495.3 is what percent of 510.9 - 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 510.9 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 510.9, so we can write it down as 100%=510.9.
4. We know, that x% equals 495.3 of the output value, so we can write it down as x%=495.3.
5. Now we have two simple equations:
1) 100%=510.9
2) x%=495.3
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%=510.9/495.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 495.3 is what percent of 510.9

100%/x%=510.9/495.3
(100/x)*x=(510.9/495.3)*x       - we multiply both sides of the equation by x
100=1.0314960629921*x       - we divide both sides of the equation by (1.0314960629921) to get x
100/1.0314960629921=x
96.946564885496=x
x=96.946564885496

now we have:
495.3 is 96.946564885496% of 510.9