40.8 is what percent of 323.37 - 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 323.37 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 323.37, so we can write it down as 100%=323.37.
4. We know, that x% equals 40.8 of the output value, so we can write it down as x%=40.8.
5. Now we have two simple equations:
1) 100%=323.37
2) x%=40.8
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%=323.37/40.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.8 is what percent of 323.37

100%/x%=323.37/40.8
(100/x)*x=(323.37/40.8)*x       - we multiply both sides of the equation by x
100=7.9257352941176*x       - we divide both sides of the equation by (7.9257352941176) to get x
100/7.9257352941176=x
12.61712589294=x
x=12.61712589294

now we have:
40.8 is 12.61712589294% of 323.37