in terms of 100. A percentage is a number that is represented as a fraction of 100.
Percentage of a number is given by formula,
P% of a number=$x$,
Where $x$ is the required percentage, if the percentage sign is removed, then the above formula is expressed as,
$\dfrac{p}{{100}} \times {\text{number}} = x$
Given we have to find 5% of $32.68$,
Now using the percentage formula, here we have to find $x$, so,
$p = 5$, and number=$32.68$, by substituting the values in the formula we get,
$ \Rightarrow x = \dfrac{5}{{100}} \times 32.68$,
Now multiplying numerator with the number we get,
$ \Rightarrow x = \dfrac{{5 \times 32.68}}{{100}}$,
Now simplifying we get,
$ \Rightarrow x = \dfrac{{163.4}}{{100}}$,
Now applying the division operation,
$ \Rightarrow x = 1.634$,
So, the required number is 1.634.

$\therefore $The 5% of the number $32.68$ is $1.634$.

Note:
The percentage is the result when a specific number is multiplied by a percent. Most of the time, percentages are smaller than the number since a percentage is a portion of a number or quantity. But there are cases where the percentage is greater than the number. This would happen if the percent is greater than 100% i.e., a percentage is a certain percent of a number, and most of the time, the quantity is followed by the phrase "percent of" which is represented as “%”.