Question

40% of $75$ is what number?

Answer 1

Hint: To solve this we need to use the formula to find a particular percentage of some number. On substituting the data, we have in the formula we will find the required number.
Formula: Formula that we need to know:
$X\% $ of $Y$ can be written as $\dfrac{X}{{100}} \times Y$

Complete step by step answer:
We aim to find forty percent of seventy-five.
A percentage is nothing but the number or a ratio which is a fraction of a hundred. That is, for example, $45\% $ can be written as $\dfrac{{45}}{{100}}$ . The word “of” in the question represents the operation multiplication. That is for example, $45\% $ of $80$ can be written as $\dfrac{{45}}{{100}} \times 80$ on simplifying this we will get the required answer.
Here we aim to find the $40\% $ of $75$ as seen in the above example. Let us write the given question in the expanded form.
$40\% $ of $75$ $ \Rightarrow \dfrac{{40}}{{100}} \times 75$
Now let us simplify the above-expanded form. Simplifying the term $\dfrac{{40}}{{100}}$ by canceling them in ten tables we get
$ \Rightarrow \dfrac{4}{{10}} \times 75$
Now let us simplify the numbers ten and seventy-five using five tables we get
$ \Rightarrow \dfrac{4}{2} \times 15$
Now again simplifying the fraction $\dfrac{4}{2}$ using two tables we get
$ \Rightarrow 2 \times 15$
On further simplification we get
$ \Rightarrow 30$
Thus, we got the $40\% $ of $75$ equals $30$.

Note:
The percentage is used to represent the small part in the whole part. Unit should be the same for both numerator and denominator in percentage. There is no dimension for percentage so it is also called dimensionless numbers.