505.5 is what percent of 650 - 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 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, so we can write it down as 100%=650.
4. We know, that x% equals 505.5 of the output value, so we can write it down as x%=505.5.
5. Now we have two simple equations:
1) 100%=650
2) x%=505.5
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%=650/505.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 505.5 is what percent of 650

100%/x%=650/505.5
(100/x)*x=(650/505.5)*x       - we multiply both sides of the equation by x
100=1.2858555885262*x       - we divide both sides of the equation by (1.2858555885262) to get x
100/1.2858555885262=x
77.769230769231=x
x=77.769230769231

now we have:
505.5 is 77.769230769231% of 650