41.08 is what percent of 1140 - 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 1140 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 1140, so we can write it down as 100%=1140.
4. We know, that x% equals 41.08 of the output value, so we can write it down as x%=41.08.
5. Now we have two simple equations:
1) 100%=1140
2) x%=41.08
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%=1140/41.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.08 is what percent of 1140

100%/x%=1140/41.08
(100/x)*x=(1140/41.08)*x       - we multiply both sides of the equation by x
100=27.750730282376*x       - we divide both sides of the equation by (27.750730282376) to get x
100/27.750730282376=x
3.6035087719298=x
x=3.6035087719298

now we have:
41.08 is 3.6035087719298% of 1140