0.1 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 0.1 of the output value, so we can write it down as x%=0.1.
5. Now we have two simple equations:
1) 100%=9.9
2) x%=0.1
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:
100%/x%=9.9/0.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.1 is what percent of 9.9

100%/x%=9.9/0.1
(100/x)*x=(9.9/0.1)*x       - we multiply both sides of the equation by x
100=99*x       - we divide both sides of the equation by (99) to get x
100/99=x
1.010101010101=x
x=1.010101010101

now we have:
0.1 is 1.010101010101% of 9.9