What is 189 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 189% of the output value, so we can write it down as x=189%.
5. Now we have two simple equations:
1) 5.5=100%
2) x=189%
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%/189%
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 189% of 5.5

5.5/x=100/189
(5.5/x)*x=(100/189)*x       - we multiply both sides of the equation by x
5.5=0.52910052910053*x       - we divide both sides of the equation by (0.52910052910053) to get x
5.5/0.52910052910053=x
10.395=x
x=10.395

now we have:
189% of 5.5=10.395