What is 95.83333333 percent of 36 - 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 36 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 36 is 100%, so we can write it down as 36=100%.
4. We know, that x is 95.83333333% of the output value, so we can write it down as x=95.83333333%.
5. Now we have two simple equations:
1) 36=100%
2) x=95.83333333%
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:
36/x=100%/95.83333333%
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 95.83333333% of 36

36/x=100/95.83333333
(36/x)*x=(100/95.83333333)*x       - we multiply both sides of the equation by x
36=1.0434782609059*x       - we divide both sides of the equation by (1.0434782609059) to get x
36/1.0434782609059=x
34.4999999988=x
x=34.4999999988

now we have:
95.83333333% of 36=34.4999999988