Tax Receivable Agreement - Additional Information (Details) € in Thousands, $ in Millions |
Oct. 10, 2023
EUR (€)
shares
|
Oct. 10, 2023
USD ($)
shares
|
Mar. 31, 2025
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 | € 35,598 | € 15,300 | ||
| Carrying Value | ||||
| Tax Receivable Agreement [Line Items] | ||||
| TRA liability | 373,700 | 359,900 | ||
| TRA liability current | € 35,600 | 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 |