What is 8.0808080808081 percent of 0.99 - 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 0.99 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 0.99 is 100%, so we can write it down as 0.99=100%.
4. We know, that x is 8.0808080808081% of the output value, so we can write it down as x=8.0808080808081%.
5. Now we have two simple equations:
1) 0.99=100%
2) x=8.0808080808081%
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:
0.99/x=100%/8.0808080808081%
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 8.0808080808081% of 0.99

0.99/x=100/8.0808080808081
(0.99/x)*x=(100/8.0808080808081)*x       - we multiply both sides of the equation by x
0.99=12.375*x       - we divide both sides of the equation by (12.375) to get x
0.99/12.375=x
0.08=x
x=0.08

now we have:
8.0808080808081% of 0.99=0.08