What is 7.8125 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 7.8125% of the output value, so we can write it down as x=7.8125%.
5. Now we have two simple equations:
1) 44=100%
2) x=7.8125%
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%/7.8125%
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 7.8125% of 44

44/x=100/7.8125
(44/x)*x=(100/7.8125)*x       - we multiply both sides of the equation by x
44=12.8*x       - we divide both sides of the equation by (12.8) to get x
44/12.8=x
3.4375=x
x=3.4375

now we have:
7.8125% of 44=3.4375