What is 71.43 percent of 11.22 - 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 11.22 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 11.22 is 100%, so we can write it down as 11.22=100%.
4. We know, that x is 71.43% of the output value, so we can write it down as x=71.43%.
5. Now we have two simple equations:
1) 11.22=100%
2) x=71.43%
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:
11.22/x=100%/71.43%
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 71.43% of 11.22

11.22/x=100/71.43
(11.22/x)*x=(100/71.43)*x       - we multiply both sides of the equation by x
11.22=1.39997200056*x       - we divide both sides of the equation by (1.39997200056) to get x
11.22/1.39997200056=x
8.014446=x
x=8.014446

now we have:
71.43% of 11.22=8.014446