In Hungary, the rent is typically wet and based on engine hours.
If you stick to a C172, try to get in touch with someone speaking English here:
"Kék Ég" Repülő Sportegyesület - Pilóta képzés, repülőgépes túrák, sétarepülés
This club has a very old 172 (HA-SUN), rental was around 110 EUR/hour some years back, worth to check again. But you must also factor in at least 3 months of club membership, last time it was 20 EUR/month.
Others major operators to check:
Fly-Coop Budapest airline transport pilot trainings
Flyteam
CAVOK Aviation Training | HU.ATO.053
If you are OK with plastic airplanes, you can get an older DV20 Diamond Katana at 92 EUR/hour here, if you pay 10 hours in advance (normal rate 100 EUR/hour).
Pannonair
These are based around the capital city.