What is 57.1 percent of 11.2 - 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 11.2 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 11.2 is 100%, so we can write it down as 11.2=100%.
4. We know, that x is 57.1% of the output value, so we can write it down as x=57.1%.
5. Now we have two simple equations:
1) 11.2=100%
2) x=57.1%
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:
11.2/x=100%/57.1%
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 57.1% of 11.2

11.2/x=100/57.1
(11.2/x)*x=(100/57.1)*x       - we multiply both sides of the equation by x
11.2=1.7513134851138*x       - we divide both sides of the equation by (1.7513134851138) to get x
11.2/1.7513134851138=x
6.3952=x
x=6.3952

now we have:
57.1% of 11.2=6.3952