What is 6.841 percent of 11.37 - 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 11.37 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 11.37 is 100%, so we can write it down as 11.37=100%.
4. We know, that x is 6.841% of the output value, so we can write it down as x=6.841%.
5. Now we have two simple equations:
1) 11.37=100%
2) x=6.841%
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:
11.37/x=100%/6.841%
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 6.841% of 11.37

11.37/x=100/6.841
(11.37/x)*x=(100/6.841)*x       - we multiply both sides of the equation by x
11.37=14.617745943575*x       - we divide both sides of the equation by (14.617745943575) to get x
11.37/14.617745943575=x
0.7778217=x
x=0.7778217

now we have:
6.841% of 11.37=0.7778217