413.6 is what percent of 458.39 - 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 458.39 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 458.39, so we can write it down as 100%=458.39.
4. We know, that x% equals 413.6 of the output value, so we can write it down as x%=413.6.
5. Now we have two simple equations:
1) 100%=458.39
2) x%=413.6
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%=458.39/413.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 413.6 is what percent of 458.39

100%/x%=458.39/413.6
(100/x)*x=(458.39/413.6)*x       - we multiply both sides of the equation by x
100=1.1082930367505*x       - we divide both sides of the equation by (1.1082930367505) to get x
100/1.1082930367505=x
90.228844433779=x
x=90.228844433779

now we have:
413.6 is 90.228844433779% of 458.39