Sounds like it is coming from the inlet valve, it is not fully shutting off as it closes, untill the tank fills a bit more and raises the float valve, new rubber washers on the inlet valve should fix it, but you can not take them apart with out shutting off the water supply to the toilet. It is not really a problem, just noisy.
In the 70s when I was in Blighty, I was suprised to see all the buildings that had signs on the out side advertizing that they had toilets, I knew at that thim, central heating was a big thing, but I was sure that toilets were not that new, then I fugured out that it was just the dumb kid from the wild west. I stopped and actuall read the sign once, and realized that there was no "i" in "to let" in our part of the world the sign would have read "for rent"
Best
Gus
Ps a thought just occured to me, is the float partially filled with water, thus reducing its boyancy, you should be able to tell by flushing and while the tank is empty, raise the float and shake it to see if it has water in it, the solution would be to get a replace ment float of the same design (making it easy to change out, usuall they have a threaded socket that screws onto the rod)