What is 5.13 percent of 11.26 - 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 11.26 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 11.26 is 100%, so we can write it down as 11.26=100%.
4. We know, that x is 5.13% of the output value, so we can write it down as x=5.13%.
5. Now we have two simple equations:
1) 11.26=100%
2) x=5.13%
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:
11.26/x=100%/5.13%
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 5.13% of 11.26

11.26/x=100/5.13
(11.26/x)*x=(100/5.13)*x       - we multiply both sides of the equation by x
11.26=19.493177387914*x       - we divide both sides of the equation by (19.493177387914) to get x
11.26/19.493177387914=x
0.577638=x
x=0.577638

now we have:
5.13% of 11.26=0.577638