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Goodwill and Intangible Assets (Tables) | 6 Months Ended
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Mar. 28, 2020
Goodwill and Intangible Assets Disclosure [Abstract] |
Goodwill and Acquired Intangible Assets | Goodwill and acquired intangible assets consisted of the following:
(in thousands) | March 28, 2020 |  | September 30, 2019
| Gross Carrying Amount |  | Accumulated Amortization |  | Net Book Value |  | Gross Carrying Amount |  | Accumulated Amortization |  | Net Book Value
Goodwill (not amortized) |  |  |  |  | $ | 1,603,081 |  |  |  |  |  |  | $ | 1,238,179 |
Intangible assets with finite lives (amortized): |  |  |  |  |  |  |  |  |  |  |
Purchased software | $ | 427,092 |  |  | $ | 292,756 |  |  | $ | 134,336 |  |  | $ | 377,359 |  |  | $ | 278,144 |  |  | $ | 99,215 |
Capitalized software | 22,877 |  |  | 22,877 |  |  | — |  |  | 22,877 |  |  | 22,877 |  |  | — |
Customer lists and relationships | 413,054 |  |  | 303,095 |  |  | 109,959 |  |  | 355,931 |  |  | 288,828 |  |  | 67,103 |
Trademarks and trade names | 22,524 |  |  | 15,628 |  |  | 6,896 |  |  | 18,891 |  |  | 15,260 |  |  | 3,631 |
Other | 3,942 |  |  | 3,942 |  |  | — |  |  | 3,910 |  |  | 3,910 |  |  | — |
| $ | 889,489 |  |  | $ | 638,298 |  |  | $ | 251,191 |  |  | $ | 778,968 |  |  | $ | 609,019 |  |  | $ | 169,949 |
Total goodwill and acquired intangible assets |  |  |  |  | $ | 1,854,272 |  |  |  |  |  |  | $ | 1,408,128 |
Schedule of Goodwill | Changes in goodwill presented by reportable segments were as follows:
(in thousands) | Software Products |  | Professional Services |  | Total
Balance, October 1, 2019 | $ | 1,196,064 |  |  | $ | 42,115 |  |  | $ | 1,238,179 |
Onshape acquisition | 364,910 |  |  | — |  |  | 364,910 |
Foreign currency translation adjustment | (8 | ) |  | — |  |  | (8 | )
Balance, March 28, 2020 | $ | 1,560,966 |  |  | $ | 42,115 |  |  | $ | 1,603,081 |
Amortization of Intangible Assets | The aggregate amortization expense for intangible assets with finite lives was classified in our Consolidated Statements of Operations as follows:
(in thousands) | Three months ended |  | Six months ended
| March 28, 2020 |  | March 30, 2019 |  | March 28, 2020 |  | March 30, 2019
Amortization of acquired intangible assets | $ | 7,288 |  |  | $ | 5,930 |  |  | $ | 14,065 |  |  | $ | 11,866 |
Cost of license revenue | 6,879 |  |  | 6,842 |  |  | 13,678 |  |  | 13,559 |
Total amortization expense | $ | 14,167 |  |  | $ | 12,772 |  |  | $ | 27,743 |  |  | $ | 25,425 |

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