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Goodwill and Other Identifiable Intangible Assets, Net (Details) - USD ($)
$ in Thousands
3 Months Ended 9 Months Ended
Jun. 30, 2019
Jun. 30, 2018
Jun. 30, 2019
Jun. 30, 2018
Sep. 30, 2018
Finite-Lived Intangible Assets [Line Items]          
Gross carrying amount $ 121,399   $ 121,399   $ 122,910
Accumulated amortization (88,608)   (88,608)   (83,590)
Net 32,791   32,791   39,320 [1]
Amortization expense     6,669 $ 6,866 [1]  
Purchased and Core Technology          
Finite-Lived Intangible Assets [Line Items]          
Gross carrying amount 57,888   57,888   58,102
Accumulated amortization (50,455)   (50,455)   (48,693)
Net 7,433   7,433   9,409
License Agreements          
Finite-Lived Intangible Assets [Line Items]          
Gross carrying amount 102   102   102
Accumulated amortization (67)   (67)   (46)
Net 35   35   56
Patents and Trademarks          
Finite-Lived Intangible Assets [Line Items]          
Gross carrying amount 14,552   14,552   15,701
Accumulated amortization (11,725)   (11,725)   (12,242)
Net 2,827   2,827   3,459
Customer Relationships          
Finite-Lived Intangible Assets [Line Items]          
Gross carrying amount 46,457   46,457   46,605
Accumulated amortization (24,261)   (24,261)   (21,049)
Net 22,196   22,196   25,556
Non-compete Agreements          
Finite-Lived Intangible Assets [Line Items]          
Gross carrying amount 600   600   600
Accumulated amortization (300)   (300)   (210)
Net 300   300   390
Order backlog          
Finite-Lived Intangible Assets [Line Items]          
Gross carrying amount 1,800   1,800   1,800
Accumulated amortization (1,800)   (1,800)   (1,350)
Net 0   0   $ 450
Cost of Sales and General and Administrative Expense          
Finite-Lived Intangible Assets [Line Items]          
Amortization expense $ 2,100 $ 2,600 $ 6,700 $ 6,900  
[1] Prior period information has been restated for the adoption of ASU No. 2014-09, “Revenue from Contracts with Customers (Topic 606),” which we adopted on October 1, 2018.