What is 81.25 percent of 11.25 - 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 11.25 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 11.25 is 100%, so we can write it down as 11.25=100%.
4. We know, that x is 81.25% of the output value, so we can write it down as x=81.25%.
5. Now we have two simple equations:
1) 11.25=100%
2) x=81.25%
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:
11.25/x=100%/81.25%
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 81.25% of 11.25

11.25/x=100/81.25
(11.25/x)*x=(100/81.25)*x       - we multiply both sides of the equation by x
11.25=1.2307692307692*x       - we divide both sides of the equation by (1.2307692307692) to get x
11.25/1.2307692307692=x
9.140625=x
x=9.140625

now we have:
81.25% of 11.25=9.140625