102.5 is what percent of 315 - 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 315 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 315, so we can write it down as 100%=315.
4. We know, that x% equals 102.5 of the output value, so we can write it down as x%=102.5.
5. Now we have two simple equations:
1) 100%=315
2) x%=102.5
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%=315/102.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 102.5 is what percent of 315

100%/x%=315/102.5
(100/x)*x=(315/102.5)*x       - we multiply both sides of the equation by x
100=3.0731707317073*x       - we divide both sides of the equation by (3.0731707317073) to get x
100/3.0731707317073=x
32.539682539683=x
x=32.539682539683

now we have:
102.5 is 32.539682539683% of 315