55.13 is what percent of 82 - 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 82 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 82, so we can write it down as 100%=82.
4. We know, that x% equals 55.13 of the output value, so we can write it down as x%=55.13.
5. Now we have two simple equations:
1) 100%=82
2) x%=55.13
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%=82/55.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.13 is what percent of 82

100%/x%=82/55.13
(100/x)*x=(82/55.13)*x       - we multiply both sides of the equation by x
100=1.4873934337022*x       - we divide both sides of the equation by (1.4873934337022) to get x
100/1.4873934337022=x
67.231707317073=x
x=67.231707317073

now we have:
55.13 is 67.231707317073% of 82