What is 36.269430051813 percent of 115.8 - 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 115.8 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 115.8 is 100%, so we can write it down as 115.8=100%.
4. We know, that x is 36.269430051813% of the output value, so we can write it down as x=36.269430051813%.
5. Now we have two simple equations:
1) 115.8=100%
2) x=36.269430051813%
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:
115.8/x=100%/36.269430051813%
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 36.269430051813% of 115.8

115.8/x=100/36.269430051813
(115.8/x)*x=(100/36.269430051813)*x       - we multiply both sides of the equation by x
115.8=2.7571428571429*x       - we divide both sides of the equation by (2.7571428571429) to get x
115.8/2.7571428571429=x
41.999999999999=x
x=41.999999999999

now we have:
36.269430051813% of 115.8=41.999999999999