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Goodwill and Other Identifiable Intangible Assets, Net (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Jun. 30, 2020	Jun. 30, 2019	Jun. 30, 2020	Jun. 30, 2019	Sep. 30, 2019
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	$ 226,288		$ 226,288		$ 121,093
Accumulated amortization	(101,059)		(101,059)		(90,426)
Net	125,229		125,229		30,667
Amortization expense			10,687	$ 6,669
Goodwill	206,693		206,693		153,422
Purchased and Core Technology
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	75,728		75,728		57,699
Accumulated amortization	(54,030)		(54,030)		(50,986)
Net	21,698		21,698		6,713
License Agreements
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	112		112		102
Accumulated amortization	(105)		(105)		(74)
Net	7		7		28
Patents and Trademarks
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	22,748		22,748		14,577
Accumulated amortization	(13,111)		(13,111)		(11,970)
Net	9,637		9,637		2,607
Customer Relationships
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	125,300		125,300		46,315
Accumulated amortization	(31,593)		(31,593)		(25,266)
Net	93,707		93,707		21,049
Non-compete Agreements
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	600		600		600
Accumulated amortization	(420)		(420)		(330)
Net	180		180		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	$ 10,700	$ 6,700

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