570.59 is what percent of 1008.8 - 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 1008.8 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 1008.8, so we can write it down as 100%=1008.8.
4. We know, that x% equals 570.59 of the output value, so we can write it down as x%=570.59.
5. Now we have two simple equations:
1) 100%=1008.8
2) x%=570.59
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%=1008.8/570.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 570.59 is what percent of 1008.8

100%/x%=1008.8/570.59
(100/x)*x=(1008.8/570.59)*x       - we multiply both sides of the equation by x
100=1.7679945319757*x       - we divide both sides of the equation by (1.7679945319757) to get x
100/1.7679945319757=x
56.561260904044=x
x=56.561260904044

now we have:
570.59 is 56.561260904044% of 1008.8