What is 7.8 percent of 11.6 - 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 11.6 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 11.6 is 100%, so we can write it down as 11.6=100%.
4. We know, that x is 7.8% of the output value, so we can write it down as x=7.8%.
5. Now we have two simple equations:
1) 11.6=100%
2) x=7.8%
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:
11.6/x=100%/7.8%
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 7.8% of 11.6

11.6/x=100/7.8
(11.6/x)*x=(100/7.8)*x       - we multiply both sides of the equation by x
11.6=12.820512820513*x       - we divide both sides of the equation by (12.820512820513) to get x
11.6/12.820512820513=x
0.9048=x
x=0.9048

now we have:
7.8% of 11.6=0.9048