480.33 is what percent of 1018.85 - 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 1018.85 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 1018.85, so we can write it down as 100%=1018.85.
4. We know, that x% equals 480.33 of the output value, so we can write it down as x%=480.33.
5. Now we have two simple equations:
1) 100%=1018.85
2) x%=480.33
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%=1018.85/480.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 480.33 is what percent of 1018.85

100%/x%=1018.85/480.33
(100/x)*x=(1018.85/480.33)*x       - we multiply both sides of the equation by x
100=2.1211458788749*x       - we divide both sides of the equation by (2.1211458788749) to get x
100/2.1211458788749=x
47.14432939098=x
x=47.14432939098

now we have:
480.33 is 47.14432939098% of 1018.85