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Goodwill and Intangible Assets (Tables) | 9 Months Ended
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Jun. 30, 2022
Goodwill And Intangible Assets Disclosure [Abstract] |
Schedule of Goodwill and Acquired Intangible Assets | Goodwill and acquired intangible assets consisted of the following:
(in thousands) |  | June 30, 2022 |  |  | September 30, 2021 |
|  | Gross Carrying Amount |  |  | Accumulated Amortization |  |  | Net Book Value |  |  | Gross Carrying Amount |  |  | Accumulated Amortization |  |  | Net Book Value |
Goodwill (not amortized) |  |  |  |  |  |  |  | $ | 2,382,680 |  |  |  |  |  |  |  |  | $ | 2,191,887 |
Intangible assets with finite lives (amortized): |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Purchased software |  |  | 503,579 |  |  |  | 352,587 |  |  |  | 150,992 |  |  | $ | 483,771 |  |  | $ | 338,542 |  |  | $ | 145,229 |
Capitalized software |  |  | 22,877 |  |  |  | 22,877 |  |  |  | — |  |  |  | 22,877 |  |  |  | 22,877 |  |  |  | — |
Customer lists and relationships |  |  | 604,261 |  |  |  | 367,082 |  |  |  | 237,179 |  |  |  | 574,516 |  |  |  | 350,648 |  |  |  | 223,868 |
Trademarks and trade names |  |  | 27,865 |  |  |  | 17,402 |  |  |  | 10,463 |  |  |  | 26,906 |  |  |  | 17,036 |  |  |  | 9,870 |
Other |  |  | 3,856 |  |  |  | 3,856 |  |  |  | — |  |  |  | 4,000 |  |  |  | 4,000 |  |  |  | — |
Total intangible assets with finite lives |  | $ | 1,162,438 |  |  | $ | 763,804 |  |  | $ | 398,634 |  |  | $ | 1,112,070 |  |  | $ | 733,103 |  |  | $ | 378,967 |
Total goodwill and acquired intangible assets |  |  |  |  |  |  |  | $ | 2,781,314 |  |  |  |  |  |  |  |  | $ | 2,570,854 |
Schedule of Changes in Goodwill by Reportable Segments | Changes in goodwill presented by reportable segments were as follows:
(in thousands) |  | Software Products |  |  | Professional Services |  |  | Total |
Balance, October 1, 2021 |  | $ | 2,148,968 |  |  | $ | 42,919 |  |  | $ | 2,191,887 |
Acquisition |  |  | 240,709 |  |  |  | — |  |  |  | 240,709 |
Divestiture of business |  |  | — |  |  |  | (32,992 | ) |  |  | (32,992 | )
Foreign currency translation adjustment |  |  | (16,755 | ) |  |  | (169 | ) |  |  | (16,924 | )
Balance, June 30, 2022 |  | $ | 2,372,922 |  |  | $ | 9,758 |  |  | $ | 2,382,680 |
Schedule of Aggregate Amortization Expense for Intangible Assets with Finite Lives | The aggregate amortization expense for intangible assets with finite lives is classified in our Consolidated Statements of Operations as follows:
(in thousands) |  | Three months ended |  |  | Nine months ended |
|  | June 30, 2022 |  |  | June 30, 2021 |  |  | June 30, 2022 |  |  | June 30, 2021 |
Amortization of acquired intangible assets |  | $ | 8,931 |  |  | $ | 7,511 |  |  | $ | 25,865 |  |  | $ | 21,708 |
Cost of license revenue |  |  | 6,596 |  |  |  | 8,260 |  |  |  | 19,010 |  |  |  | 21,644 |
Total amortization expense |  | $ | 15,527 |  |  | $ | 15,771 |  |  | $ | 44,875 |  |  | $ | 43,352 |

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