44 is what percent of 38.2 - 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 38.2 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 38.2, so we can write it down as 100%=38.2.
4. We know, that x% equals 44 of the output value, so we can write it down as x%=44.
5. Now we have two simple equations:
1) 100%=38.2
2) x%=44
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%=38.2/44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 44 is what percent of 38.2

100%/x%=38.2/44
(100/x)*x=(38.2/44)*x       - we multiply both sides of the equation by x
100=0.86818181818182*x       - we divide both sides of the equation by (0.86818181818182) to get x
100/0.86818181818182=x
115.1832460733=x
x=115.1832460733

now we have:
44 is 115.1832460733% of 38.2