444.93 is what percent of 1038.46 - 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 1038.46 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 1038.46, so we can write it down as 100%=1038.46.
4. We know, that x% equals 444.93 of the output value, so we can write it down as x%=444.93.
5. Now we have two simple equations:
1) 100%=1038.46
2) x%=444.93
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%=1038.46/444.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 444.93 is what percent of 1038.46

100%/x%=1038.46/444.93
(100/x)*x=(1038.46/444.93)*x       - we multiply both sides of the equation by x
100=2.333985121255*x       - we divide both sides of the equation by (2.333985121255) to get x
100/2.333985121255=x
42.845174585444=x
x=42.845174585444

now we have:
444.93 is 42.845174585444% of 1038.46