Question

$96.25 is what percent of $87.50 

Answer 1

Did you mean $87.50 is what percent of $96.25? (If not the answer is 110%)

$96.25 is more than $87.50 so it wouldn't divide properly. (see explanation)

Explanation:

The Solution for 87.50 is what percent of 96.25:

Step 1: We make the assumption that 96.25 is 100% since it is our output value.

Step 2: We next represent the value we seek with x.

Step 3: From step 1, it follows that $100%= $96.25

Step 4: In the same vein, $x%=$87.50.

Step 5: This gives us a pair of simple equations:

100%=96.25(1)

x%=87.50(2)

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

`(100\%)/(x\%)=(96.25)/(87.50)`

Step 7: Taking the inverse (or reciprocal) of both sides yields

`(x\%)/(100\%)=(87.50)/(96.25)`

`\Rightarrow x=90.909090909091\%`

Therefore, $87.50$ is $90.909090909091\%$ of $96.25$.

Rounded answer: 90.91%

(Hope this helps!