What is 6.75 percent of 106.5 - 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 106.5 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 106.5 is 100%, so we can write it down as 106.5=100%.
4. We know, that x is 6.75% of the output value, so we can write it down as x=6.75%.
5. Now we have two simple equations:
1) 106.5=100%
2) x=6.75%
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:
106.5/x=100%/6.75%
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 6.75% of 106.5

106.5/x=100/6.75
(106.5/x)*x=(100/6.75)*x       - we multiply both sides of the equation by x
106.5=14.814814814815*x       - we divide both sides of the equation by (14.814814814815) to get x
106.5/14.814814814815=x
7.18875=x
x=7.18875

now we have:
6.75% of 106.5=7.18875