What is 2.08333 percent of 392 - 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 392 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 392 is 100%, so we can write it down as 392=100%.
4. We know, that x is 2.08333% of the output value, so we can write it down as x=2.08333%.
5. Now we have two simple equations:
1) 392=100%
2) x=2.08333%
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:
392/x=100%/2.08333%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 2.08333% of 392

392/x=100/2.08333
(392/x)*x=(100/2.08333)*x       - we multiply both sides of the equation by x
392=48.000076800123*x       - we divide both sides of the equation by (48.000076800123) to get x
392/48.000076800123=x
8.1666536=x
x=8.1666536

now we have:
2.08333% of 392=8.1666536