What is 11.3636363636 percent of 44 - 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 44 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 44 is 100%, so we can write it down as 44=100%.
4. We know, that x is 11.3636363636% of the output value, so we can write it down as x=11.3636363636%.
5. Now we have two simple equations:
1) 44=100%
2) x=11.3636363636%
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:
44/x=100%/11.3636363636%
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 11.3636363636% of 44

44/x=100/11.3636363636
(44/x)*x=(100/11.3636363636)*x       - we multiply both sides of the equation by x
44=8.8000000000282*x       - we divide both sides of the equation by (8.8000000000282) to get x
44/8.8000000000282=x
4.999999999984=x
x=4.999999999984

now we have:
11.3636363636% of 44=4.999999999984