26.5 is what percent of 392.5 - 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 392.5 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 392.5, so we can write it down as 100%=392.5.
4. We know, that x% equals 26.5 of the output value, so we can write it down as x%=26.5.
5. Now we have two simple equations:
1) 100%=392.5
2) x%=26.5
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%=392.5/26.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26.5 is what percent of 392.5

100%/x%=392.5/26.5
(100/x)*x=(392.5/26.5)*x       - we multiply both sides of the equation by x
100=14.811320754717*x       - we divide both sides of the equation by (14.811320754717) to get x
100/14.811320754717=x
6.7515923566879=x
x=6.7515923566879

now we have:
26.5 is 6.7515923566879% of 392.5