What is 108.75 percent of 28.24 - 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 28.24 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 28.24 is 100%, so we can write it down as 28.24=100%.
4. We know, that x is 108.75% of the output value, so we can write it down as x=108.75%.
5. Now we have two simple equations:
1) 28.24=100%
2) x=108.75%
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:
28.24/x=100%/108.75%
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 108.75% of 28.24

28.24/x=100/108.75
(28.24/x)*x=(100/108.75)*x       - we multiply both sides of the equation by x
28.24=0.91954022988506*x       - we divide both sides of the equation by (0.91954022988506) to get x
28.24/0.91954022988506=x
30.711=x
x=30.711

now we have:
108.75% of 28.24=30.711