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Goodwill and Intangible Assets - Schedule of Goodwill and Acquired Intangible Assets (Details) - USD ($) $ in Thousands | Jun. 30, 2025 | Sep. 30, 2024
--- | --- | ---
Goodwill | $ 3,497,012 | $ 3,461,891
Intangible assets with finite lives, Gross Carrying Amount | 1,855,330 | 1,840,304
Intangible assets with finite lives, Accumulated Amortization | 1,010,511 | 942,828
Intangible assets with finite lives, Net Book Value | 844,819 | 897,476
Intangible Assets, Net (Including Goodwill) | 4,341,831 | 4,359,367
Purchased Software |  |
Intangible assets with finite lives, Gross Carrying Amount | 639,597 | 634,439
Intangible assets with finite lives, Accumulated Amortization | 464,507 | 436,471
Intangible assets with finite lives, Net Book Value | 175,090 | 197,968
Capitalized Software |  |
Intangible assets with finite lives, Gross Carrying Amount | 22,877 | 22,877
Intangible assets with finite lives, Accumulated Amortization | 22,877 | 22,877
Intangible assets with finite lives, Net Book Value | 0 | 0
Customer Lists and Relationships |  |
Intangible assets with finite lives, Gross Carrying Amount | 1,150,597 | 1,141,086
Intangible assets with finite lives, Accumulated Amortization | 495,329 | 457,718
Intangible assets with finite lives, Net Book Value | 655,268 | 683,368
Trademarks and Trade Names |  |
Intangible assets with finite lives, Gross Carrying Amount | 38,233 | 37,961
Intangible assets with finite lives, Accumulated Amortization | 23,772 | 21,821
Intangible assets with finite lives, Net Book Value | 14,461 | 16,140
Other |  |
Intangible assets with finite lives, Gross Carrying Amount | 4,026 | 3,941
Intangible assets with finite lives, Accumulated Amortization | 4,026 | 3,941
Intangible assets with finite lives, Net Book Value | $ 0 | $ 0

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