495.18 is what percent of 509.49 - 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 509.49 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 509.49, so we can write it down as 100%=509.49.
4. We know, that x% equals 495.18 of the output value, so we can write it down as x%=495.18.
5. Now we have two simple equations:
1) 100%=509.49
2) x%=495.18
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%=509.49/495.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 495.18 is what percent of 509.49

100%/x%=509.49/495.18
(100/x)*x=(509.49/495.18)*x       - we multiply both sides of the equation by x
100=1.0288985823337*x       - we divide both sides of the equation by (1.0288985823337) to get x
100/1.0288985823337=x
97.191308956015=x
x=97.191308956015

now we have:
495.18 is 97.191308956015% of 509.49