What is 5.5 percent of 105600 - 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 105600 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 105600 is 100%, so we can write it down as 105600=100%.
4. We know, that x is 5.5% of the output value, so we can write it down as x=5.5%.
5. Now we have two simple equations:
1) 105600=100%
2) x=5.5%
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:
105600/x=100%/5.5%
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 5.5% of 105600

105600/x=100/5.5
(105600/x)*x=(100/5.5)*x       - we multiply both sides of the equation by x
105600=18.181818181818*x       - we divide both sides of the equation by (18.181818181818) to get x
105600/18.181818181818=x
5808=x
x=5808

now we have:
5.5% of 105600=5808