472.94 is what percent of 1417.13 - 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 1417.13 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 1417.13, so we can write it down as 100%=1417.13.
4. We know, that x% equals 472.94 of the output value, so we can write it down as x%=472.94.
5. Now we have two simple equations:
1) 100%=1417.13
2) x%=472.94
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%=1417.13/472.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 472.94 is what percent of 1417.13

100%/x%=1417.13/472.94
(100/x)*x=(1417.13/472.94)*x       - we multiply both sides of the equation by x
100=2.9964266080264*x       - we divide both sides of the equation by (2.9964266080264) to get x
100/2.9964266080264=x
33.37308503807=x
x=33.37308503807

now we have:
472.94 is 33.37308503807% of 1417.13