For the most part, this puzzle is self explanitory. Fit your correct colors in the bottom ring, then fill in the ring with at least 6 of the 8 before even considering the middle. one thing to watch for is to try and not put a color under a hole needed for that same color in one of the higher rings. This helps avoid stacking colors and running into the unintentional clear. This is sometimes unavoidable, especially if it's not your first puzzle set.
Repeat this process for the middle ring... filling in the needed spots and then fill in the rest with other colors. Again try and not stack a color on top of the same color.
Constant incred trick:
Easy way to get constant increds is to use the pause (Esc). You will need to do 3 or 4 puzzles during the first league of your trip to get the sparkly stars in the upper right. Every league thereafter, you will only need to do one per league, then pause. Occasionally, the sparkle will die down to just yellow and you may have to do a second puzzle. You should get constant increds. You may have to get your experience up to Narrow or Broad for it to sustain this.
This is a great little trick for racing or moving commods, but I'm thinking it's not great for boosting your stats. You will likely be hanging at the bottom of the Incred catagory which is enough to get you Leg, but not Ult. Like most puzzles, your rating is computed by your score over the time you are actively doing the puzzle. So you will be spending the majority of your time puzzling during the first league when your score isn't as high.