What is 36.56 percent of 113.77 - 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 113.77 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 113.77 is 100%, so we can write it down as 113.77=100%.
4. We know, that x is 36.56% of the output value, so we can write it down as x=36.56%.
5. Now we have two simple equations:
1) 113.77=100%
2) x=36.56%
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:
113.77/x=100%/36.56%
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 36.56% of 113.77

113.77/x=100/36.56
(113.77/x)*x=(100/36.56)*x       - we multiply both sides of the equation by x
113.77=2.7352297592998*x       - we divide both sides of the equation by (2.7352297592998) to get x
113.77/2.7352297592998=x
41.594312=x
x=41.594312

now we have:
36.56% of 113.77=41.594312