569.09 is what percent of 5572.09 - 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 5572.09 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 5572.09, so we can write it down as 100%=5572.09.
4. We know, that x% equals 569.09 of the output value, so we can write it down as x%=569.09.
5. Now we have two simple equations:
1) 100%=5572.09
2) x%=569.09
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%=5572.09/569.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 569.09 is what percent of 5572.09

100%/x%=5572.09/569.09
(100/x)*x=(5572.09/569.09)*x       - we multiply both sides of the equation by x
100=9.7912281010034*x       - we divide both sides of the equation by (9.7912281010034) to get x
100/9.7912281010034=x
10.213223404504=x
x=10.213223404504

now we have:
569.09 is 10.213223404504% of 5572.09