55.35 is what percent of 81.37 - 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 81.37 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 81.37, so we can write it down as 100%=81.37.
4. We know, that x% equals 55.35 of the output value, so we can write it down as x%=55.35.
5. Now we have two simple equations:
1) 100%=81.37
2) x%=55.35
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%=81.37/55.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.35 is what percent of 81.37

100%/x%=81.37/55.35
(100/x)*x=(81.37/55.35)*x       - we multiply both sides of the equation by x
100=1.4700993676603*x       - we divide both sides of the equation by (1.4700993676603) to get x
100/1.4700993676603=x
68.022612756544=x
x=68.022612756544

now we have:
55.35 is 68.022612756544% of 81.37