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Related Party - Additional Information (Details) - EUR (€)
 3 Months Ended
Dec. 31, 2024
Dec. 31, 2023
Sep. 30, 2024
Disclosure of transactions between related parties [line items]      
Non-employee director cash compensation per year € 100,000 € 100,000  
Right of use Assets 177,280,000   € 171,334,000
Ockenfels      
Disclosure of transactions between related parties [line items]      
Lease payments 100,000 100,000  
Lease liability 1,200,000   1,300,000
Right of use Assets 1,100,000   1,200,000
Outstanding payables 2,000,000   1,800,000
Outstanding receivables 9,800,000   9,800,000
Restricted Share Units      
Disclosure of transactions between related parties [line items]      
Expenses recognized during period 100,000 100,000  
Other related parties [member]      
Disclosure of transactions between related parties [line items]      
Marketing expenses 100,000 0  
Lease liability 100,000   200,000
Right of use Assets 100,000   200,000
Consulting fees and cost reimbursements 100,000 100,000  
Sales 100,000 100,000  
TRA liability 377,300,000   € 359,900,000
Director compensation € 100,000 € 100,000