39.83 is what percent of 46.86 - 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 46.86 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 46.86, so we can write it down as 100%=46.86.
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%=46.86
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%=46.86/39.83
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 46.86

100%/x%=46.86/39.83
(100/x)*x=(46.86/39.83)*x       - we multiply both sides of the equation by x
100=1.1765001255335*x       - we divide both sides of the equation by (1.1765001255335) to get x
100/1.1765001255335=x
84.997865983781=x
x=84.997865983781

now we have:
39.83 is 84.997865983781% of 46.86