25.5 is what percent of 31.04 - 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 31.04 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 31.04, so we can write it down as 100%=31.04.
4. We know, that x% equals 25.5 of the output value, so we can write it down as x%=25.5.
5. Now we have two simple equations:
1) 100%=31.04
2) x%=25.5
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%=31.04/25.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25.5 is what percent of 31.04

100%/x%=31.04/25.5
(100/x)*x=(31.04/25.5)*x       - we multiply both sides of the equation by x
100=1.2172549019608*x       - we divide both sides of the equation by (1.2172549019608) to get x
100/1.2172549019608=x
82.15206185567=x
x=82.15206185567

now we have:
25.5 is 82.15206185567% of 31.04