31.68 is what percent of 12 - 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 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, so we can write it down as 100%=12.
4. We know, that x% equals 31.68 of the output value, so we can write it down as x%=31.68.
5. Now we have two simple equations:
1) 100%=12
2) x%=31.68
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%=12/31.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.68 is what percent of 12

100%/x%=12/31.68
(100/x)*x=(12/31.68)*x       - we multiply both sides of the equation by x
100=0.37878787878788*x       - we divide both sides of the equation by (0.37878787878788) to get x
100/0.37878787878788=x
264=x
x=264

now we have:
31.68 is 264% of 12