41.41 is what percent of 359.95 - 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 359.95 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 359.95, so we can write it down as 100%=359.95.
4. We know, that x% equals 41.41 of the output value, so we can write it down as x%=41.41.
5. Now we have two simple equations:
1) 100%=359.95
2) x%=41.41
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%=359.95/41.41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.41 is what percent of 359.95

100%/x%=359.95/41.41
(100/x)*x=(359.95/41.41)*x       - we multiply both sides of the equation by x
100=8.6923448442405*x       - we divide both sides of the equation by (8.6923448442405) to get x
100/8.6923448442405=x
11.504375607723=x
x=11.504375607723

now we have:
41.41 is 11.504375607723% of 359.95