What is 3800 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 3800% of the output value, so we can write it down as x=3800%.
5. Now we have two simple equations:
1) 5.5=100%
2) x=3800%
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%/3800%
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 3800% of 5.5

5.5/x=100/3800
(5.5/x)*x=(100/3800)*x       - we multiply both sides of the equation by x
5.5=0.026315789473684*x       - we divide both sides of the equation by (0.026315789473684) to get x
5.5/0.026315789473684=x
209=x
x=209

now we have:
3800% of 5.5=209