41.01 is what percent of 67.37 - 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 67.37 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 67.37, so we can write it down as 100%=67.37.
4. We know, that x% equals 41.01 of the output value, so we can write it down as x%=41.01.
5. Now we have two simple equations:
1) 100%=67.37
2) x%=41.01
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%=67.37/41.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.01 is what percent of 67.37

100%/x%=67.37/41.01
(100/x)*x=(67.37/41.01)*x       - we multiply both sides of the equation by x
100=1.6427700560839*x       - we divide both sides of the equation by (1.6427700560839) to get x
100/1.6427700560839=x
60.872792043936=x
x=60.872792043936

now we have:
41.01 is 60.872792043936% of 67.37