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Goodwill and other Identifiable Intangible Assets (Details) - USD ($)
$ in Thousands
Sep. 30, 2020
Sep. 30, 2019
Finite-Lived Intangible Assets [Line Items]    
Gross carrying amount $ 225,059 $ 121,093
Accumulated amortization (103,811) (90,426)
Net 121,248 30,667
Purchased and Core Technology    
Finite-Lived Intangible Assets [Line Items]    
Gross carrying amount 76,011 57,699
Accumulated amortization (55,482) (50,986)
Net 20,529 6,713
License Agreements    
Finite-Lived Intangible Assets [Line Items]    
Gross carrying amount 112 102
Accumulated amortization (112) (74)
Net 0 28
Patents and Trademarks    
Finite-Lived Intangible Assets [Line Items]    
Gross carrying amount 22,836 14,577
Accumulated amortization (13,535) (11,970)
Net 9,301 2,607
Customer Relationships    
Finite-Lived Intangible Assets [Line Items]    
Gross carrying amount 125,500 46,315
Accumulated amortization (34,232) (25,266)
Net 91,268 21,049
Non-compete Agreements    
Finite-Lived Intangible Assets [Line Items]    
Gross carrying amount 600 600
Accumulated amortization (450) (330)
Net 150 270
Order backlog    
Finite-Lived Intangible Assets [Line Items]    
Gross carrying amount 0 1,800
Accumulated amortization 0 (1,800)
Net $ 0 $ 0