330.37 is what percent of 819.25 - 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 819.25 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 819.25, so we can write it down as 100%=819.25.
4. We know, that x% equals 330.37 of the output value, so we can write it down as x%=330.37.
5. Now we have two simple equations:
1) 100%=819.25
2) x%=330.37
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%=819.25/330.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 330.37 is what percent of 819.25

100%/x%=819.25/330.37
(100/x)*x=(819.25/330.37)*x       - we multiply both sides of the equation by x
100=2.4797953809365*x       - we divide both sides of the equation by (2.4797953809365) to get x
100/2.4797953809365=x
40.325907842539=x
x=40.325907842539

now we have:
330.37 is 40.325907842539% of 819.25