What is 11.36 percent of 440 - 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 440 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 440 is 100%, so we can write it down as 440=100%.
4. We know, that x is 11.36% of the output value, so we can write it down as x=11.36%.
5. Now we have two simple equations:
1) 440=100%
2) x=11.36%
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:
440/x=100%/11.36%
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 11.36% of 440

440/x=100/11.36
(440/x)*x=(100/11.36)*x       - we multiply both sides of the equation by x
440=8.8028169014085*x       - we divide both sides of the equation by (8.8028169014085) to get x
440/8.8028169014085=x
49.984=x
x=49.984

now we have:
11.36% of 440=49.984