32.5 is what percent of 102.8 - 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 102.8 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 102.8, so we can write it down as 100%=102.8.
4. We know, that x% equals 32.5 of the output value, so we can write it down as x%=32.5.
5. Now we have two simple equations:
1) 100%=102.8
2) x%=32.5
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%=102.8/32.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32.5 is what percent of 102.8

100%/x%=102.8/32.5
(100/x)*x=(102.8/32.5)*x       - we multiply both sides of the equation by x
100=3.1630769230769*x       - we divide both sides of the equation by (3.1630769230769) to get x
100/3.1630769230769=x
31.614785992218=x
x=31.614785992218

now we have:
32.5 is 31.614785992218% of 102.8