What is 110.4 percent of 4.13 - 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 4.13 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 4.13 is 100%, so we can write it down as 4.13=100%.
4. We know, that x is 110.4% of the output value, so we can write it down as x=110.4%.
5. Now we have two simple equations:
1) 4.13=100%
2) x=110.4%
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:
4.13/x=100%/110.4%
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 110.4% of 4.13

4.13/x=100/110.4
(4.13/x)*x=(100/110.4)*x       - we multiply both sides of the equation by x
4.13=0.90579710144928*x       - we divide both sides of the equation by (0.90579710144928) to get x
4.13/0.90579710144928=x
4.55952=x
x=4.55952

now we have:
110.4% of 4.13=4.55952