41 is what percent of 44.75 - 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 44.75 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 44.75, so we can write it down as 100%=44.75.
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%=44.75
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%=44.75/41
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 44.75

100%/x%=44.75/41
(100/x)*x=(44.75/41)*x       - we multiply both sides of the equation by x
100=1.0914634146341*x       - we divide both sides of the equation by (1.0914634146341) to get x
100/1.0914634146341=x
91.620111731844=x
x=91.620111731844

now we have:
41 is 91.620111731844% of 44.75