Before removing the old fill valve, you'll want to purchase a replacement part that matches. If you know the model number of toilet you have, you can potentially find a replacement that way.
If adjusting the float doesn’t do the trick, you may have a leaking fill valve might be beyond saving. Replacing it is straightforward but has a few basic steps. Related: How to Change a Toilet ...
“This customer’s toilet ... fill valve and also installed a new supply line. “These are really a single-use item,” he says, adding that they should be replaced if disconnected and older ...