144.48 is what percent of 739.65 - 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 739.65 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 739.65, so we can write it down as 100%=739.65.
4. We know, that x% equals 144.48 of the output value, so we can write it down as x%=144.48.
5. Now we have two simple equations:
1) 100%=739.65
2) x%=144.48
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%=739.65/144.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 144.48 is what percent of 739.65

100%/x%=739.65/144.48
(100/x)*x=(739.65/144.48)*x       - we multiply both sides of the equation by x
100=5.1193936877076*x       - we divide both sides of the equation by (5.1193936877076) to get x
100/5.1193936877076=x
19.53356317177=x
x=19.53356317177

now we have:
144.48 is 19.53356317177% of 739.65