25 is what percent of 55.12 - 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 55.12 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 55.12, so we can write it down as 100%=55.12.
4. We know, that x% equals 25 of the output value, so we can write it down as x%=25.
5. Now we have two simple equations:
1) 100%=55.12
2) x%=25
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%=55.12/25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25 is what percent of 55.12

100%/x%=55.12/25
(100/x)*x=(55.12/25)*x       - we multiply both sides of the equation by x
100=2.2048*x       - we divide both sides of the equation by (2.2048) to get x
100/2.2048=x
45.355587808418=x
x=45.355587808418

now we have:
25 is 45.355587808418% of 55.12