0.81 is what percent of 9.9 - 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 9.9 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 100% equals 9.9, so we can write it down as 100%=9.9.
4. We know, that x% equals 0.81 of the output value, so we can write it down as x%=0.81.
5. Now we have two simple equations:
1) 100%=9.9
2) x%=0.81
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:
100%/x%=9.9/0.81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.81 is what percent of 9.9

100%/x%=9.9/0.81
(100/x)*x=(9.9/0.81)*x       - we multiply both sides of the equation by x
100=12.222222222222*x       - we divide both sides of the equation by (12.222222222222) to get x
100/12.222222222222=x
8.1818181818182=x
x=8.1818181818182

now we have:
0.81 is 8.1818181818182% of 9.9