What is 9.1 percent of 9.1 - 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 9.1 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 9.1 is 100%, so we can write it down as 9.1=100%.
4. We know, that x is 9.1% of the output value, so we can write it down as x=9.1%.
5. Now we have two simple equations:
1) 9.1=100%
2) x=9.1%
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:
9.1/x=100%/9.1%
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 9.1% of 9.1

9.1/x=100/9.1
(9.1/x)*x=(100/9.1)*x       - we multiply both sides of the equation by x
9.1=10.989010989011*x       - we divide both sides of the equation by (10.989010989011) to get x
9.1/10.989010989011=x
0.8281=x
x=0.8281

now we have:
9.1% of 9.1=0.8281