408.16 is what percent of 432 - 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 432 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 432, so we can write it down as 100%=432.
4. We know, that x% equals 408.16 of the output value, so we can write it down as x%=408.16.
5. Now we have two simple equations:
1) 100%=432
2) x%=408.16
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%=432/408.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 408.16 is what percent of 432

100%/x%=432/408.16
(100/x)*x=(432/408.16)*x       - we multiply both sides of the equation by x
100=1.0584084672677*x       - we divide both sides of the equation by (1.0584084672677) to get x
100/1.0584084672677=x
94.481481481481=x
x=94.481481481481

now we have:
408.16 is 94.481481481481% of 432