0.1 is what percent of 10.95 - 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 10.95 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 10.95, so we can write it down as 100%=10.95.
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%=10.95
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%=10.95/0.1
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 10.95

100%/x%=10.95/0.1
(100/x)*x=(10.95/0.1)*x       - we multiply both sides of the equation by x
100=109.5*x       - we divide both sides of the equation by (109.5) to get x
100/109.5=x
0.91324200913242=x
x=0.91324200913242

now we have:
0.1 is 0.91324200913242% of 10.95