What is 11.21 percent of 11.21 - 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 11.21 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 11.21 is 100%, so we can write it down as 11.21=100%.
4. We know, that x is 11.21% of the output value, so we can write it down as x=11.21%.
5. Now we have two simple equations:
1) 11.21=100%
2) x=11.21%
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:
11.21/x=100%/11.21%
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 11.21% of 11.21

11.21/x=100/11.21
(11.21/x)*x=(100/11.21)*x       - we multiply both sides of the equation by x
11.21=8.9206066012489*x       - we divide both sides of the equation by (8.9206066012489) to get x
11.21/8.9206066012489=x
1.256641=x
x=1.256641

now we have:
11.21% of 11.21=1.256641