413.17 is what percent of 2022.25 - 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 2022.25 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 2022.25, so we can write it down as 100%=2022.25.
4. We know, that x% equals 413.17 of the output value, so we can write it down as x%=413.17.
5. Now we have two simple equations:
1) 100%=2022.25
2) x%=413.17
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%=2022.25/413.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 413.17 is what percent of 2022.25

100%/x%=2022.25/413.17
(100/x)*x=(2022.25/413.17)*x       - we multiply both sides of the equation by x
100=4.8944744294116*x       - we divide both sides of the equation by (4.8944744294116) to get x
100/4.8944744294116=x
20.431202868092=x
x=20.431202868092

now we have:
413.17 is 20.431202868092% of 2022.25