9.6 is what percent of 160.4 - 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 160.4 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 160.4, so we can write it down as 100%=160.4.
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%=160.4
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%=160.4/9.6
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 160.4

100%/x%=160.4/9.6
(100/x)*x=(160.4/9.6)*x       - we multiply both sides of the equation by x
100=16.708333333333*x       - we divide both sides of the equation by (16.708333333333) to get x
100/16.708333333333=x
5.9850374064838=x
x=5.9850374064838

now we have:
9.6 is 5.9850374064838% of 160.4