What is 13.8 percent of 7.55 - 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 7.55 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 7.55 is 100%, so we can write it down as 7.55=100%.
4. We know, that x is 13.8% of the output value, so we can write it down as x=13.8%.
5. Now we have two simple equations:
1) 7.55=100%
2) x=13.8%
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:
7.55/x=100%/13.8%
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 13.8% of 7.55

7.55/x=100/13.8
(7.55/x)*x=(100/13.8)*x       - we multiply both sides of the equation by x
7.55=7.2463768115942*x       - we divide both sides of the equation by (7.2463768115942) to get x
7.55/7.2463768115942=x
1.0419=x
x=1.0419

now we have:
13.8% of 7.55=1.0419