96.6 is what percent of 765 - 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 765 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 765, so we can write it down as 100%=765.
4. We know, that x% equals 96.6 of the output value, so we can write it down as x%=96.6.
5. Now we have two simple equations:
1) 100%=765
2) x%=96.6
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%=765/96.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 96.6 is what percent of 765

100%/x%=765/96.6
(100/x)*x=(765/96.6)*x       - we multiply both sides of the equation by x
100=7.9192546583851*x       - we divide both sides of the equation by (7.9192546583851) to get x
100/7.9192546583851=x
12.627450980392=x
x=12.627450980392

now we have:
96.6 is 12.627450980392% of 765