41.1 is what percent of 295.1 - 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 295.1 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 295.1, so we can write it down as 100%=295.1.
4. We know, that x% equals 41.1 of the output value, so we can write it down as x%=41.1.
5. Now we have two simple equations:
1) 100%=295.1
2) x%=41.1
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%=295.1/41.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.1 is what percent of 295.1

100%/x%=295.1/41.1
(100/x)*x=(295.1/41.1)*x       - we multiply both sides of the equation by x
100=7.1800486618005*x       - we divide both sides of the equation by (7.1800486618005) to get x
100/7.1800486618005=x
13.927482209421=x
x=13.927482209421

now we have:
41.1 is 13.927482209421% of 295.1