What is 55.04 percent of 83.5 - 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 83.5 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 83.5 is 100%, so we can write it down as 83.5=100%.
4. We know, that x is 55.04% of the output value, so we can write it down as x=55.04%.
5. Now we have two simple equations:
1) 83.5=100%
2) x=55.04%
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:
83.5/x=100%/55.04%
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 55.04% of 83.5

83.5/x=100/55.04
(83.5/x)*x=(100/55.04)*x       - we multiply both sides of the equation by x
83.5=1.8168604651163*x       - we divide both sides of the equation by (1.8168604651163) to get x
83.5/1.8168604651163=x
45.9584=x
x=45.9584

now we have:
55.04% of 83.5=45.9584