12.25 is what percent of 25.75 - 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 25.75 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 25.75, so we can write it down as 100%=25.75.
4. We know, that x% equals 12.25 of the output value, so we can write it down as x%=12.25.
5. Now we have two simple equations:
1) 100%=25.75
2) x%=12.25
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%=25.75/12.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.25 is what percent of 25.75

100%/x%=25.75/12.25
(100/x)*x=(25.75/12.25)*x       - we multiply both sides of the equation by x
100=2.1020408163265*x       - we divide both sides of the equation by (2.1020408163265) to get x
100/2.1020408163265=x
47.572815533981=x
x=47.572815533981

now we have:
12.25 is 47.572815533981% of 25.75