561.58 is what percent of 6288.97 - 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 6288.97 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 6288.97, so we can write it down as 100%=6288.97.
4. We know, that x% equals 561.58 of the output value, so we can write it down as x%=561.58.
5. Now we have two simple equations:
1) 100%=6288.97
2) x%=561.58
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%=6288.97/561.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 561.58 is what percent of 6288.97

100%/x%=6288.97/561.58
(100/x)*x=(6288.97/561.58)*x       - we multiply both sides of the equation by x
100=11.198707218918*x       - we divide both sides of the equation by (11.198707218918) to get x
100/11.198707218918=x
8.9296021447073=x
x=8.9296021447073

now we have:
561.58 is 8.9296021447073% of 6288.97