Goodwill and Intangible Assets - Goodwill, Changes in Carrying Values (Details) $ in Thousands	3 Months Ended
	Dec. 31, 2021 USD ($)
Goodwill [Roll Forward]
Beginning balance	$ 2,155,270
Purchase accounting adjustments	150
Effect of foreign currency translation	(762)
Ending balance	2,154,658
Healthcare
Goodwill [Roll Forward]
Beginning balance	1,453,836
Purchase accounting adjustments	150
Effect of foreign currency translation	(1,745)
Ending balance	1,452,241
Enterprise
Goodwill [Roll Forward]
Beginning balance	688,163
Purchase accounting adjustments	0
Effect of foreign currency translation	896
Ending balance	689,059
Other
Goodwill [Roll Forward]
Beginning balance	13,271
Purchase accounting adjustments	0
Effect of foreign currency translation	87
Ending balance	$ 13,358