Property and Equipment (Details) - USD ($) $ in Thousands	12 Months Ended
	Sep. 30, 2022	Sep. 30, 2021	Sep. 30, 2020
Property, Plant and Equipment, Net, by Type [Abstract]
Property and equipment, at cost	$ 3,206,660	$ 3,015,669
Accumulated depreciation	(1,562,870)	(1,484,050)
Property and equipment, net	1,643,790	1,531,619
Finance lease, right-of-use asset	97,800	105,200
Depreciation expense	101,100	103,800	$ 107,600
Impairment of tangible assets	23,565	0	0
Inspire Korea Project
Property, Plant and Equipment, Net, by Type [Abstract]
Capitalized interest	22,300	0	$ 7,600
Land
Property, Plant and Equipment, Net, by Type [Abstract]
Property and equipment, at cost	44,848	44,848
Land improvements
Property, Plant and Equipment, Net, by Type [Abstract]
Property and equipment, at cost	103,134	102,820
Buildings and improvements
Property, Plant and Equipment, Net, by Type [Abstract]
Property and equipment, at cost	1,869,455	1,860,005
Furniture and equipment
Property, Plant and Equipment, Net, by Type [Abstract]
Property and equipment, at cost	764,356	752,087
Construction in process
Property, Plant and Equipment, Net, by Type [Abstract]
Property and equipment, at cost	424,867	255,909
Construction in process | Inspire Korea Project
Property, Plant and Equipment, Net, by Type [Abstract]
Property and equipment, at cost	$ 385,700	$ 233,500