96.6 is what percent of 122.4 - 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 122.4 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 122.4, so we can write it down as 100%=122.4.
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%=122.4
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%=122.4/96.6
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 122.4

100%/x%=122.4/96.6
(100/x)*x=(122.4/96.6)*x       - we multiply both sides of the equation by x
100=1.2670807453416*x       - we divide both sides of the equation by (1.2670807453416) to get x
100/1.2670807453416=x
78.921568627451=x
x=78.921568627451

now we have:
96.6 is 78.921568627451% of 122.4