480.2 is what percent of 4185.2 - 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 4185.2 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 4185.2, so we can write it down as 100%=4185.2.
4. We know, that x% equals 480.2 of the output value, so we can write it down as x%=480.2.
5. Now we have two simple equations:
1) 100%=4185.2
2) x%=480.2
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%=4185.2/480.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 480.2 is what percent of 4185.2

100%/x%=4185.2/480.2
(100/x)*x=(4185.2/480.2)*x       - we multiply both sides of the equation by x
100=8.7155351936693*x       - we divide both sides of the equation by (8.7155351936693) to get x
100/8.7155351936693=x
11.473764694638=x
x=11.473764694638

now we have:
480.2 is 11.473764694638% of 4185.2