49.49 is what percent of 44.37 - 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 44.37 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 44.37, so we can write it down as 100%=44.37.
4. We know, that x% equals 49.49 of the output value, so we can write it down as x%=49.49.
5. Now we have two simple equations:
1) 100%=44.37
2) x%=49.49
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%=44.37/49.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.49 is what percent of 44.37

100%/x%=44.37/49.49
(100/x)*x=(44.37/49.49)*x       - we multiply both sides of the equation by x
100=0.89654475651647*x       - we divide both sides of the equation by (0.89654475651647) to get x
100/0.89654475651647=x
111.53932837503=x
x=111.53932837503

now we have:
49.49 is 111.53932837503% of 44.37