84.69 is what percent of 108.8 - 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 108.8 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 100% equals 108.8, so we can write it down as 100%=108.8.
4. We know, that x% equals 84.69 of the output value, so we can write it down as x%=84.69.
5. Now we have two simple equations:
1) 100%=108.8
2) x%=84.69
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:
100%/x%=108.8/84.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 84.69 is what percent of 108.8

100%/x%=108.8/84.69
(100/x)*x=(108.8/84.69)*x       - we multiply both sides of the equation by x
100=1.2846853229425*x       - we divide both sides of the equation by (1.2846853229425) to get x
100/1.2846853229425=x
77.840073529412=x
x=77.840073529412

now we have:
84.69 is 77.840073529412% of 108.8