3.95 is what percent of 11.35 - 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 11.35 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 11.35, so we can write it down as 100%=11.35.
4. We know, that x% equals 3.95 of the output value, so we can write it down as x%=3.95.
5. Now we have two simple equations:
1) 100%=11.35
2) x%=3.95
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%=11.35/3.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.95 is what percent of 11.35

100%/x%=11.35/3.95
(100/x)*x=(11.35/3.95)*x       - we multiply both sides of the equation by x
100=2.873417721519*x       - we divide both sides of the equation by (2.873417721519) to get x
100/2.873417721519=x
34.801762114537=x
x=34.801762114537

now we have:
3.95 is 34.801762114537% of 11.35