Open the Maytag dishwasher door and remove both dish racks. Unsnap the plastic stops from the end of the upper dish rack rails to remove the upper dish rack. You do not have to remove the upper dish rack if you can comfortably access the the manifold to the upper wash arm on the rear wall of the dishwasher.
Look for the seam where the two pieces of the manifold meet on the rear of the dishwasher. The manifold is the flat tube joining the upper spray arm with the lower spray arm and pump. On the left side of the seam, you should see two plastic locking tabs.
Spread the tabs apart with your fingers and rotate the plastic filter housing down. The filter housing sits inside the manifold and pivots down. Pull the old filter out of the housing.
Insert a new filter into the housing and push the housing back into the manifold until it snaps shut.
Place the dish racks back into the dishwasher and close the dishwasher door. If you remove the top dish rack, place the plastic caps back over the ends of the rails when installing the rack.