36.24 is what percent of 480.76 - 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 480.76 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 480.76, so we can write it down as 100%=480.76.
4. We know, that x% equals 36.24 of the output value, so we can write it down as x%=36.24.
5. Now we have two simple equations:
1) 100%=480.76
2) x%=36.24
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%=480.76/36.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.24 is what percent of 480.76

100%/x%=480.76/36.24
(100/x)*x=(480.76/36.24)*x       - we multiply both sides of the equation by x
100=13.266004415011*x       - we divide both sides of the equation by (13.266004415011) to get x
100/13.266004415011=x
7.5380647308428=x
x=7.5380647308428

now we have:
36.24 is 7.5380647308428% of 480.76