What is 109.75 percent of 123.75 - 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 123.75 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 123.75 is 100%, so we can write it down as 123.75=100%.
4. We know, that x is 109.75% of the output value, so we can write it down as x=109.75%.
5. Now we have two simple equations:
1) 123.75=100%
2) x=109.75%
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:
123.75/x=100%/109.75%
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 109.75% of 123.75

123.75/x=100/109.75
(123.75/x)*x=(100/109.75)*x       - we multiply both sides of the equation by x
123.75=0.91116173120729*x       - we divide both sides of the equation by (0.91116173120729) to get x
123.75/0.91116173120729=x
135.815625=x
x=135.815625

now we have:
109.75% of 123.75=135.815625