Question

What percent of 80 is 88?

Answer 1

Hint: In this question, we need to find what percent of 80 is 88. Suppose this percent is x. As 88 is greater than 80, the value of x is going to be greater. Now, use the method of cross multiplication and you will get the value of x in terms of %.

Complete step-by-step answer:
In this question, we are given two numbers 80 and 88. We need to find what percent of 80 is 88.
In mathematics, percentage is defined as the rate/number/amount in each 100. For example, if we write 50%, then it means 50 parts of something in 100 parts.
Let us suppose that x percent of 80 is 88.
Now, here 88 is greater than 80 so the value of x is going to be greater than 100.
To find the value of x we simply need to do cross multiplication.
 $
  80 = 100\% \\
  88 = x\% \;
  $
Therefore,
 $ \Rightarrow x\% \times 80 = 88 \times 100\% $
Make x the subject of the equation, we get
 $
   \Rightarrow x = \dfrac{{88 \times 100}}{{80}} \\
   \Rightarrow x = 110 \;
  $
Hence, 110% of 80 is 88.
So, the correct answer is “ 110%”.

Note: Percentage is a dimensionless number and it has no unit of measurement. The value of percentage is always less than 100 but in our question, 88 is greater than 80 so our answer is greater than 100. We can cross check our answer by converting 110% into fraction and then multiplying it with 80.
So, 110% of 80 $ = \dfrac{{110}}{{100}} \times 80 = 11 \times 8 = 88 $ .
Hence, our answer is correct.