496.67 is what percent of 609.75 - 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 609.75 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 609.75, so we can write it down as 100%=609.75.
4. We know, that x% equals 496.67 of the output value, so we can write it down as x%=496.67.
5. Now we have two simple equations:
1) 100%=609.75
2) x%=496.67
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%=609.75/496.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 496.67 is what percent of 609.75

100%/x%=609.75/496.67
(100/x)*x=(609.75/496.67)*x       - we multiply both sides of the equation by x
100=1.22767632432*x       - we divide both sides of the equation by (1.22767632432) to get x
100/1.22767632432=x
81.454694546945=x
x=81.454694546945

now we have:
496.67 is 81.454694546945% of 609.75