500.5 is what percent of 955.5 - 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 955.5 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 955.5, so we can write it down as 100%=955.5.
4. We know, that x% equals 500.5 of the output value, so we can write it down as x%=500.5.
5. Now we have two simple equations:
1) 100%=955.5
2) x%=500.5
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%=955.5/500.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 500.5 is what percent of 955.5

100%/x%=955.5/500.5
(100/x)*x=(955.5/500.5)*x       - we multiply both sides of the equation by x
100=1.9090909090909*x       - we divide both sides of the equation by (1.9090909090909) to get x
100/1.9090909090909=x
52.380952380952=x
x=52.380952380952

now we have:
500.5 is 52.380952380952% of 955.5