What is 96.5 percent of 109 - 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 109 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 109 is 100%, so we can write it down as 109=100%.
4. We know, that x is 96.5% of the output value, so we can write it down as x=96.5%.
5. Now we have two simple equations:
1) 109=100%
2) x=96.5%
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:
109/x=100%/96.5%
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 96.5% of 109

109/x=100/96.5
(109/x)*x=(100/96.5)*x       - we multiply both sides of the equation by x
109=1.0362694300518*x       - we divide both sides of the equation by (1.0362694300518) to get x
109/1.0362694300518=x
105.185=x
x=105.185

now we have:
96.5% of 109=105.185