What is 111 percent of 102.5 - 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 102.5 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 102.5 is 100%, so we can write it down as 102.5=100%.
4. We know, that x is 111% of the output value, so we can write it down as x=111%.
5. Now we have two simple equations:
1) 102.5=100%
2) x=111%
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:
102.5/x=100%/111%
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 111% of 102.5

102.5/x=100/111
(102.5/x)*x=(100/111)*x       - we multiply both sides of the equation by x
102.5=0.9009009009009*x       - we divide both sides of the equation by (0.9009009009009) to get x
102.5/0.9009009009009=x
113.775=x
x=113.775

now we have:
111% of 102.5=113.775