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Goodwill and Intangible Assets (Tables) | 9 Months Ended
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Jun. 30, 2021
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, 2021 |  |  | September 30, 2020 |
|  | Gross Carrying Amount |  |  | Accumulated Amortization |  |  | Net Book Value |  |  | Gross Carrying Amount |  |  | Accumulated Amortization |  |  | Net Book Value |
Goodwill (not amortized) |  |  |  |  |  |  |  |  |  | $ | 2,197,313 |  |  |  |  |  |  |  |  |  |  | $ | 1,625,786 |
Intangible assets with finite lives (amortized): |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Purchased software |  | $ | 484,810 |  |  | $ | 331,711 |  |  | $ | 153,099 |  |  | $ | 443,275 |  |  | $ | 309,124 |  |  | $ | 134,151 |
Capitalized software |  |  | 22,877 |  |  |  | 22,877 |  |  |  | — |  |  |  | 22,877 |  |  |  | 22,877 |  |  |  | — |
Customer lists and relationships |  |  | 576,985 |  |  |  | 345,518 |  |  |  | 231,467 |  |  |  | 418,953 |  |  |  | 322,092 |  |  |  | 96,861 |
Trademarks and trade names |  |  | 26,990 |  |  |  | 16,874 |  |  |  | 10,116 |  |  |  | 22,687 |  |  |  | 16,129 |  |  |  | 6,558 |
Other |  |  | 4,035 |  |  |  | 4,035 |  |  |  | — |  |  |  | 4,017 |  |  |  | 4,017 |  |  |  | — |
Total intangible assets with finite lives |  | $ | 1,115,697 |  |  | $ | 721,015 |  |  | $ | 394,682 |  |  | $ | 911,809 |  |  | $ | 674,239 |  |  | $ | 237,570 |
Total goodwill and acquired intangible assets |  |  |  |  |  |  |  |  |  | $ | 2,591,995 |  |  |  |  |  |  |  |  |  |  | $ | 1,863,356 |
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, 2020 |  | $ | 1,583,316 |  |  | $ | 42,470 |  |  | $ | 1,625,786 |
Arena acquisition |  |  | 562,838 |  |  |  | — |  |  |  | 562,838 |
Other acquisitions |  |  | 963 |  |  |  | 400 |  |  |  | 1,363 |
Foreign currency translation adjustment |  |  | 7,135 |  |  |  | 191 |  |  |  | 7,326 |
Balance, June 30, 2021 |  | $ | 2,154,252 |  |  | $ | 43,061 |  |  | $ | 2,197,313 |
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, 2021 |  |  | June 27, 2020 |  |  | June 30, 2021 |  |  | June 27, 2020 |
Amortization of acquired intangible assets |  | $ | 7,511 |  |  | $ | 7,302 |  |  | $ | 21,708 |  |  | $ | 21,367 |
Cost of license revenue |  |  | 8,260 |  |  |  | 6,857 |  |  |  | 21,644 |  |  |  | 20,535 |
Total amortization expense |  | $ | 15,771 |  |  | $ | 14,159 |  |  | $ | 43,352 |  |  | $ | 41,902 |

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