What is 8.99 percent of 8.99 - 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 8.99 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 8.99 is 100%, so we can write it down as 8.99=100%.
4. We know, that x is 8.99% of the output value, so we can write it down as x=8.99%.
5. Now we have two simple equations:
1) 8.99=100%
2) x=8.99%
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:
8.99/x=100%/8.99%
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 8.99% of 8.99

8.99/x=100/8.99
(8.99/x)*x=(100/8.99)*x       - we multiply both sides of the equation by x
8.99=11.123470522803*x       - we divide both sides of the equation by (11.123470522803) to get x
8.99/11.123470522803=x
0.808201=x
x=0.808201

now we have:
8.99% of 8.99=0.808201