134.82 is what percent of 120.56 - 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 120.56 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 120.56, so we can write it down as 100%=120.56.
4. We know, that x% equals 134.82 of the output value, so we can write it down as x%=134.82.
5. Now we have two simple equations:
1) 100%=120.56
2) x%=134.82
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%=120.56/134.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 134.82 is what percent of 120.56

100%/x%=120.56/134.82
(100/x)*x=(120.56/134.82)*x       - we multiply both sides of the equation by x
100=0.89422934282747*x       - we divide both sides of the equation by (0.89422934282747) to get x
100/0.89422934282747=x
111.82813536828=x
x=111.82813536828

now we have:
134.82 is 111.82813536828% of 120.56