What is 16.5 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 16.5% of the output value, so we can write it down as x=16.5%.
5. Now we have two simple equations:
1) 106.5=100%
2) x=16.5%
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:
106.5/x=100%/16.5%
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 16.5% of 106.5

106.5/x=100/16.5
(106.5/x)*x=(100/16.5)*x       - we multiply both sides of the equation by x
106.5=6.0606060606061*x       - we divide both sides of the equation by (6.0606060606061) to get x
106.5/6.0606060606061=x
17.5725=x
x=17.5725

now we have:
16.5% of 106.5=17.5725