705.85 is what percent of 717.46 - 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 717.46 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 717.46, so we can write it down as 100%=717.46.
4. We know, that x% equals 705.85 of the output value, so we can write it down as x%=705.85.
5. Now we have two simple equations:
1) 100%=717.46
2) x%=705.85
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%=717.46/705.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 705.85 is what percent of 717.46

100%/x%=717.46/705.85
(100/x)*x=(717.46/705.85)*x       - we multiply both sides of the equation by x
100=1.0164482538783*x       - we divide both sides of the equation by (1.0164482538783) to get x
100/1.0164482538783=x
98.381791319377=x
x=98.381791319377

now we have:
705.85 is 98.381791319377% of 717.46