582.1 is what percent of 900.2 - 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 900.2 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 900.2, so we can write it down as 100%=900.2.
4. We know, that x% equals 582.1 of the output value, so we can write it down as x%=582.1.
5. Now we have two simple equations:
1) 100%=900.2
2) x%=582.1
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%=900.2/582.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 582.1 is what percent of 900.2

100%/x%=900.2/582.1
(100/x)*x=(900.2/582.1)*x       - we multiply both sides of the equation by x
100=1.5464696787494*x       - we divide both sides of the equation by (1.5464696787494) to get x
100/1.5464696787494=x
64.663408131526=x
x=64.663408131526

now we have:
582.1 is 64.663408131526% of 900.2