44.8 is what percent of 158.5 - 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 158.5 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 158.5, so we can write it down as 100%=158.5.
4. We know, that x% equals 44.8 of the output value, so we can write it down as x%=44.8.
5. Now we have two simple equations:
1) 100%=158.5
2) x%=44.8
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%=158.5/44.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 44.8 is what percent of 158.5

100%/x%=158.5/44.8
(100/x)*x=(158.5/44.8)*x       - we multiply both sides of the equation by x
100=3.5379464285714*x       - we divide both sides of the equation by (3.5379464285714) to get x
100/3.5379464285714=x
28.264984227129=x
x=28.264984227129

now we have:
44.8 is 28.264984227129% of 158.5