36.67 is what percent of 41 - 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 41 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 41, so we can write it down as 100%=41.
4. We know, that x% equals 36.67 of the output value, so we can write it down as x%=36.67.
5. Now we have two simple equations:
1) 100%=41
2) x%=36.67
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%=41/36.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.67 is what percent of 41

100%/x%=41/36.67
(100/x)*x=(41/36.67)*x       - we multiply both sides of the equation by x
100=1.1180801745296*x       - we divide both sides of the equation by (1.1180801745296) to get x
100/1.1180801745296=x
89.439024390244=x
x=89.439024390244

now we have:
36.67 is 89.439024390244% of 41