472.8 is what percent of 12000 - 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 12000 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 12000, so we can write it down as 100%=12000.
4. We know, that x% equals 472.8 of the output value, so we can write it down as x%=472.8.
5. Now we have two simple equations:
1) 100%=12000
2) x%=472.8
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%=12000/472.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 472.8 is what percent of 12000

100%/x%=12000/472.8
(100/x)*x=(12000/472.8)*x       - we multiply both sides of the equation by x
100=25.380710659898*x       - we divide both sides of the equation by (25.380710659898) to get x
100/25.380710659898=x
3.94=x
x=3.94

now we have:
472.8 is 3.94% of 12000