9.6 is what percent of 3085 - 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 3085 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 3085, so we can write it down as 100%=3085.
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%=3085
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%=3085/9.6
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 3085

100%/x%=3085/9.6
(100/x)*x=(3085/9.6)*x       - we multiply both sides of the equation by x
100=321.35416666667*x       - we divide both sides of the equation by (321.35416666667) to get x
100/321.35416666667=x
0.31118314424635=x
x=0.31118314424635

now we have:
9.6 is 0.31118314424635% of 3085