What is 55.23 percent of 105.71 - 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 105.71 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 105.71 is 100%, so we can write it down as 105.71=100%.
4. We know, that x is 55.23% of the output value, so we can write it down as x=55.23%.
5. Now we have two simple equations:
1) 105.71=100%
2) x=55.23%
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:
105.71/x=100%/55.23%
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 55.23% of 105.71

105.71/x=100/55.23
(105.71/x)*x=(100/55.23)*x       - we multiply both sides of the equation by x
105.71=1.8106101756292*x       - we divide both sides of the equation by (1.8106101756292) to get x
105.71/1.8106101756292=x
58.383633=x
x=58.383633

now we have:
55.23% of 105.71=58.383633