Before removing the adhesive backing, cut a single strip to length and test fit. Trim the strip so that it is snug and not bulging, but has no obvious gaps. Note when cutting to length, err on the long side so you can trim the strip.
Once you are happy with the fit, begin at one end of the strip and install by removing the adhesive backing and pressing the strip into place. The adhesive is along the circumference of the grove in the lid.
Press firmly to ensure a good bond.
And you're done. All you needed was a kinfe or a pair of scissors and weather stripping.