499.81 is what percent of 413.75 - 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 413.75 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 413.75, so we can write it down as 100%=413.75.
4. We know, that x% equals 499.81 of the output value, so we can write it down as x%=499.81.
5. Now we have two simple equations:
1) 100%=413.75
2) x%=499.81
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%=413.75/499.81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 499.81 is what percent of 413.75

100%/x%=413.75/499.81
(100/x)*x=(413.75/499.81)*x       - we multiply both sides of the equation by x
100=0.82781456953642*x       - we divide both sides of the equation by (0.82781456953642) to get x
100/0.82781456953642=x
120.8=x
x=120.8

now we have:
499.81 is 120.8% of 413.75