144.75 is what percent of 444 - 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 444 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 444, so we can write it down as 100%=444.
4. We know, that x% equals 144.75 of the output value, so we can write it down as x%=144.75.
5. Now we have two simple equations:
1) 100%=444
2) x%=144.75
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%=444/144.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 144.75 is what percent of 444

100%/x%=444/144.75
(100/x)*x=(444/144.75)*x       - we multiply both sides of the equation by x
100=3.0673575129534*x       - we divide both sides of the equation by (3.0673575129534) to get x
100/3.0673575129534=x
32.601351351351=x
x=32.601351351351

now we have:
144.75 is 32.601351351351% of 444