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Goodwill and Intangible Assets (Tables) | 6 Months Ended
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Mar. 31, 2018
Goodwill and Intangible Assets Disclosure [Abstract] |
Goodwill and Acquired Intangible Assets | Goodwill and acquired intangible assets consisted of the following:
| March 31, 2018 |  | September 30, 2017
| Gross Carrying Amount |  | Accumulated Amortization |  | Net Book Value |  | Gross Carrying Amount |  | Accumulated Amortization |  | Net Book Value
| (in thousands)
Goodwill (not amortized) |  |  |  |  | $ | 1,191,603 |  |  |  |  |  |  | $ | 1,182,772 |
Intangible assets with finite lives (amortized) (1): |  |  |  |  |  |  |  |  |  |  |
Purchased software | $ | 365,904 |  |  | $ | 243,809 |  |  | $ | 122,095 |  |  | $ | 362,955 |  |  | $ | 228,377 |  |  | $ | 134,578 |
Capitalized software | 22,877 |  |  | 22,877 |  |  | — |  |  | 22,877 |  |  | 22,877 |  |  | — |
Customer lists and relationships | 362,895 |  |  | 259,569 |  |  | 103,326 |  |  | 359,932 |  |  | 241,554 |  |  | 118,378 |
Trademarks and trade names | 19,270 |  |  | 14,661 |  |  | 4,609 |  |  | 19,138 |  |  | 14,186 |  |  | 4,952 |
Other | 4,096 |  |  | 4,096 |  |  | — |  |  | 4,030 |  |  | 4,030 |  |  | — |
| $ | 775,042 |  |  | $ | 545,012 |  |  | $ | 230,030 |  |  | $ | 768,932 |  |  | $ | 511,024 |  |  | $ | 257,908 |
Total goodwill and acquired intangible assets |  |  |  |  | $ | 1,421,633 |  |  |  |  |  |  | $ | 1,440,680 |
(1) The weighted-average useful lives of purchased software, customer lists and relationships, and trademarks and trade names with a remaining net book value are 9 years, 10 years, and 10 years, respectively.
Schedule of Goodwill | Changes in goodwill presented by reportable segments were as follows:
| Software Products |  | Professional Services |  | Total
| (in thousands)
Balance, October 1, 2017 | $ | 1,152,917 |  |  | $ | 29,855 |  |  | $ | 1,182,772 |
Acquisition | 4,350 |  |  | — |  |  | 4,350 |
Foreign currency translation adjustment | 4,368 |  |  | 113 |  |  | 4,481 |
Balance, March 31, 2018 | $ | 1,161,635 |  |  | $ | 29,968 |  |  | $ | 1,191,603 |
Amortization of Intangible Assets | The aggregate amortization expense for intangible assets with finite lives was classified in our Consolidated Statements of Operations as follows:
| Three months ended |  | Six months ended
| March 31, 2018 |  | April 1, 2017 |  | March 31, 2018 |  | April 1, 2017
| (in thousands)
Amortization of acquired intangible assets | $ | 7,895 |  |  | $ | 7,946 |  |  | $ | 15,716 |  |  | $ | 16,013 |
Cost of license and subscription revenue | 6,556 |  |  | 6,389 |  |  | 13,231 |  |  | 12,777 |
Total amortization expense | $ | 14,451 |  |  | $ | 14,335 |  |  | $ | 28,947 |  |  | $ | 28,790 |

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