39.83 is what percent of 363.98 - 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 363.98 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 363.98, so we can write it down as 100%=363.98.
4. We know, that x% equals 39.83 of the output value, so we can write it down as x%=39.83.
5. Now we have two simple equations:
1) 100%=363.98
2) x%=39.83
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%=363.98/39.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.83 is what percent of 363.98

100%/x%=363.98/39.83
(100/x)*x=(363.98/39.83)*x       - we multiply both sides of the equation by x
100=9.138337936229*x       - we divide both sides of the equation by (9.138337936229) to get x
100/9.138337936229=x
10.942908951041=x
x=10.942908951041

now we have:
39.83 is 10.942908951041% of 363.98