Measure the kitchen backsplash in sections. Measure from the top of the counter to the underside of the cabinet or hood, and measure the length of each run.
Lay the vinyl on a template area of the floor to determine the best layout of the tiles. Most backsplashes measure 18-inches in height, and vinyl tiles measure 12-inches. Try laying a full tile against the counter with the cut tile above in one row, and the full tile below the cabinet and the cut tile below on the next row as an alternating pattern. Alternatively, try laying out the vinyl tiles on the diagonal, with one full tile in the center and cut tiles above and below.
Cut the tiles to fit the backsplash and to fit around any outlets with a vinyl tile cutter. A vinyl tile cutter works similar to a paper cutter; lay the vinyl tile on the plate and push the handle down to make the cuts. Push the handle down only part way to make cutouts for the outlets.
Sand down your wall before installing the vinyl tiles. Vinyl is thin and flexible and will show any bumps or imperfections on the wall. Use a fine grade of sandpaper to create a smooth surface.
Remove the backing on the vinyl tiles and press them onto the backsplash in the same pattern you determined on the floor. Use a rolling pin to apply pressure to the tiles and help the adhesive bond to the wall.