12.51 is what percent of 26.49 - 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 26.49 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 26.49, so we can write it down as 100%=26.49.
4. We know, that x% equals 12.51 of the output value, so we can write it down as x%=12.51.
5. Now we have two simple equations:
1) 100%=26.49
2) x%=12.51
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%=26.49/12.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.51 is what percent of 26.49

100%/x%=26.49/12.51
(100/x)*x=(26.49/12.51)*x       - we multiply both sides of the equation by x
100=2.1175059952038*x       - we divide both sides of the equation by (2.1175059952038) to get x
100/2.1175059952038=x
47.22536806342=x
x=47.22536806342

now we have:
12.51 is 47.22536806342% of 26.49