12.67 is what percent of 11.73 - 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 11.73 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 11.73, so we can write it down as 100%=11.73.
4. We know, that x% equals 12.67 of the output value, so we can write it down as x%=12.67.
5. Now we have two simple equations:
1) 100%=11.73
2) x%=12.67
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%=11.73/12.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.67 is what percent of 11.73

100%/x%=11.73/12.67
(100/x)*x=(11.73/12.67)*x       - we multiply both sides of the equation by x
100=0.9258089976322*x       - we divide both sides of the equation by (0.9258089976322) to get x
100/0.9258089976322=x
108.0136402387=x
x=108.0136402387

now we have:
12.67 is 108.0136402387% of 11.73