88.65 is what percent of 702.45 - 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 702.45 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 702.45, so we can write it down as 100%=702.45.
4. We know, that x% equals 88.65 of the output value, so we can write it down as x%=88.65.
5. Now we have two simple equations:
1) 100%=702.45
2) x%=88.65
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%=702.45/88.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 88.65 is what percent of 702.45

100%/x%=702.45/88.65
(100/x)*x=(702.45/88.65)*x       - we multiply both sides of the equation by x
100=7.9238578680203*x       - we divide both sides of the equation by (7.9238578680203) to get x
100/7.9238578680203=x
12.620115310698=x
x=12.620115310698

now we have:
88.65 is 12.620115310698% of 702.45