What is 54.8 percent of 106.6 - 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 106.6 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 106.6 is 100%, so we can write it down as 106.6=100%.
4. We know, that x is 54.8% of the output value, so we can write it down as x=54.8%.
5. Now we have two simple equations:
1) 106.6=100%
2) x=54.8%
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:
106.6/x=100%/54.8%
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 54.8% of 106.6

106.6/x=100/54.8
(106.6/x)*x=(100/54.8)*x       - we multiply both sides of the equation by x
106.6=1.8248175182482*x       - we divide both sides of the equation by (1.8248175182482) to get x
106.6/1.8248175182482=x
58.4168=x
x=58.4168

now we have:
54.8% of 106.6=58.4168