41.6 is what percent of 268.2 - 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 268.2 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 268.2, so we can write it down as 100%=268.2.
4. We know, that x% equals 41.6 of the output value, so we can write it down as x%=41.6.
5. Now we have two simple equations:
1) 100%=268.2
2) x%=41.6
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%=268.2/41.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.6 is what percent of 268.2

100%/x%=268.2/41.6
(100/x)*x=(268.2/41.6)*x       - we multiply both sides of the equation by x
100=6.4471153846154*x       - we divide both sides of the equation by (6.4471153846154) to get x
100/6.4471153846154=x
15.510812826249=x
x=15.510812826249

now we have:
41.6 is 15.510812826249% of 268.2