9.95 is what percent of 109.05 - 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 109.05 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 109.05, so we can write it down as 100%=109.05.
4. We know, that x% equals 9.95 of the output value, so we can write it down as x%=9.95.
5. Now we have two simple equations:
1) 100%=109.05
2) x%=9.95
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%=109.05/9.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.95 is what percent of 109.05

100%/x%=109.05/9.95
(100/x)*x=(109.05/9.95)*x       - we multiply both sides of the equation by x
100=10.959798994975*x       - we divide both sides of the equation by (10.959798994975) to get x
100/10.959798994975=x
9.1242549289317=x
x=9.1242549289317

now we have:
9.95 is 9.1242549289317% of 109.05