Mop the wood floor with trisodium phosphate mixed with water, following the manufacturer's directions. This will remove dirt, grease and oil, which will help the adhesive stick better.
Measure each wall with a tape measure and mark the center point with a small nail hammered into the floor right next to the baseboard.
Attach a chalk snap line to the nail along one wall and to the nail on the wall directly opposite, keeping the line taut. Pick it up about an inch off the floor and let it drop, effectively snapping it. This will leave chalk residue on the floor. Repeat with the other two walls, making a line perpendicular to the first one. This will break up the room into quadrants.
Lay the first tile into the corner of one quadrant, lining it up with the chalk lines. Peel the adhesive off and press the tile securely into the floor. Continue laying tiles from wall to wall along the chalk line.
Lay a row of tiles along the second chalk line, following the same procedure used in Step 4.
Lay all of the peel-and-stick tiles in one quadrant before moving on to the next one.
Cut any tiles at the perimeter of the room or around architectural details, using a razor blade-filled utility knife. Score the surface of the tile along the cut line, and snap it apart with your hands.