3.92 is what percent of 26.5 - 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 26.5 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 26.5, so we can write it down as 100%=26.5.
4. We know, that x% equals 3.92 of the output value, so we can write it down as x%=3.92.
5. Now we have two simple equations:
1) 100%=26.5
2) x%=3.92
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%=26.5/3.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.92 is what percent of 26.5

100%/x%=26.5/3.92
(100/x)*x=(26.5/3.92)*x       - we multiply both sides of the equation by x
100=6.7602040816327*x       - we divide both sides of the equation by (6.7602040816327) to get x
100/6.7602040816327=x
14.792452830189=x
x=14.792452830189

now we have:
3.92 is 14.792452830189% of 26.5