Question

20% of $120$ is what number?

Answer 1

Hint: The percentage is the ratio of expressed in fraction of $100$ . The percentage is used to find the percentage of the amount valued in total terms. We will solve this question using the formula.
FORMULA:
The formula for percentage $Percentage = \dfrac{{value}}{{total value}} \times 100$

Complete step by step answer:

We need to find out the $20\% $ of $120$ .
The formula for percentage $Percentage = \dfrac{{value}}{{total value}} \times 100$
Hence, the formula is converted to $\dfrac{{value = Percentage \times total value}}{{100}}$
But here we need to find the value because percentage and total value are given.
Total value, $total value = 120$
Percentage, $percentage = 20$
By substituting the value of total value and percentage we can calculate the value.
Calculate $20 \times \dfrac{1}{{100}} \times 120$ to find the value.
Let us assume P be the value, hence $P = 20 \times \dfrac{1}{{100}} \times 120$ .
$P = \dfrac{{2400}}{{100}}$
$P = 24$
The value of $20\% $ of $120$ is $24$ .

Note:
The value of % is $\dfrac{1}{{100}}$ not $100$ . Students should note one thing that while calculating the percentage unit of numerator and denominator should always be the same and if units are not the same then need to convert one of them to make both the same.