What is 82.22 percent of 15 - 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 15 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 15 is 100%, so we can write it down as 15=100%.
4. We know, that x is 82.22% of the output value, so we can write it down as x=82.22%.
5. Now we have two simple equations:
1) 15=100%
2) x=82.22%
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:
15/x=100%/82.22%
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 82.22% of 15

15/x=100/82.22
(15/x)*x=(100/82.22)*x       - we multiply both sides of the equation by x
15=1.2162490878132*x       - we divide both sides of the equation by (1.2162490878132) to get x
15/1.2162490878132=x
12.333=x
x=12.333

now we have:
82.22% of 15=12.333