582.96 is what percent of 3309.2 - 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 3309.2 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 3309.2, so we can write it down as 100%=3309.2.
4. We know, that x% equals 582.96 of the output value, so we can write it down as x%=582.96.
5. Now we have two simple equations:
1) 100%=3309.2
2) x%=582.96
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%=3309.2/582.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 582.96 is what percent of 3309.2

100%/x%=3309.2/582.96
(100/x)*x=(3309.2/582.96)*x       - we multiply both sides of the equation by x
100=5.6765472759709*x       - we divide both sides of the equation by (5.6765472759709) to get x
100/5.6765472759709=x
17.616342318385=x
x=17.616342318385

now we have:
582.96 is 17.616342318385% of 3309.2