41.17 is what percent of 97.95 - 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 97.95 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 97.95, so we can write it down as 100%=97.95.
4. We know, that x% equals 41.17 of the output value, so we can write it down as x%=41.17.
5. Now we have two simple equations:
1) 100%=97.95
2) x%=41.17
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%=97.95/41.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.17 is what percent of 97.95

100%/x%=97.95/41.17
(100/x)*x=(97.95/41.17)*x       - we multiply both sides of the equation by x
100=2.3791595822201*x       - we divide both sides of the equation by (2.3791595822201) to get x
100/2.3791595822201=x
42.031648800408=x
x=42.031648800408

now we have:
41.17 is 42.031648800408% of 97.95