560.52 is what percent of 1221.04 - 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 1221.04 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 1221.04, so we can write it down as 100%=1221.04.
4. We know, that x% equals 560.52 of the output value, so we can write it down as x%=560.52.
5. Now we have two simple equations:
1) 100%=1221.04
2) x%=560.52
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%=1221.04/560.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 560.52 is what percent of 1221.04

100%/x%=1221.04/560.52
(100/x)*x=(1221.04/560.52)*x       - we multiply both sides of the equation by x
100=2.1784057660744*x       - we divide both sides of the equation by (2.1784057660744) to get x
100/2.1784057660744=x
45.90513005307=x
x=45.90513005307

now we have:
560.52 is 45.90513005307% of 1221.04