Tax Receivable Agreement - Additional Information (Details) € in Thousands, $ in Millions	Oct. 10, 2023 EUR (€) shares	Oct. 10, 2023 USD ($) shares	Dec. 31, 2024 EUR (€)	Sep. 30, 2024 EUR (€)
Tax Receivable Agreement [Line Items]
Payments to the tax receivable agreement (tra)	85.00%	85.00%
Benefit of the remaining applicable tax savings	15.00%	15.00%
Future payments expected to be made under Tax Receivable Agreement	€ 298,900	$ 239.4
Future expected period of payment to be made under tax receivable agreement	12 years	12 years
TRA liability current			€ 16,711	€ 15,300
Carrying Value
Tax Receivable Agreement [Line Items]
TRA liability			377,300	359,900
TRA liability current			€ 16,700	15,300
Level 3 \| Fair Value
Tax Receivable Agreement [Line Items]
TRA liability	€ 355,800			€ 343,600
Ordinary Shares
Tax Receivable Agreement [Line Items]
Shares repurchased of ordinary shares \| shares	5,648,465	5,648,465