563.91 is what percent of 100 - 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 100 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 100, so we can write it down as 100%=100.
4. We know, that x% equals 563.91 of the output value, so we can write it down as x%=563.91.
5. Now we have two simple equations:
1) 100%=100
2) x%=563.91
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%=100/563.91
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 563.91 is what percent of 100

100%/x%=100/563.91
(100/x)*x=(100/563.91)*x       - we multiply both sides of the equation by x
100=0.17733326240003*x       - we divide both sides of the equation by (0.17733326240003) to get x
100/0.17733326240003=x
563.91=x
x=563.91

now we have:
563.91 is 563.91% of 100