455.37 is what percent of 480.6 - 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 480.6 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 480.6, so we can write it down as 100%=480.6.
4. We know, that x% equals 455.37 of the output value, so we can write it down as x%=455.37.
5. Now we have two simple equations:
1) 100%=480.6
2) x%=455.37
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%=480.6/455.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 455.37 is what percent of 480.6

100%/x%=480.6/455.37
(100/x)*x=(480.6/455.37)*x       - we multiply both sides of the equation by x
100=1.0554054944331*x       - we divide both sides of the equation by (1.0554054944331) to get x
100/1.0554054944331=x
94.750312109863=x
x=94.750312109863

now we have:
455.37 is 94.750312109863% of 480.6