Question

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

Answer 1

Hint: We know that we use the identity $\dfrac{x}{y}\times 100$ where $x$ is the amount we choose and $y$ is the total amount to find the percentage of the amount we choose. So, we just need to transpose the terms accordingly to find the $65\%$ of $80.$

Complete step by step solution:
We are asked to find the $65\%$ of $80.$
We know that the percentage of a number implies that the number is considered in terms of hundred.
When we need to calculate the percentage of a number out of another number, we should multiply the former with hundred and divide the product with the latter.
We can write it Mathematically as $percentage=\dfrac{number}{total}\times 100.$
So, when we are given with the percentage of a number out of another number which is also given, we just need to transpose the numbers so that the known values lie on the same side. This will lead us to the unknown value. So, in this case, we will get the $65\%$ of $80.$
So, the above equation will become $\dfrac{percentage\times total}{100}=number.$
Let us substitute the given values in the above equation.
We will get $\dfrac{65\times 80}{100}=number.$
Let us cancel zero to get $\dfrac{65\times 8}{10}.$
Now, we will cancel $2$ from the numerator and the denominator. We will get $\dfrac{65\times 4}{5}.$
Let us cancel $5$ from the numerator and the denominator to get $13\times 4.$
Now we will get $52.$
Hence, we have found that the $65\%$ of $80$ is $52.$

Note: Since percentage is measured in terms of hundred, we can write $65\%$ as the fraction $\dfrac{65}{100}.$ So, whenever we need to find $x%$ of a number, we just need to multiply that number with $\dfrac{x}{100}.$