41 is what percent of 2307 - 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 2307 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 2307, so we can write it down as 100%=2307.
4. We know, that x% equals 41 of the output value, so we can write it down as x%=41.
5. Now we have two simple equations:
1) 100%=2307
2) x%=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%=2307/41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41 is what percent of 2307

100%/x%=2307/41
(100/x)*x=(2307/41)*x       - we multiply both sides of the equation by x
100=56.268292682927*x       - we divide both sides of the equation by (56.268292682927) to get x
100/56.268292682927=x
1.7771998266147=x
x=1.7771998266147

now we have:
41 is 1.7771998266147% of 2307