Question

What percent of $150$ is $96?$

Answer 1

Hint: Given is a number 150, and some percent of this number is 96. So we will consider the percent to be x. Then it will be the statement like x% of 150 is 96. Then we will find the value of this x.

Complete step by step solution:
Let the percent be x%.
so the “of” operator means product. Thus this can be written as,
\[x\% \times 150 = 96\]
Now x% can be written in fraction form as,
\[ \Rightarrow \dfrac{x}{{100}} \times 150 = 96\]
Dividing the numbers on LHS by 50,
\[ \Rightarrow \dfrac{x}{2} \times 3 = 96\]
Now we will take all the numbers on one side and the x on other side,
\[ \Rightarrow x = \dfrac{{96 \times 2}}{3}\]
Now dividing the number by 3 we get,
\[ \Rightarrow x = 32 \times 2\]
On multiplying we get,
\[ \Rightarrow x = 64\]
Thus this is the percentage. That is 96 is 64% of 150.

Note:
Note that we are finding the percentage so we wrote the number as x% and then as a fraction with denominator 100. Sometimes the number is given and asked to find a particular percentage of it. For that also we will use the same way only the considered thing is the number to be obtained.