472.5 is what percent of 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 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 13, so we can write it down as 100%=13.
4. We know, that x% equals 472.5 of the output value, so we can write it down as x%=472.5.
5. Now we have two simple equations:
1) 100%=13
2) x%=472.5
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%=13/472.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 472.5 is what percent of 13

100%/x%=13/472.5
(100/x)*x=(13/472.5)*x       - we multiply both sides of the equation by x
100=0.027513227513228*x       - we divide both sides of the equation by (0.027513227513228) to get x
100/0.027513227513228=x
3634.6153846154=x
x=3634.6153846154

now we have:
472.5 is 3634.6153846154% of 13