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Goodwill and Intangible Assets (Tables) | 3 Months Ended
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Dec. 31, 2020
Goodwill And Intangible Assets Disclosure [Abstract] |
Schedule of Goodwill and Acquired Intangible Assets | Goodwill and acquired intangible assets consisted of the following:
(in thousands) |  | December 31, 2020 |  |  | September 30, 2020 |
|  | Gross Carrying Amount |  |  | Accumulated Amortization |  |  | Net Book Value |  |  | Gross Carrying Amount |  |  | Accumulated Amortization |  |  | Net Book Value |
Goodwill (not amortized) |  |  |  |  |  |  |  |  |  | $ | 1,635,281 |  |  |  |  |  |  |  |  |  |  | $ | 1,625,786 |
Intangible assets with finite lives (amortized): |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Purchased software |  | $ | 446,336 |  |  | $ | 317,753 |  |  | $ | 128,583 |  |  | $ | 443,275 |  |  | $ | 309,124 |  |  | $ | 134,151 |
Capitalized software |  |  | 22,877 |  |  |  | 22,877 |  |  |  | — |  |  |  | 22,877 |  |  |  | 22,877 |  |  |  | — |
Customer lists and relationships |  |  | 423,719 |  |  |  | 332,787 |  |  |  | 90,932 |  |  |  | 418,953 |  |  |  | 322,092 |  |  |  | 96,861 |
Trademarks and trade names |  |  | 22,854 |  |  |  | 16,473 |  |  |  | 6,381 |  |  |  | 22,687 |  |  |  | 16,129 |  |  |  | 6,558 |
Other |  |  | 4,082 |  |  |  | 4,082 |  |  |  | — |  |  |  | 4,017 |  |  |  | 4,017 |  |  |  | — |
Total intangible assets with finite lives |  | $ | 919,868 |  |  | $ | 693,972 |  |  | $ | 225,896 |  |  | $ | 911,809 |  |  | $ | 674,239 |  |  | $ | 237,570 |
Total goodwill and acquired intangible assets |  |  |  |  |  |  |  |  |  | $ | 1,861,177 |  |  |  |  |  |  |  |  |  |  | $ | 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 |
Foreign currency translation adjustment |  |  | 9,247 |  |  |  | 248 |  |  |  | 9,495 |
Balance, December 31, 2020 |  | $ | 1,592,563 |  |  | $ | 42,718 |  |  | $ | 1,635,281 |
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 |
|  | December 31, 2020 |  |  | December 28, 2019 |
Amortization of acquired intangible assets |  | $ | 6,547 |  |  | $ | 6,777 |
Cost of license revenue |  |  | 6,267 |  |  |  | 6,799 |
Total amortization expense |  | $ | 12,814 |  |  | $ | 13,576 |

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