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Business Combinations - Goodwill (Details) - USD ($)
$ in Thousands
Mar. 31, 2024
Sep. 30, 2023
Feb. 03, 2023
Oct. 03, 2022
Business Combination, Goodwill [Abstract]        
Goodwill $ 681,140 $ 784,339    
Ziath Ltd and Subsidiaries        
Business Combination, Goodwill [Abstract]        
Goodwill     $ 12,000  
Goodwill deductible for tax purposes     $ 0  
B Medical Systems S.a.r.l and Subsidiaries        
Business Combination, Goodwill [Abstract]        
Goodwill deductible for tax purposes       $ 0