563.06 is what percent of 1107.32 - 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 1107.32 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 1107.32, so we can write it down as 100%=1107.32.
4. We know, that x% equals 563.06 of the output value, so we can write it down as x%=563.06.
5. Now we have two simple equations:
1) 100%=1107.32
2) x%=563.06
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%=1107.32/563.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 563.06 is what percent of 1107.32

100%/x%=1107.32/563.06
(100/x)*x=(1107.32/563.06)*x       - we multiply both sides of the equation by x
100=1.9666110183639*x       - we divide both sides of the equation by (1.9666110183639) to get x
100/1.9666110183639=x
50.848896434635=x
x=50.848896434635

now we have:
563.06 is 50.848896434635% of 1107.32