494.85 is what percent of 515.95 - 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 515.95 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 515.95, so we can write it down as 100%=515.95.
4. We know, that x% equals 494.85 of the output value, so we can write it down as x%=494.85.
5. Now we have two simple equations:
1) 100%=515.95
2) x%=494.85
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%=515.95/494.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 494.85 is what percent of 515.95

100%/x%=515.95/494.85
(100/x)*x=(515.95/494.85)*x       - we multiply both sides of the equation by x
100=1.042639183591*x       - we divide both sides of the equation by (1.042639183591) to get x
100/1.042639183591=x
95.910456439577=x
x=95.910456439577

now we have:
494.85 is 95.910456439577% of 515.95