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Intangible Assets - Summary of Intangible Assets (Details) - EUR (€)
€ in Thousands
12 Months Ended
Sep. 30, 2023
Sep. 30, 2022
Disclosure of detailed information about intangible assets [line items]    
Beginning balance € 1,815,201  
Ending balance 1,705,736 € 1,815,201
Cost    
Disclosure of detailed information about intangible assets [line items]    
Beginning balance 1,863,528 1,697,282
Additions 795 1,814
Disposals (5,175) (5)
Transfers 482  
Impact of foreign currency translation (43,638) 164,437
Ending balance 1,815,992 1,863,528
Accumulated Amortization    
Disclosure of detailed information about intangible assets [line items]    
Beginning balance (48,327) (11,491)
Amortization (28,572) (34,210)
Disposals 5,146  
Impact of foreign currency translation (38,504) (2,626)
Ending balance (110,257) (48,327)
Brands and Trademarks    
Disclosure of detailed information about intangible assets [line items]    
Beginning balance 1,506,113  
Ending balance 1,444,184 1,506,113
Brands and Trademarks | Cost    
Disclosure of detailed information about intangible assets [line items]    
Beginning balance 1,506,113 1,383,480
Impact of foreign currency translation (61,929) 122,633
Ending balance 1,444,184 1,506,113
Customer Relationships    
Disclosure of detailed information about intangible assets [line items]    
Beginning balance 305,010  
Ending balance 257,787 305,010
Customer Relationships | Cost    
Disclosure of detailed information about intangible assets [line items]    
Beginning balance 345,732 304,191
Impact of foreign currency translation (22,473) 41,541
Ending balance 323,259 345,732
Customer Relationships | Accumulated Amortization    
Disclosure of detailed information about intangible assets [line items]    
Beginning balance (40,722) (10,767)
Amortization (27,026) (27,491)
Impact of foreign currency translation 2,276 (2,464)
Ending balance (65,472) (40,722)
Intangible Assets under Development and Prepayments    
Disclosure of detailed information about intangible assets [line items]    
Beginning balance 585  
Ending balance 1,052 585
Intangible Assets under Development and Prepayments | Cost    
Disclosure of detailed information about intangible assets [line items]    
Beginning balance 5,731 4,329
Additions 716 1,407
Disposals (5,175) (5)
Transfers (220)  
Impact of foreign currency translation 0  
Ending balance 1,052 5,731
Intangible Assets under Development and Prepayments | Accumulated Amortization    
Disclosure of detailed information about intangible assets [line items]    
Beginning balance (5,146)  
Amortization   (5,146)
Disposals 5,146  
Ending balance   (5,146)
Other Intangible Assets    
Disclosure of detailed information about intangible assets [line items]    
Beginning balance 3,493  
Ending balance 2,713 3,493
Other Intangible Assets | Cost    
Disclosure of detailed information about intangible assets [line items]    
Beginning balance 5,952 5,282
Additions 79 407
Transfers 702  
Impact of foreign currency translation 40,765 263
Ending balance 47,498 5,952
Other Intangible Assets | Accumulated Amortization    
Disclosure of detailed information about intangible assets [line items]    
Beginning balance (2,459) (724)
Amortization (1,546) (1,573)
Impact of foreign currency translation (40,780) (162)
Ending balance € (44,785) € (2,459)