How to get laptop display clean?

My laptop has such a matte display, so not as normal as glass… In any case, I can't clean it anymore. Have already tried microfibre cloth, eyeglass wipes and wet cloth with water but still have stains and greasers in it. What can you do without having to buy a special cleaner?

Wipe with dishwashing detergent and then wipe dry with a soft cloth.

With normal glass cleaner and kitchen roll.

Glass cleaner. Just do not spray so much that it comes in below.