479.63 is what percent of 596.2 - 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 596.2 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 596.2, so we can write it down as 100%=596.2.
4. We know, that x% equals 479.63 of the output value, so we can write it down as x%=479.63.
5. Now we have two simple equations:
1) 100%=596.2
2) x%=479.63
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%=596.2/479.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 479.63 is what percent of 596.2

100%/x%=596.2/479.63
(100/x)*x=(596.2/479.63)*x       - we multiply both sides of the equation by x
100=1.2430415111649*x       - we divide both sides of the equation by (1.2430415111649) to get x
100/1.2430415111649=x
80.447836296545=x
x=80.447836296545

now we have:
479.63 is 80.447836296545% of 596.2