9.6 is what percent of 362.9 - 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 362.9 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 362.9, so we can write it down as 100%=362.9.
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%=362.9
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%=362.9/9.6
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 362.9

100%/x%=362.9/9.6
(100/x)*x=(362.9/9.6)*x       - we multiply both sides of the equation by x
100=37.802083333333*x       - we divide both sides of the equation by (37.802083333333) to get x
100/37.802083333333=x
2.6453568476164=x
x=2.6453568476164

now we have:
9.6 is 2.6453568476164% of 362.9