568.42 is what percent of 3167.6 - 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 3167.6 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 3167.6, so we can write it down as 100%=3167.6.
4. We know, that x% equals 568.42 of the output value, so we can write it down as x%=568.42.
5. Now we have two simple equations:
1) 100%=3167.6
2) x%=568.42
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%=3167.6/568.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 568.42 is what percent of 3167.6

100%/x%=3167.6/568.42
(100/x)*x=(3167.6/568.42)*x       - we multiply both sides of the equation by x
100=5.5726399493332*x       - we divide both sides of the equation by (5.5726399493332) to get x
100/5.5726399493332=x
17.94481626468=x
x=17.94481626468

now we have:
568.42 is 17.94481626468% of 3167.6