413.48 is what percent of 500 - 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 500 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 500, so we can write it down as 100%=500.
4. We know, that x% equals 413.48 of the output value, so we can write it down as x%=413.48.
5. Now we have two simple equations:
1) 100%=500
2) x%=413.48
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%=500/413.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 413.48 is what percent of 500

100%/x%=500/413.48
(100/x)*x=(500/413.48)*x       - we multiply both sides of the equation by x
100=1.2092483312373*x       - we divide both sides of the equation by (1.2092483312373) to get x
100/1.2092483312373=x
82.696=x
x=82.696

now we have:
413.48 is 82.696% of 500