12.46 is what percent of 12.89 - 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 12.89 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 12.89, so we can write it down as 100%=12.89.
4. We know, that x% equals 12.46 of the output value, so we can write it down as x%=12.46.
5. Now we have two simple equations:
1) 100%=12.89
2) x%=12.46
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%=12.89/12.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.46 is what percent of 12.89

100%/x%=12.89/12.46
(100/x)*x=(12.89/12.46)*x       - we multiply both sides of the equation by x
100=1.0345104333868*x       - we divide both sides of the equation by (1.0345104333868) to get x
100/1.0345104333868=x
96.6640806827=x
x=96.6640806827

now we have:
12.46 is 96.6640806827% of 12.89