What is 13.75 percent of 86.25 - 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 86.25 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 86.25 is 100%, so we can write it down as 86.25=100%.
4. We know, that x is 13.75% of the output value, so we can write it down as x=13.75%.
5. Now we have two simple equations:
1) 86.25=100%
2) x=13.75%
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:
86.25/x=100%/13.75%
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 13.75% of 86.25

86.25/x=100/13.75
(86.25/x)*x=(100/13.75)*x       - we multiply both sides of the equation by x
86.25=7.2727272727273*x       - we divide both sides of the equation by (7.2727272727273) to get x
86.25/7.2727272727273=x
11.859375=x
x=11.859375

now we have:
13.75% of 86.25=11.859375