Goodwill and Other Intangible Assets - Other Intangible Assets (Details) - USD ($) $ in Thousands |
Jun. 30, 2025 |
Sep. 30, 2024 |
|---|---|---|
| Other Intangible Assets [Abstract] | ||
| Carrying Amount | $ 223,785 | $ 581,691 |
| Accumulated Amortization | (139,945) | (455,665) |
| Net | 83,840 | 126,026 |
| Definite-lived trade names | ||
| Other Intangible Assets [Abstract] | ||
| Carrying Amount | 26,176 | 151,598 |
| Accumulated Amortization | (21,513) | (127,829) |
| Net | 4,663 | 23,769 |
| Customer relationships | ||
| Other Intangible Assets [Abstract] | ||
| Carrying Amount | 150,628 | 380,387 |
| Accumulated Amortization | (104,363) | (311,621) |
| Net | 46,265 | 68,766 |
| Copyrights/patents/other | ||
| Other Intangible Assets [Abstract] | ||
| Carrying Amount | 16,441 | 19,166 |
| Accumulated Amortization | (14,069) | (16,215) |
| Net | 2,372 | 2,951 |
| Indefinite-lived trade names | ||
| Other Intangible Assets [Abstract] | ||
| Carrying Amount | 30,540 | 30,540 |
| Accumulated Amortization | 0 | 0 |
| Net | $ 30,540 | $ 30,540 |