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Financial Instruments and Financial Risk Management - Schedule of Fair Value and Fair Value Hierarchy of Tax Receivable Liability Carried at Amortized Cost (Details) - EUR (€)
€ in Thousands
Dec. 31, 2024
Sep. 30, 2024
Disclosure of fair value measurement of liabilities [line items]    
Tax receivable agreement liability € 360,620 € 344,590
Carrying Value | Level 3    
Disclosure of fair value measurement of liabilities [line items]    
Tax receivable agreement liability 377,331 359,890
Fair Value | Level 3    
Disclosure of fair value measurement of liabilities [line items]    
Tax receivable agreement liability € 383,207 € 382,619