102.5 is what percent of 128 - 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 128 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 128, so we can write it down as 100%=128.
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%=128
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%=128/102.5
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 128

100%/x%=128/102.5
(100/x)*x=(128/102.5)*x       - we multiply both sides of the equation by x
100=1.2487804878049*x       - we divide both sides of the equation by (1.2487804878049) to get x
100/1.2487804878049=x
80.078125=x
x=80.078125

now we have:
102.5 is 80.078125% of 128