144.95 is what percent of 124.95 - 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 124.95 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 124.95, so we can write it down as 100%=124.95.
4. We know, that x% equals 144.95 of the output value, so we can write it down as x%=144.95.
5. Now we have two simple equations:
1) 100%=124.95
2) x%=144.95
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%=124.95/144.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 144.95 is what percent of 124.95

100%/x%=124.95/144.95
(100/x)*x=(124.95/144.95)*x       - we multiply both sides of the equation by x
100=0.86202138668506*x       - we divide both sides of the equation by (0.86202138668506) to get x
100/0.86202138668506=x
116.00640256102=x
x=116.00640256102

now we have:
144.95 is 116.00640256102% of 124.95