144.91 is what percent of 175.49 - 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 175.49 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 175.49, so we can write it down as 100%=175.49.
4. We know, that x% equals 144.91 of the output value, so we can write it down as x%=144.91.
5. Now we have two simple equations:
1) 100%=175.49
2) x%=144.91
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%=175.49/144.91
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 144.91 is what percent of 175.49

100%/x%=175.49/144.91
(100/x)*x=(175.49/144.91)*x       - we multiply both sides of the equation by x
100=1.2110275343317*x       - we divide both sides of the equation by (1.2110275343317) to get x
100/1.2110275343317=x
82.574505669839=x
x=82.574505669839

now we have:
144.91 is 82.574505669839% of 175.49