13.15 is what percent of 41.14 - 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 41.14 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 41.14, so we can write it down as 100%=41.14.
4. We know, that x% equals 13.15 of the output value, so we can write it down as x%=13.15.
5. Now we have two simple equations:
1) 100%=41.14
2) x%=13.15
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%=41.14/13.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.15 is what percent of 41.14

100%/x%=41.14/13.15
(100/x)*x=(41.14/13.15)*x       - we multiply both sides of the equation by x
100=3.1285171102662*x       - we divide both sides of the equation by (3.1285171102662) to get x
100/3.1285171102662=x
31.964025279533=x
x=31.964025279533

now we have:
13.15 is 31.964025279533% of 41.14