I'm glad to see the hiding rules cleaned up, but they still seem a little wonky. How about something more like this?
HIDING
To hide, you must roll a Dexterity (Stealth) check, which varies depending upon the conditions:
DC 10: Total cover or total darkness
DC 15: ¾ cover or heavy obscurement
DC 20: ½ cover or light obscurement
To spot you, other characters must make a Wisdom (Perception) check, which varies upon the conditions:
DC 10: ½ cover or light obscurement
DC 15: ¾ cover or heavy obscurement
DC 20: Total cover or total darkness
I'm not quite sure how invisibility would interact with this approach.