41.8 is what percent of 1060.27 - 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 1060.27 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 1060.27, so we can write it down as 100%=1060.27.
4. We know, that x% equals 41.8 of the output value, so we can write it down as x%=41.8.
5. Now we have two simple equations:
1) 100%=1060.27
2) x%=41.8
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%=1060.27/41.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.8 is what percent of 1060.27

100%/x%=1060.27/41.8
(100/x)*x=(1060.27/41.8)*x       - we multiply both sides of the equation by x
100=25.365311004785*x       - we divide both sides of the equation by (25.365311004785) to get x
100/25.365311004785=x
3.9423920322182=x
x=3.9423920322182

now we have:
41.8 is 3.9423920322182% of 1060.27