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Goodwill and Acquired Intangible Assets (Tables) | 12 Months Ended
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Sep. 30, 2019
Goodwill and Intangible Assets Disclosure [Abstract] |
Goodwill And Acquired Intangible Assets | Goodwill and acquired intangible assets consisted of the following:
(in thousands) | September 30, 2019 |  | September 30, 2018
| Gross Carrying Amount |  | Accumulated Amortization |  | Net Book Value |  | Gross Carrying Amount |  | Accumulated Amortization |  | Net Book Value
Goodwill (not amortized) |  |  |  |  | $ | 1,238,179 |  |  |  |  |  |  | $ | 1,182,457 |
Intangible assets with finite lives (amortized) (1): |  |  |  |  |  |  |  |  |  |  |
Purchased software | $ | 377,359 |  |  | $ | 278,144 |  |  | $ | 99,215 |  |  | $ | 362,679 |  |  | $ | 254,059 |  |  | $ | 108,620 |
Capitalized software | 22,877 |  |  | 22,877 |  |  | — |  |  | 22,877 |  |  | 22,877 |  |  | — |
Customer lists and relationships | 355,931 |  |  | 288,828 |  |  | 67,103 |  |  | 357,586 |  |  | 270,272 |  |  | 87,314 |
Trademarks and trade names | 18,891 |  |  | 15,260 |  |  | 3,631 |  |  | 19,054 |  |  | 14,786 |  |  | 4,268 |
Other | 3,910 |  |  | 3,910 |  |  | — |  |  | 4,003 |  |  | 4,003 |  |  | — |
| $ | 778,968 |  |  | $ | 609,019 |  |  | $ | 169,949 |  |  | $ | 766,199 |  |  | $ | 565,997 |  |  | $ | 200,202 |
Total goodwill and acquired intangible assets |  |  |  |  | $ | 1,408,128 |  |  |  |  |  |  | $ | 1,382,659 |
(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 11 years, respectively.
Schedule Of Movements in Goodwill by Reportable Segment | Changes in goodwill presented by reportable segment were as follows:
(in thousands) | Software Products |  | Professional Services |  | Total
Balance, September 30, 2017 | $ | 1,152,917 |  |  | $ | 29,855 |  |  | $ | 1,182,772 |
Acquisition | 4,350 |  |  | — |  |  | 4,350 |
Foreign currency translation adjustments | (4,547 | ) |  | (118 | ) |  | (4,665 | )
Balance, September 30, 2018 | $ | 1,152,720 |  |  | $ | 29,737 |  |  | $ | 1,182,457 |
Frustum acquisition | 53,673 |  |  | — |  |  | 53,673 |
Other acquisitions | — |  |  | 12,645 |  |  | 12,645 |
Foreign currency translation adjustments | (10,329 | ) |  | (267 | ) |  | (10,596 | )
Balance, September 30, 2019 | $ | 1,196,064 |  |  | $ | 42,115 |  |  | $ | 1,238,179 |
Amortization Of Intangible Assets | The aggregate amortization expense for intangible assets with finite lives recorded for the years ended September 30, 2019, 2018 and 2017 was reflected in our Consolidated Statements of Operations as follows:
(in thousands) | Year ended September 30,
| 2019 |  | 2018 |  | 2017
Amortization of acquired intangible assets | $ | 23,841 |  |  | $ | 31,350 |  |  | $ | 32,108 |
Cost of software revenue | 27,307 |  |  | 26,706 |  |  | 26,621 |
Total amortization expense | $ | 51,148 |  |  | $ | 58,056 |  |  | $ | 58,729 |

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