8.62 is what percent of 7.75 - 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 7.75 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 100% equals 7.75, so we can write it down as 100%=7.75.
4. We know, that x% equals 8.62 of the output value, so we can write it down as x%=8.62.
5. Now we have two simple equations:
1) 100%=7.75
2) x%=8.62
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%=7.75/8.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.62 is what percent of 7.75

100%/x%=7.75/8.62
(100/x)*x=(7.75/8.62)*x       - we multiply both sides of the equation by x
100=0.89907192575406*x       - we divide both sides of the equation by (0.89907192575406) to get x
100/0.89907192575406=x
111.22580645161=x
x=111.22580645161

now we have:
8.62 is 111.22580645161% of 7.75