If the screen is made of two parts in a frame (like the F/F2 ones), you need to take it apart first.
Then gently wash the parts in lukewarm water and a detergent (dishwashing liquid). A final rinse should be in a very dilute solution of Photoflo (if you have it), baby shampoo, very dilute wasing up liquid or similar (to avoid water drying marks but pure & diluted enough not to leave any traces of its own), shaken well and let dry in a clean place (do not touch surfaces after the first washing).
I've made many very grotty screens look new again this way (both glass and plastic - as long as they can be removed from the camera).
If the print is on the smooth side of a screen, then it can be wiped off without a complete washing (also possible if plastic, but veeery gently...).