144.71 is what percent of 288.46 - 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 288.46 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 288.46, so we can write it down as 100%=288.46.
4. We know, that x% equals 144.71 of the output value, so we can write it down as x%=144.71.
5. Now we have two simple equations:
1) 100%=288.46
2) x%=144.71
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%=288.46/144.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 144.71 is what percent of 288.46

100%/x%=288.46/144.71
(100/x)*x=(288.46/144.71)*x       - we multiply both sides of the equation by x
100=1.9933660424297*x       - we divide both sides of the equation by (1.9933660424297) to get x
100/1.9933660424297=x
50.166400887471=x
x=50.166400887471

now we have:
144.71 is 50.166400887471% of 288.46