What is 165.9 percent of 5.5 - 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 5.5 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 5.5 is 100%, so we can write it down as 5.5=100%.
4. We know, that x is 165.9% of the output value, so we can write it down as x=165.9%.
5. Now we have two simple equations:
1) 5.5=100%
2) x=165.9%
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:
5.5/x=100%/165.9%
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 165.9% of 5.5

5.5/x=100/165.9
(5.5/x)*x=(100/165.9)*x       - we multiply both sides of the equation by x
5.5=0.60277275467149*x       - we divide both sides of the equation by (0.60277275467149) to get x
5.5/0.60277275467149=x
9.1245=x
x=9.1245

now we have:
165.9% of 5.5=9.1245