What is 21.64 percent of 11.555 - 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 11.555 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 11.555 is 100%, so we can write it down as 11.555=100%.
4. We know, that x is 21.64% of the output value, so we can write it down as x=21.64%.
5. Now we have two simple equations:
1) 11.555=100%
2) x=21.64%
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:
11.555/x=100%/21.64%
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 21.64% of 11.555

11.555/x=100/21.64
(11.555/x)*x=(100/21.64)*x       - we multiply both sides of the equation by x
11.555=4.6210720887246*x       - we divide both sides of the equation by (4.6210720887246) to get x
11.555/4.6210720887246=x
2.500502=x
x=2.500502

now we have:
21.64% of 11.555=2.500502