25.5 is what percent of 82.25 - 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 82.25 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 82.25, so we can write it down as 100%=82.25.
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%=82.25
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%=82.25/25.5
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 82.25

100%/x%=82.25/25.5
(100/x)*x=(82.25/25.5)*x       - we multiply both sides of the equation by x
100=3.2254901960784*x       - we divide both sides of the equation by (3.2254901960784) to get x
100/3.2254901960784=x
31.003039513678=x
x=31.003039513678

now we have:
25.5 is 31.003039513678% of 82.25