96 is what percent of 794 - 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 794 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 794, so we can write it down as 100%=794.
4. We know, that x% equals 96 of the output value, so we can write it down as x%=96.
5. Now we have two simple equations:
1) 100%=794
2) x%=96
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%=794/96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 96 is what percent of 794

100%/x%=794/96
(100/x)*x=(794/96)*x       - we multiply both sides of the equation by x
100=8.2708333333333*x       - we divide both sides of the equation by (8.2708333333333) to get x
100/8.2708333333333=x
12.090680100756=x
x=12.090680100756

now we have:
96 is 12.090680100756% of 794