25.8 is what percent of 80.17 - 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 80.17 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 80.17, so we can write it down as 100%=80.17.
4. We know, that x% equals 25.8 of the output value, so we can write it down as x%=25.8.
5. Now we have two simple equations:
1) 100%=80.17
2) x%=25.8
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%=80.17/25.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25.8 is what percent of 80.17

100%/x%=80.17/25.8
(100/x)*x=(80.17/25.8)*x       - we multiply both sides of the equation by x
100=3.1073643410853*x       - we divide both sides of the equation by (3.1073643410853) to get x
100/3.1073643410853=x
32.181614070101=x
x=32.181614070101

now we have:
25.8 is 32.181614070101% of 80.17