Is the stain growing quickly or is it more of a slow process? That'll give you important clues. If the wall is wet without visible droplets and the stain is getting worse, there's likely a leak inside the wall. Condensation typically leaves the surface damp but doesn't soak the wall like that, and besides you'd see it during times of temperature changes (when it's cold and the air is humid). A leak in a pipe, even a small one, soaks through the entire depth of the material and the stain grows because water keeps seeping through.
What you should do is touch the wall with your hand: if it's cold or extremely cold in that spot compared to the rest, it's probably condensation. But if it's warm or at normal temperature and the moisture persists or grows, it's almost certainly a leak. Also check if it smells moldy or if the paint is peeling; that means it's been wet for a while. Turn off the main water valve for a bit (an hour or so) and see if the stain stops growing; if it does, that confirms it's a leak.
I'd recommend calling a plumber to check it with specialized equipment. Waiting isn't an option because if the leak continues, the water damages the structure, promotes mold (which is a health problem) and your water bill is going to surprise you. They can often find the leak without needing to open up the whole wall - sometimes just by opening a small section where the stain is biggest.