What is 2.13 percent of 2.13 - 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 2.13 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 2.13 is 100%, so we can write it down as 2.13=100%.
4. We know, that x is 2.13% of the output value, so we can write it down as x=2.13%.
5. Now we have two simple equations:
1) 2.13=100%
2) x=2.13%
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:
2.13/x=100%/2.13%
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 2.13% of 2.13

2.13/x=100/2.13
(2.13/x)*x=(100/2.13)*x       - we multiply both sides of the equation by x
2.13=46.948356807512*x       - we divide both sides of the equation by (46.948356807512) to get x
2.13/46.948356807512=x
0.045369=x
x=0.045369

now we have:
2.13% of 2.13=0.045369