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Goodwill and Intangible Assets - Schedule of Goodwill and Acquired Intangible Assets (Details) - USD ($) $ in Thousands | Jun. 30, 2022 | Sep. 30, 2021
--- | --- | ---
Goodwill (not amortized) | $ 2,382,680 | $ 2,191,887
Intangible assets with finite lives (amortized), Gross Carrying Amount | 1,162,438 | 1,112,070
Intangible assets with finite lives (amortized), Accumulated Amortization | 763,804 | 733,103
Intangible assets with finite lives (amortized), Net Book Value | 398,634 | 378,967
Intangible Assets, Net (Including Goodwill) | 2,781,314 | 2,570,854
Purchased Software |  |
Intangible assets with finite lives (amortized), Gross Carrying Amount | 503,579 | 483,771
Intangible assets with finite lives (amortized), Accumulated Amortization | 352,587 | 338,542
Intangible assets with finite lives (amortized), Net Book Value | 150,992 | 145,229
Capitalized Software |  |
Intangible assets with finite lives (amortized), Gross Carrying Amount | 22,877 | 22,877
Intangible assets with finite lives (amortized), Accumulated Amortization | 22,877 | 22,877
Intangible assets with finite lives (amortized), Net Book Value | 0 | 0
Customer Lists and Relationships |  |
Intangible assets with finite lives (amortized), Gross Carrying Amount | 604,261 | 574,516
Intangible assets with finite lives (amortized), Accumulated Amortization | 367,082 | 350,648
Intangible assets with finite lives (amortized), Net Book Value | 237,179 | 223,868
Trademarks and Trade Names |  |
Intangible assets with finite lives (amortized), Gross Carrying Amount | 27,865 | 26,906
Intangible assets with finite lives (amortized), Accumulated Amortization | 17,402 | 17,036
Intangible assets with finite lives (amortized), Net Book Value | 10,463 | 9,870
Other |  |
Intangible assets with finite lives (amortized), Gross Carrying Amount | 3,856 | 4,000
Intangible assets with finite lives (amortized), Accumulated Amortization | 3,856 | 4,000
Intangible assets with finite lives (amortized), Net Book Value | $ 0 | $ 0

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