What is 96.67 percent of 96 - 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 96 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 96 is 100%, so we can write it down as 96=100%.
4. We know, that x is 96.67% of the output value, so we can write it down as x=96.67%.
5. Now we have two simple equations:
1) 96=100%
2) x=96.67%
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:
96/x=100%/96.67%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 96.67% of 96

96/x=100/96.67
(96/x)*x=(100/96.67)*x       - we multiply both sides of the equation by x
96=1.0344470880314*x       - we divide both sides of the equation by (1.0344470880314) to get x
96/1.0344470880314=x
92.8032=x
x=92.8032

now we have:
96.67% of 96=92.8032