135.55 is what percent of 180.86 - 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 180.86 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 180.86, so we can write it down as 100%=180.86.
4. We know, that x% equals 135.55 of the output value, so we can write it down as x%=135.55.
5. Now we have two simple equations:
1) 100%=180.86
2) x%=135.55
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%=180.86/135.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 135.55 is what percent of 180.86

100%/x%=180.86/135.55
(100/x)*x=(180.86/135.55)*x       - we multiply both sides of the equation by x
100=1.3342677978606*x       - we divide both sides of the equation by (1.3342677978606) to get x
100/1.3342677978606=x
74.947473183678=x
x=74.947473183678

now we have:
135.55 is 74.947473183678% of 180.86