What is 87.75 percent of 110.25 - 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 110.25 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 110.25 is 100%, so we can write it down as 110.25=100%.
4. We know, that x is 87.75% of the output value, so we can write it down as x=87.75%.
5. Now we have two simple equations:
1) 110.25=100%
2) x=87.75%
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:
110.25/x=100%/87.75%
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 87.75% of 110.25

110.25/x=100/87.75
(110.25/x)*x=(100/87.75)*x       - we multiply both sides of the equation by x
110.25=1.1396011396011*x       - we divide both sides of the equation by (1.1396011396011) to get x
110.25/1.1396011396011=x
96.744375=x
x=96.744375

now we have:
87.75% of 110.25=96.744375