What is 105.9 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 105.9% of the output value, so we can write it down as x=105.9%.
5. Now we have two simple equations:
1) 36=100%
2) x=105.9%
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%/105.9%
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 105.9% of 36

36/x=100/105.9
(36/x)*x=(100/105.9)*x       - we multiply both sides of the equation by x
36=0.94428706326723*x       - we divide both sides of the equation by (0.94428706326723) to get x
36/0.94428706326723=x
38.124=x
x=38.124

now we have:
105.9% of 36=38.124