Question

What percent of 17.5 is 12?

Answer 1

Hint: Given is a number 17.5, and some percent of this number is 12. So we will consider the percent to be x. then it will be the statement like x% of 17.5 is 12. 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,
\[\dfrac{x}{{100}} \times 17.5 = 12\]
Now we will take all the numbers on one side and the x on other side,
\[x = \dfrac{{12 \times 100}}{{17.5}}\]
We will multiply the numerator and denominator by 10 to remove the decimal,
\[x = \dfrac{{12 \times 100 \times 10}}{{17.5 \times 10}}\]
On multiplying we get,
\[x = \dfrac{{12 \times 1000}}{{175}}\]
On dividing by 25,
\[x = \dfrac{{12 \times 40}}{7}\]
On multiplying we get,
\[x = \dfrac{{480}}{7}\]
On dividing, we get,
\[x = 68.57\% \]
This is the answer that 12 is \[68.57\% \] of 17.5
So, the correct answer is “\[68.57\% \]”.

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.