8.99 is what percent of 81.5 - 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 81.5 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 81.5, so we can write it down as 100%=81.5.
4. We know, that x% equals 8.99 of the output value, so we can write it down as x%=8.99.
5. Now we have two simple equations:
1) 100%=81.5
2) x%=8.99
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%=81.5/8.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.99 is what percent of 81.5

100%/x%=81.5/8.99
(100/x)*x=(81.5/8.99)*x       - we multiply both sides of the equation by x
100=9.0656284760845*x       - we divide both sides of the equation by (9.0656284760845) to get x
100/9.0656284760845=x
11.030674846626=x
x=11.030674846626

now we have:
8.99 is 11.030674846626% of 81.5