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Goodwill and Intangible Assets (Tables) | 3 Months Ended
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Dec. 28, 2019
Goodwill and Intangible Assets Disclosure [Abstract] |
Goodwill and Acquired Intangible Assets | Goodwill and acquired intangible assets consisted of the following:
(in thousands) | December 28, 2019 |  | September 30, 2019
| Gross Carrying Amount |  | Accumulated Amortization |  | Net Book Value |  | Gross Carrying Amount |  | Accumulated Amortization |  | Net Book Value
Goodwill (not amortized) |  |  |  |  | $ | 1,606,050 |  |  |  |  |  |  | $ | 1,238,179 |
Intangible assets with finite lives (amortized) (1): |  |  |  |  |  |  |  |  |  |  |
Purchased software | $ | 422,922 |  |  | $ | 286,307 |  |  | $ | 136,615 |  |  | $ | 377,359 |  |  | $ | 278,144 |  |  | $ | 99,215 |
Capitalized software | 22,877 |  |  | 22,877 |  |  | — |  |  | 22,877 |  |  | 22,877 |  |  | — |
Customer lists and relationships | 419,906 |  |  | 297,574 |  |  | 122,332 |  |  | 355,931 |  |  | 288,828 |  |  | 67,103 |
Trademarks and trade names | 22,597 |  |  | 15,535 |  |  | 7,062 |  |  | 18,891 |  |  | 15,260 |  |  | 3,631 |
Other | 3,946 |  |  | 3,946 |  |  | — |  |  | 3,910 |  |  | 3,910 |  |  | — |
| $ | 892,248 |  |  | $ | 626,239 |  |  | $ | 266,009 |  |  | $ | 778,968 |  |  | $ | 609,019 |  |  | $ | 169,949 |
Total goodwill and acquired intangible assets |  |  |  |  | $ | 1,872,059 |  |  |  |  |  |  | $ | 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 | 363,161 |  |  | — |  |  | 363,161 |
Foreign currency translation adjustment | 4,550 |  |  | 160 |  |  | 4,710 |
Balance, December 28, 2019 | $ | 1,563,775 |  |  | $ | 42,275 |  |  | $ | 1,606,050 |
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
| December 28, 2019 |  | December 29, 2018
Amortization of acquired intangible assets | $ | 6,777 |  |  | $ | 5,936 |
Cost of license revenue | 6,799 |  |  | 6,717 |
Total amortization expense | $ | 13,576 |  |  | $ | 12,653 |

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