Question

What number is $70\%$ of $45$?

Answer 1

Hint: In the above question, we have been given a number $45$, and we need to calculate the number which is equal to the $70\%$ of the given number. For this, firstly we need to write the given percentage $70\%$ in the form of a decimal number. For this, we need to replace the percentage $\%$ symbol by the fraction $\dfrac{1}{100}$ so that the given percentage would become equal to $\dfrac{70}{100}$. Then on dividing the numerator by the denominator, we will get the decimal number form of the given number. To obtain the required number, we have to finally multiply the obtained decimal number by the given number $45$.

Complete step by step solution:
The number given in the above question is equal to $45$. According to the question, we need to calculate the number which is equal to the $70\%$ of the given number. For this, we first have to write the given percentage in the form of a decimal number. For this, we know that the percentage symbol $\%$ is equivalent to the fraction $\dfrac{1}{100}$, so that we can write the given percentage as
$\begin{align}
  & \Rightarrow 70\times \dfrac{1}{100} \\
 & \Rightarrow \dfrac{70}{100} \\
 & \Rightarrow 0.7 \\
\end{align}$
Thus, the given percentage $70\%$ is equal to the decimal number $0.7$.
Now, we have to multiply the given number $45$ by the decimal number equivalent to the given percentage to obtain the required number as
$\begin{align}
  & \Rightarrow 0.7\times 45 \\
 & \Rightarrow 31.5 \\
\end{align}$

Hence, the number equal to $70\%$ of $45$ is equal to $31.5$.

Note: The multiplication of the decimal number equivalent to the given percentage is indicated by the term “of” used in the above question which refers to the operation of the multiplication. We can also multiply $70$ by the given number first and then divide it by $100$ to obtain the final answer.