What is 55.384615384615 percent of 108.3 - 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 108.3 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 108.3 is 100%, so we can write it down as 108.3=100%.
4. We know, that x is 55.384615384615% of the output value, so we can write it down as x=55.384615384615%.
5. Now we have two simple equations:
1) 108.3=100%
2) x=55.384615384615%
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:
108.3/x=100%/55.384615384615%
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 55.384615384615% of 108.3

108.3/x=100/55.384615384615
(108.3/x)*x=(100/55.384615384615)*x       - we multiply both sides of the equation by x
108.3=1.8055555555556*x       - we divide both sides of the equation by (1.8055555555556) to get x
108.3/1.8055555555556=x
59.981538461538=x
x=59.981538461538

now we have:
55.384615384615% of 108.3=59.981538461538