578.65 is what percent of 650.5 - 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 650.5 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 650.5, so we can write it down as 100%=650.5.
4. We know, that x% equals 578.65 of the output value, so we can write it down as x%=578.65.
5. Now we have two simple equations:
1) 100%=650.5
2) x%=578.65
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%=650.5/578.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 578.65 is what percent of 650.5

100%/x%=650.5/578.65
(100/x)*x=(650.5/578.65)*x       - we multiply both sides of the equation by x
100=1.1241683228204*x       - we divide both sides of the equation by (1.1241683228204) to get x
100/1.1241683228204=x
88.954650269024=x
x=88.954650269024

now we have:
578.65 is 88.954650269024% of 650.5