480.15 is what percent of 583.44 - 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 583.44 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 583.44, so we can write it down as 100%=583.44.
4. We know, that x% equals 480.15 of the output value, so we can write it down as x%=480.15.
5. Now we have two simple equations:
1) 100%=583.44
2) x%=480.15
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%=583.44/480.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 480.15 is what percent of 583.44

100%/x%=583.44/480.15
(100/x)*x=(583.44/480.15)*x       - we multiply both sides of the equation by x
100=1.2151202749141*x       - we divide both sides of the equation by (1.2151202749141) to get x
100/1.2151202749141=x
82.296380090498=x
x=82.296380090498

now we have:
480.15 is 82.296380090498% of 583.44