Toto uses several different fill valves, and the one they have made for them by Korky is easy to repair, if it is the valve that is leaking. If the valve is leaking, water in the thank would get high enough to go over the overflow tube. If it doesn't get that high, and it is still running, it is leaking out the flapper. So, if it's not overflowing into the overflow tube, replace the flapper. Lowes carries replacements or you can get them from a plumbing supply house. If the vavle is leaking, replacing the 'cap' should fix it.
It's kind of quick for the flapper to go bad. This can happen if you have really high chlorine levels in your water, or if you use any of those chemicals in the tank. If you're using anything in the tank, STOP.