10.89 is what percent of 9507 - 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 9507 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 9507, so we can write it down as 100%=9507.
4. We know, that x% equals 10.89 of the output value, so we can write it down as x%=10.89.
5. Now we have two simple equations:
1) 100%=9507
2) x%=10.89
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%=9507/10.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.89 is what percent of 9507

100%/x%=9507/10.89
(100/x)*x=(9507/10.89)*x       - we multiply both sides of the equation by x
100=873.00275482094*x       - we divide both sides of the equation by (873.00275482094) to get x
100/873.00275482094=x
0.11454717576523=x
x=0.11454717576523

now we have:
10.89 is 0.11454717576523% of 9507