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

7. Solution for 2 is what percent of 12.25

100%/x%=12.25/2
(100/x)*x=(12.25/2)*x       - we multiply both sides of the equation by x
100=6.125*x       - we divide both sides of the equation by (6.125) to get x
100/6.125=x
16.3265306122=x
x=16.3265306122

now we have:
2 is 16.3265306122% of 12.25