565.62 is what percent of 2423.08 - 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 2423.08 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 2423.08, so we can write it down as 100%=2423.08.
4. We know, that x% equals 565.62 of the output value, so we can write it down as x%=565.62.
5. Now we have two simple equations:
1) 100%=2423.08
2) x%=565.62
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%=2423.08/565.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 565.62 is what percent of 2423.08

100%/x%=2423.08/565.62
(100/x)*x=(2423.08/565.62)*x       - we multiply both sides of the equation by x
100=4.2839362115908*x       - we divide both sides of the equation by (4.2839362115908) to get x
100/4.2839362115908=x
23.34301797712=x
x=23.34301797712

now we have:
565.62 is 23.34301797712% of 2423.08