What is 97.15 percent of 110.55 - 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 110.55 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 110.55 is 100%, so we can write it down as 110.55=100%.
4. We know, that x is 97.15% of the output value, so we can write it down as x=97.15%.
5. Now we have two simple equations:
1) 110.55=100%
2) x=97.15%
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:
110.55/x=100%/97.15%
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 97.15% of 110.55

110.55/x=100/97.15
(110.55/x)*x=(100/97.15)*x       - we multiply both sides of the equation by x
110.55=1.0293360782295*x       - we divide both sides of the equation by (1.0293360782295) to get x
110.55/1.0293360782295=x
107.399325=x
x=107.399325

now we have:
97.15% of 110.55=107.399325