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Goodwill and Other Identifiable Intangible Assets, Net (Details) - USD ($) $ in Thousands | 3 Months Ended | 6 Months Ended |
--- | --- | --- | ---
Mar. 31, 2020 | Mar. 31, 2019 | Mar. 31, 2020 | Mar. 31, 2019 | Sep. 30, 2019
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Gross carrying amount | $ 226,081 |  | $ 226,081 |  | $ 121,093
Accumulated amortization | (96,831) |  | (96,831) |  | (90,426)
Net | 129,250 |  | 129,250 |  | 30,667
Amortization expense |  |  | 6,564 | $ 4,609 |
Purchased and Core Technology |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Gross carrying amount | 75,662 |  | 75,662 |  | 57,699
Accumulated amortization | (52,802) |  | (52,802) |  | (50,986)
Net | 22,860 |  | 22,860 |  | 6,713
License Agreements |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Gross carrying amount | 102 |  | 102 |  | 102
Accumulated amortization | (88) |  | (88) |  | (74)
Net | 14 |  | 14 |  | 28
Patents and Trademarks |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Gross carrying amount | 22,662 |  | 22,662 |  | 14,577
Accumulated amortization | (12,667) |  | (12,667) |  | (11,970)
Net | 9,995 |  | 9,995 |  | 2,607
Customer Relationships |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Gross carrying amount | 125,255 |  | 125,255 |  | 46,315
Accumulated amortization | (29,084) |  | (29,084) |  | (25,266)
Net | 96,171 |  | 96,171 |  | 21,049
Non-compete Agreements |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Gross carrying amount | 600 |  | 600 |  | 600
Accumulated amortization | (390) |  | (390) |  | (330)
Net | 210 |  | 210 |  | 270
Order backlog |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Gross carrying amount | 1,800 |  | 1,800 |  | 1,800
Accumulated amortization | (1,800) |  | (1,800) |  | (1,800)
Net | 0 |  | 0 |  | $ 0
Cost of Sales and General and Administrative Expense |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Amortization expense | $ 4,100 | $ 2,100 | $ 6,600 | $ 4,600 |

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