40.85 is what percent of 120.1 - 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 120.1 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 120.1, so we can write it down as 100%=120.1.
4. We know, that x% equals 40.85 of the output value, so we can write it down as x%=40.85.
5. Now we have two simple equations:
1) 100%=120.1
2) x%=40.85
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%=120.1/40.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.85 is what percent of 120.1

100%/x%=120.1/40.85
(100/x)*x=(120.1/40.85)*x       - we multiply both sides of the equation by x
100=2.9400244798042*x       - we divide both sides of the equation by (2.9400244798042) to get x
100/2.9400244798042=x
34.013322231474=x
x=34.013322231474

now we have:
40.85 is 34.013322231474% of 120.1