41.61 is what percent of 504.41 - 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 504.41 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 504.41, so we can write it down as 100%=504.41.
4. We know, that x% equals 41.61 of the output value, so we can write it down as x%=41.61.
5. Now we have two simple equations:
1) 100%=504.41
2) x%=41.61
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%=504.41/41.61
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.61 is what percent of 504.41

100%/x%=504.41/41.61
(100/x)*x=(504.41/41.61)*x       - we multiply both sides of the equation by x
100=12.122326363855*x       - we divide both sides of the equation by (12.122326363855) to get x
100/12.122326363855=x
8.2492416883091=x
x=8.2492416883091

now we have:
41.61 is 8.2492416883091% of 504.41