8.6 is what percent of 23.2 - 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 23.2 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 23.2, so we can write it down as 100%=23.2.
4. We know, that x% equals 8.6 of the output value, so we can write it down as x%=8.6.
5. Now we have two simple equations:
1) 100%=23.2
2) x%=8.6
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%=23.2/8.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.6 is what percent of 23.2

100%/x%=23.2/8.6
(100/x)*x=(23.2/8.6)*x       - we multiply both sides of the equation by x
100=2.6976744186047*x       - we divide both sides of the equation by (2.6976744186047) to get x
100/2.6976744186047=x
37.068965517241=x
x=37.068965517241

now we have:
8.6 is 37.068965517241% of 23.2