Other times you'll find lights on the power cord, especially if there's a 'brick' aspect of the cable. If you're using a Mac laptop with a magnetic charging cable, you'll see a light on the end of the cable where it connects to your computer (orange = charging, green = fully charged). Sometimes it'll be above the keyboard, other times it'll be on the side or back of the unit. Many laptops have a light somewhere on the machine that indicates whether it's receiving power.
If the laptop charges when connected elsewhere, the problem is not your computer or charger. Unplug the laptop, wait a few minutes, and then plug it into an outlet on a different wall or room.
Plug the laptop into a different power outlet.