What is 106.5 percent of 107 - 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 107 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 107 is 100%, so we can write it down as 107=100%.
4. We know, that x is 106.5% of the output value, so we can write it down as x=106.5%.
5. Now we have two simple equations:
1) 107=100%
2) x=106.5%
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:
107/x=100%/106.5%
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 106.5% of 107

107/x=100/106.5
(107/x)*x=(100/106.5)*x       - we multiply both sides of the equation by x
107=0.93896713615023*x       - we divide both sides of the equation by (0.93896713615023) to get x
107/0.93896713615023=x
113.955=x
x=113.955

now we have:
106.5% of 107=113.955