561.5 is what percent of 7036.96 - 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 7036.96 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 7036.96, so we can write it down as 100%=7036.96.
4. We know, that x% equals 561.5 of the output value, so we can write it down as x%=561.5.
5. Now we have two simple equations:
1) 100%=7036.96
2) x%=561.5
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%=7036.96/561.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 561.5 is what percent of 7036.96

100%/x%=7036.96/561.5
(100/x)*x=(7036.96/561.5)*x       - we multiply both sides of the equation by x
100=12.532430988424*x       - we divide both sides of the equation by (12.532430988424) to get x
100/12.532430988424=x
7.9792978786294=x
x=7.9792978786294

now we have:
561.5 is 7.9792978786294% of 7036.96