35 is what percent of 12.667 - 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 12.667 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 12.667, so we can write it down as 100%=12.667.
4. We know, that x% equals 35 of the output value, so we can write it down as x%=35.
5. Now we have two simple equations:
1) 100%=12.667
2) x%=35
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%=12.667/35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35 is what percent of 12.667

100%/x%=12.667/35
(100/x)*x=(12.667/35)*x       - we multiply both sides of the equation by x
100=0.36191428571429*x       - we divide both sides of the equation by (0.36191428571429) to get x
100/0.36191428571429=x
276.30851819689=x
x=276.30851819689

now we have:
35 is 276.30851819689% of 12.667