What is 2.08333333 percent of 33.6 - 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 33.6 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 33.6 is 100%, so we can write it down as 33.6=100%.
4. We know, that x is 2.08333333% of the output value, so we can write it down as x=2.08333333%.
5. Now we have two simple equations:
1) 33.6=100%
2) x=2.08333333%
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:
33.6/x=100%/2.08333333%
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 2.08333333% of 33.6

33.6/x=100/2.08333333
(33.6/x)*x=(100/2.08333333)*x       - we multiply both sides of the equation by x
33.6=48.0000000768*x       - we divide both sides of the equation by (48.0000000768) to get x
33.6/48.0000000768=x
0.69999999888=x
x=0.69999999888

now we have:
2.08333333% of 33.6=0.69999999888