486.8 is what percent of 508.95 - 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 508.95 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 508.95, so we can write it down as 100%=508.95.
4. We know, that x% equals 486.8 of the output value, so we can write it down as x%=486.8.
5. Now we have two simple equations:
1) 100%=508.95
2) x%=486.8
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%=508.95/486.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 486.8 is what percent of 508.95

100%/x%=508.95/486.8
(100/x)*x=(508.95/486.8)*x       - we multiply both sides of the equation by x
100=1.045501232539*x       - we divide both sides of the equation by (1.045501232539) to get x
100/1.045501232539=x
95.647902544454=x
x=95.647902544454

now we have:
486.8 is 95.647902544454% of 508.95