What is 56.8 percent of 11 - 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 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 is 100%, so we can write it down as 11=100%.
4. We know, that x is 56.8% of the output value, so we can write it down as x=56.8%.
5. Now we have two simple equations:
1) 11=100%
2) x=56.8%
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/x=100%/56.8%
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 56.8% of 11

11/x=100/56.8
(11/x)*x=(100/56.8)*x       - we multiply both sides of the equation by x
11=1.7605633802817*x       - we divide both sides of the equation by (1.7605633802817) to get x
11/1.7605633802817=x
6.248=x
x=6.248

now we have:
56.8% of 11=6.248