9.6 is what percent of 123.8 - 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 123.8 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 123.8, so we can write it down as 100%=123.8.
4. We know, that x% equals 9.6 of the output value, so we can write it down as x%=9.6.
5. Now we have two simple equations:
1) 100%=123.8
2) x%=9.6
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%=123.8/9.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.6 is what percent of 123.8

100%/x%=123.8/9.6
(100/x)*x=(123.8/9.6)*x       - we multiply both sides of the equation by x
100=12.895833333333*x       - we divide both sides of the equation by (12.895833333333) to get x
100/12.895833333333=x
7.7544426494346=x
x=7.7544426494346

now we have:
9.6 is 7.7544426494346% of 123.8