40.38 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 40.38 of the output value, so we can write it down as x%=40.38.
5. Now we have two simple equations:
1) 100%=41
2) x%=40.38
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%=41/40.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.38 is what percent of 41

100%/x%=41/40.38
(100/x)*x=(41/40.38)*x       - we multiply both sides of the equation by x
100=1.0153541357107*x       - we divide both sides of the equation by (1.0153541357107) to get x
100/1.0153541357107=x
98.487804878049=x
x=98.487804878049

now we have:
40.38 is 98.487804878049% of 41