490.8 is what percent of 510 - 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 510 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 510, so we can write it down as 100%=510.
4. We know, that x% equals 490.8 of the output value, so we can write it down as x%=490.8.
5. Now we have two simple equations:
1) 100%=510
2) x%=490.8
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%=510/490.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 490.8 is what percent of 510

100%/x%=510/490.8
(100/x)*x=(510/490.8)*x       - we multiply both sides of the equation by x
100=1.039119804401*x       - we divide both sides of the equation by (1.039119804401) to get x
100/1.039119804401=x
96.235294117647=x
x=96.235294117647

now we have:
490.8 is 96.235294117647% of 510