49.5 is what percent of 44.05 - 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 44.05 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 44.05, so we can write it down as 100%=44.05.
4. We know, that x% equals 49.5 of the output value, so we can write it down as x%=49.5.
5. Now we have two simple equations:
1) 100%=44.05
2) x%=49.5
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%=44.05/49.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.5 is what percent of 44.05

100%/x%=44.05/49.5
(100/x)*x=(44.05/49.5)*x       - we multiply both sides of the equation by x
100=0.88989898989899*x       - we divide both sides of the equation by (0.88989898989899) to get x
100/0.88989898989899=x
112.37230419977=x
x=112.37230419977

now we have:
49.5 is 112.37230419977% of 44.05