49.22 is what percent of 44.95 - 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 44.95 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 44.95, so we can write it down as 100%=44.95.
4. We know, that x% equals 49.22 of the output value, so we can write it down as x%=49.22.
5. Now we have two simple equations:
1) 100%=44.95
2) x%=49.22
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%=44.95/49.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.22 is what percent of 44.95

100%/x%=44.95/49.22
(100/x)*x=(44.95/49.22)*x       - we multiply both sides of the equation by x
100=0.91324664770419*x       - we divide both sides of the equation by (0.91324664770419) to get x
100/0.91324664770419=x
109.49944382647=x
x=109.49944382647

now we have:
49.22 is 109.49944382647% of 44.95