144.59 is what percent of 122.19 - 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 122.19 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 122.19, so we can write it down as 100%=122.19.
4. We know, that x% equals 144.59 of the output value, so we can write it down as x%=144.59.
5. Now we have two simple equations:
1) 100%=122.19
2) x%=144.59
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%=122.19/144.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 144.59 is what percent of 122.19

100%/x%=122.19/144.59
(100/x)*x=(122.19/144.59)*x       - we multiply both sides of the equation by x
100=0.84507918943219*x       - we divide both sides of the equation by (0.84507918943219) to get x
100/0.84507918943219=x
118.33210573697=x
x=118.33210573697

now we have:
144.59 is 118.33210573697% of 122.19