32.8 is what percent of 107.1 - 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 107.1 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 107.1, so we can write it down as 100%=107.1.
4. We know, that x% equals 32.8 of the output value, so we can write it down as x%=32.8.
5. Now we have two simple equations:
1) 100%=107.1
2) x%=32.8
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%=107.1/32.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32.8 is what percent of 107.1

100%/x%=107.1/32.8
(100/x)*x=(107.1/32.8)*x       - we multiply both sides of the equation by x
100=3.265243902439*x       - we divide both sides of the equation by (3.265243902439) to get x
100/3.265243902439=x
30.62558356676=x
x=30.62558356676

now we have:
32.8 is 30.62558356676% of 107.1