96 is what percent of 1089.1 - 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 1089.1 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 1089.1, so we can write it down as 100%=1089.1.
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%=1089.1
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%=1089.1/96
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 1089.1

100%/x%=1089.1/96
(100/x)*x=(1089.1/96)*x       - we multiply both sides of the equation by x
100=11.344791666667*x       - we divide both sides of the equation by (11.344791666667) to get x
100/11.344791666667=x
8.8146175741438=x
x=8.8146175741438

now we have:
96 is 8.8146175741438% of 1089.1