56.36 is what percent of 82.95 - 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 82.95 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 82.95, so we can write it down as 100%=82.95.
4. We know, that x% equals 56.36 of the output value, so we can write it down as x%=56.36.
5. Now we have two simple equations:
1) 100%=82.95
2) x%=56.36
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%=82.95/56.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 56.36 is what percent of 82.95

100%/x%=82.95/56.36
(100/x)*x=(82.95/56.36)*x       - we multiply both sides of the equation by x
100=1.471788502484*x       - we divide both sides of the equation by (1.471788502484) to get x
100/1.471788502484=x
67.94454490657=x
x=67.94454490657

now we have:
56.36 is 67.94454490657% of 82.95