52.25 is what percent of 413.31 - 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 413.31 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 413.31, so we can write it down as 100%=413.31.
4. We know, that x% equals 52.25 of the output value, so we can write it down as x%=52.25.
5. Now we have two simple equations:
1) 100%=413.31
2) x%=52.25
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%=413.31/52.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52.25 is what percent of 413.31

100%/x%=413.31/52.25
(100/x)*x=(413.31/52.25)*x       - we multiply both sides of the equation by x
100=7.9102392344498*x       - we divide both sides of the equation by (7.9102392344498) to get x
100/7.9102392344498=x
12.641842684668=x
x=12.641842684668

now we have:
52.25 is 12.641842684668% of 413.31