9.3 is what percent of 87.25 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 87.25 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 87.25, so we can write it down as 100%=87.25.
4. We know, that x% equals 9.3 of the output value, so we can write it down as x%=9.3.
5. Now we have two simple equations:
1) 100%=87.25
2) x%=9.3
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=87.25/9.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.3 is what percent of 87.25

100%/x%=87.25/9.3
(100/x)*x=(87.25/9.3)*x       - we multiply both sides of the equation by x
100=9.3817204301075*x       - we divide both sides of the equation by (9.3817204301075) to get x
100/9.3817204301075=x
10.659025787966=x
x=10.659025787966

now we have:
9.3 is 10.659025787966% of 87.25