568.51 is what percent of 3285.42 - 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 3285.42 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 3285.42, so we can write it down as 100%=3285.42.
4. We know, that x% equals 568.51 of the output value, so we can write it down as x%=568.51.
5. Now we have two simple equations:
1) 100%=3285.42
2) x%=568.51
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%=3285.42/568.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 568.51 is what percent of 3285.42

100%/x%=3285.42/568.51
(100/x)*x=(3285.42/568.51)*x       - we multiply both sides of the equation by x
100=5.7790012488786*x       - we divide both sides of the equation by (5.7790012488786) to get x
100/5.7790012488786=x
17.304028099908=x
x=17.304028099908

now we have:
568.51 is 17.304028099908% of 3285.42