96 is what percent of 1.055 - 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 1.055 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 1.055, so we can write it down as 100%=1.055.
4. We know, that x% equals 96 of the output value, so we can write it down as x%=96.
5. Now we have two simple equations:
1) 100%=1.055
2) x%=96
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%=1.055/96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 96 is what percent of 1.055

100%/x%=1.055/96
(100/x)*x=(1.055/96)*x       - we multiply both sides of the equation by x
100=0.010989583333333*x       - we divide both sides of the equation by (0.010989583333333) to get x
100/0.010989583333333=x
9099.5260663507=x
x=9099.5260663507

now we have:
96 is 9099.5260663507% of 1.055