What is 10.125 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 10.125% of the output value, so we can write it down as x=10.125%.
5. Now we have two simple equations:
1) 11.25=100%
2) x=10.125%
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%/10.125%
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 10.125% of 11.25

11.25/x=100/10.125
(11.25/x)*x=(100/10.125)*x       - we multiply both sides of the equation by x
11.25=9.8765432098765*x       - we divide both sides of the equation by (9.8765432098765) to get x
11.25/9.8765432098765=x
1.1390625=x
x=1.1390625

now we have:
10.125% of 11.25=1.1390625