6 is what percent of 12.82 - 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 12.82 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 12.82, so we can write it down as 100%=12.82.
4. We know, that x% equals 6 of the output value, so we can write it down as x%=6.
5. Now we have two simple equations:
1) 100%=12.82
2) x%=6
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%=12.82/6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6 is what percent of 12.82

100%/x%=12.82/6
(100/x)*x=(12.82/6)*x       - we multiply both sides of the equation by x
100=2.1366666666667*x       - we divide both sides of the equation by (2.1366666666667) to get x
100/2.1366666666667=x
46.801872074883=x
x=46.801872074883

now we have:
6 is 46.801872074883% of 12.82