What is 3.55 percent of 11.55 - 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 11.55 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 11.55 is 100%, so we can write it down as 11.55=100%.
4. We know, that x is 3.55% of the output value, so we can write it down as x=3.55%.
5. Now we have two simple equations:
1) 11.55=100%
2) x=3.55%
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:
11.55/x=100%/3.55%
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 3.55% of 11.55

11.55/x=100/3.55
(11.55/x)*x=(100/3.55)*x       - we multiply both sides of the equation by x
11.55=28.169014084507*x       - we divide both sides of the equation by (28.169014084507) to get x
11.55/28.169014084507=x
0.410025=x
x=0.410025

now we have:
3.55% of 11.55=0.410025