517.75 is what percent of 668 - 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 668 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 668, so we can write it down as 100%=668.
4. We know, that x% equals 517.75 of the output value, so we can write it down as x%=517.75.
5. Now we have two simple equations:
1) 100%=668
2) x%=517.75
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%=668/517.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 517.75 is what percent of 668

100%/x%=668/517.75
(100/x)*x=(668/517.75)*x       - we multiply both sides of the equation by x
100=1.2901979719942*x       - we divide both sides of the equation by (1.2901979719942) to get x
100/1.2901979719942=x
77.50748502994=x
x=77.50748502994

now we have:
517.75 is 77.50748502994% of 668