97.85 is what percent of 96.5 - 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 96.5 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 96.5, so we can write it down as 100%=96.5.
4. We know, that x% equals 97.85 of the output value, so we can write it down as x%=97.85.
5. Now we have two simple equations:
1) 100%=96.5
2) x%=97.85
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%=96.5/97.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 97.85 is what percent of 96.5

100%/x%=96.5/97.85
(100/x)*x=(96.5/97.85)*x       - we multiply both sides of the equation by x
100=0.98620337250894*x       - we divide both sides of the equation by (0.98620337250894) to get x
100/0.98620337250894=x
101.39896373057=x
x=101.39896373057

now we have:
97.85 is 101.39896373057% of 96.5