9.2 is what percent of 8.6 - 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 8.6 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 8.6, so we can write it down as 100%=8.6.
4. We know, that x% equals 9.2 of the output value, so we can write it down as x%=9.2.
5. Now we have two simple equations:
1) 100%=8.6
2) x%=9.2
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%=8.6/9.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.2 is what percent of 8.6

100%/x%=8.6/9.2
(100/x)*x=(8.6/9.2)*x       - we multiply both sides of the equation by x
100=0.93478260869565*x       - we divide both sides of the equation by (0.93478260869565) to get x
100/0.93478260869565=x
106.97674418605=x
x=106.97674418605

now we have:
9.2 is 106.97674418605% of 8.6