Question

What is 75 percent of 216?

Answer 1

Hint:To solve this type of question first we assume a number as a variable and then do the calculation for that number. In this case, we assume a number whose percentage is 75. So we directly find the percent of that number and equate that equal to the given percent. Then rearrange the formed equation and do some calculations in order to find the value of that variable.


Complete step by step answer:
We have to find a number whose percentage is 75.
So let us assume that number as a variable.
\[x\] Be the number whose percentage is 75.
Now we find the percent of \[x\].
\[{\text{percent = }}\dfrac{{\text{x}}}{{{\text{total number}}}} \times 100\]
Here percent and total number is given.
Percent is 75 and the total number is 216.
On putting these values.
\[75{\text{ }} = {\text{ }}\dfrac{x}{{216}} \times 100\]
On rearranging the given equation.
\[{\text{ }}\dfrac{x}{{216}} \times 100 = 75\]
Now taking all the constant parts on one side of the equal sign.
\[x = 75 \times \dfrac{{216}}{{100}}\]
Now first canceling the factor 25 from numerator and denominator.
\[x = 3 \times \dfrac{{216}}{4}\]
Now canceling the factor of 4 from numerator and denominator.
\[x = 3 \times 54\]
Now on multiplying both the numbers we get the answer.
\[x = 162\]
\[75\% \] of 216 is 162.

Note: We can solve this question by the unitary method and can easily get the required percentage of that number. If we have to ask for a higher percent (greater than 100) then also we apply the same method. First, find one percent and then multiply one percent to the obtained percent to obtain the answer which is asked in the question.