You can also purchase a water meter to tell you how many gallons you're putting into the tank. It can be an inexpensive battery operated one that you use occasionally, or a somewhat more expensive flow meter like I have, that's on my system all the time. With my meter, I can monitor how many gallons have flowed through my filter system, as well.
Simplest way is to take a bucket of known volume, say 5 gallons, and fill it from your water source while timing it. Then you'll have a pretty good idea of how many gallons per minute you are putting into the tank. Helpful to know if you're using the tank flush system to put water back in after dumping, too. Different campgrounds may have different pressures and flow rates, too.
But, as Dan said, never, repeat never, walk away while you're running water into the tank. It can be a nasty wake up call. Fortunately, I've not experienced that, only a mess (clean water) when the tank flush anti-siphon valve blew inside a wall.