9.72 is what percent of 1040.85 - 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 1040.85 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 1040.85, so we can write it down as 100%=1040.85.
4. We know, that x% equals 9.72 of the output value, so we can write it down as x%=9.72.
5. Now we have two simple equations:
1) 100%=1040.85
2) x%=9.72
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%=1040.85/9.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.72 is what percent of 1040.85

100%/x%=1040.85/9.72
(100/x)*x=(1040.85/9.72)*x       - we multiply both sides of the equation by x
100=107.08333333333*x       - we divide both sides of the equation by (107.08333333333) to get x
100/107.08333333333=x
0.93385214007782=x
x=0.93385214007782

now we have:
9.72 is 0.93385214007782% of 1040.85