49.72 is what percent of 40.41 - 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 40.41 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 40.41, so we can write it down as 100%=40.41.
4. We know, that x% equals 49.72 of the output value, so we can write it down as x%=49.72.
5. Now we have two simple equations:
1) 100%=40.41
2) x%=49.72
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%=40.41/49.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.72 is what percent of 40.41

100%/x%=40.41/49.72
(100/x)*x=(40.41/49.72)*x       - we multiply both sides of the equation by x
100=0.81275140788415*x       - we divide both sides of the equation by (0.81275140788415) to get x
100/0.81275140788415=x
123.03885176936=x
x=123.03885176936

now we have:
49.72 is 123.03885176936% of 40.41