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Goodwill and Intangible Assets - Schedule of Goodwill and Acquired Intangible Assets (Details) - USD ($) $ in Thousands | Mar. 31, 2025 | Sep. 30, 2024
--- | --- | ---
Goodwill | $ 3,444,104 | $ 3,461,891
Intangible assets with finite lives, Gross Carrying Amount | 1,832,101 | 1,840,304
Intangible assets with finite lives, Accumulated Amortization | 976,307 | 942,828
Intangible assets with finite lives, Net Book Value | 855,794 | 897,476
Intangible Assets, Net (Including Goodwill) | 4,299,898 | 4,359,367
Purchased Software |  |
Intangible assets with finite lives, Gross Carrying Amount | 631,889 | 634,439
Intangible assets with finite lives, Accumulated Amortization | 451,196 | 436,471
Intangible assets with finite lives, Net Book Value | 180,693 | 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 | 1,135,655 | 1,141,086
Intangible assets with finite lives, Accumulated Amortization | 475,455 | 457,718
Intangible assets with finite lives, Net Book Value | 660,200 | 683,368
Trademarks and Trade Names |  |
Intangible assets with finite lives, Gross Carrying Amount | 37,780 | 37,961
Intangible assets with finite lives, Accumulated Amortization | 22,879 | 21,821
Intangible assets with finite lives, Net Book Value | 14,901 | 16,140
Other |  |
Intangible assets with finite lives, Gross Carrying Amount | 3,900 | 3,941
Intangible assets with finite lives, Accumulated Amortization | 3,900 | 3,941
Intangible assets with finite lives, Net Book Value | $ 0 | $ 0

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