What is 110 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 110% of the output value, so we can write it down as x=110%.
5. Now we have two simple equations:
1) 106.5=100%
2) x=110%
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%/110%
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 110% of 106.5

106.5/x=100/110
(106.5/x)*x=(100/110)*x       - we multiply both sides of the equation by x
106.5=0.90909090909091*x       - we divide both sides of the equation by (0.90909090909091) to get x
106.5/0.90909090909091=x
117.15=x
x=117.15

now we have:
110% of 106.5=117.15