41.46 is what percent of 365 - 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 365 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 365, so we can write it down as 100%=365.
4. We know, that x% equals 41.46 of the output value, so we can write it down as x%=41.46.
5. Now we have two simple equations:
1) 100%=365
2) x%=41.46
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%=365/41.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.46 is what percent of 365

100%/x%=365/41.46
(100/x)*x=(365/41.46)*x       - we multiply both sides of the equation by x
100=8.803666184274*x       - we divide both sides of the equation by (8.803666184274) to get x
100/8.803666184274=x
11.358904109589=x
x=11.358904109589

now we have:
41.46 is 11.358904109589% of 365