What is 55.1 percent of 82.6 - 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 82.6 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 82.6 is 100%, so we can write it down as 82.6=100%.
4. We know, that x is 55.1% of the output value, so we can write it down as x=55.1%.
5. Now we have two simple equations:
1) 82.6=100%
2) x=55.1%
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:
82.6/x=100%/55.1%
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 55.1% of 82.6

82.6/x=100/55.1
(82.6/x)*x=(100/55.1)*x       - we multiply both sides of the equation by x
82.6=1.8148820326679*x       - we divide both sides of the equation by (1.8148820326679) to get x
82.6/1.8148820326679=x
45.5126=x
x=45.5126

now we have:
55.1% of 82.6=45.5126