What is 82.857 percent of 15.5 - 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 15.5 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 15.5 is 100%, so we can write it down as 15.5=100%.
4. We know, that x is 82.857% of the output value, so we can write it down as x=82.857%.
5. Now we have two simple equations:
1) 15.5=100%
2) x=82.857%
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:
15.5/x=100%/82.857%
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 82.857% of 15.5

15.5/x=100/82.857
(15.5/x)*x=(100/82.857)*x       - we multiply both sides of the equation by x
15.5=1.2068986325838*x       - we divide both sides of the equation by (1.2068986325838) to get x
15.5/1.2068986325838=x
12.842835=x
x=12.842835

now we have:
82.857% of 15.5=12.842835