What is 11.25 percent of 33.75 - 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 33.75 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 33.75 is 100%, so we can write it down as 33.75=100%.
4. We know, that x is 11.25% of the output value, so we can write it down as x=11.25%.
5. Now we have two simple equations:
1) 33.75=100%
2) x=11.25%
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:
33.75/x=100%/11.25%
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 11.25% of 33.75

33.75/x=100/11.25
(33.75/x)*x=(100/11.25)*x       - we multiply both sides of the equation by x
33.75=8.8888888888889*x       - we divide both sides of the equation by (8.8888888888889) to get x
33.75/8.8888888888889=x
3.796875=x
x=3.796875

now we have:
11.25% of 33.75=3.796875