37.46 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 37.46 of the output value, so we can write it down as x%=37.46.
5. Now we have two simple equations:
1) 100%=41
2) x%=37.46
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%=41/37.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.46 is what percent of 41

100%/x%=41/37.46
(100/x)*x=(41/37.46)*x       - we multiply both sides of the equation by x
100=1.0945008008542*x       - we divide both sides of the equation by (1.0945008008542) to get x
100/1.0945008008542=x
91.365853658537=x
x=91.365853658537

now we have:
37.46 is 91.365853658537% of 41