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This can be hard in a large group of people.   You will want to get up without attracting attention. Try quickly walking away while the people around you are distracted. But watch where you are going, so you don't bump into someone on accident.  Remain calm. If you seem nervous, people are more likely to notice. If you don't know the people around you, try to walk slowly so you don't attract attention. If you do know the people, try to make a hasty retreat to the bathroom. Don't slouch or cover the spot, because if you do, you will likely attract attention and receive questions. This can be an easy way to cover the wet spot on your pants so you can get to the bathroom. It's best to tie it from the back because that's how normal people tie it. If you have a shirt that is long enough, pull it down so it can cover your front area.   Wrap the jacket around your waist. Remain calm so you don't look suspicious. Act like nothing is wrong. Calmly get to a bathroom or get home. This generally only works if you are at a restaurant or if you have a drink in your hand, and this can be a good cover if you don't have a jacket to cover your pants.  This will give an excuse to why your pants are wet before you can excuse yourself to the restroom. Make a joke that you are clumsy and laugh it off like spilling the drink was an accident. Excuse yourself to the restroom to clean up. You can see if you can clean up the stain or if you need to go home.  Look in the mirror or get into a stall for more privacy. If the stain is minor, you can try cleaning it up. If not, make some excuse to go home. Try to make an excuse to leave such as "I needed to be home by a certain time" or "I have homework to do" as well as research.
Excuse yourself from what you are doing. Cover your pants with a jacket or sweater. Spill your drink on your lap. Get to a bathroom as fast as possible.