Question

What number is $80\%$ of $65$?

Answer 1

Hint: In this problem we need to calculate the number which is $80\%$ of $65$. For this we need to multiply the given percentage with the given number. Here we will replace the percentage symbol $\left( \% \right)$ with $\dfrac{1}{100}$ . After that we will write each number in factorization form such that there is a possibility to cancel the common factors. After cancelling all the possible and common factors of the numbers which are involved in the equation, we will simplify the equation by performing some basic mathematical operation.

Complete step-by-step answer:
Given that $80\%$ of $65$.
To find the value which $80\%$ of $65$. We are going to multiply the given percentage that means $80\%$ with given number which is $65$, then we will get
$80\%\text{ of }65=80\%\times 65$
Replacing the percentage symbol $\left( \% \right)$ with $\dfrac{1}{100}$ in the above equation, then we will have
$80\%\text{ of }65=80\times \dfrac{1}{100}\times 65$
Writing the numbers $80$, $100$ as $8\times 10$, $10\times 10$ respectively in the above equation, then we will get
$80\%\text{ of }65=8\times 10\times \dfrac{1}{10\times 10}\times 65$
Cancelling the term $10$ which is in both numerator and denominator, then the above equation is modified as
$80\%\text{ of }65=8\times \dfrac{1}{10}\times 65$
Writing the numbers $10$, $65$ as $2\times 5$, $5\times 13$ in the above equation, then we will have
$80\%\text{ of }65=8\times \dfrac{1}{2\times 5}\times 5\times 13$
Cancelling the term $5$ which is in both numerator and denominator, then the above equation is modified as
$80\%\text{ of }65=8\times \dfrac{1}{2}\times 13$
We have the value $8\times \dfrac{1}{2}$ as $4$. Substituting this value in the above equation, then we will get
$80\%\text{ of }65=4\times 13$
We know that the value of $4\times 13$ is $52$. From this value we can write the above equation as
$80\%\text{ of }65=52$

Hence the value which is $80\%$ of $65$ is $52$.

Note: For this type of problems, we don’t need any super calculations. But we need to have a better idea about the factors of the numbers which are involved in the equation. Based on our convenience we can write the number as we want.