Intangible Assets - Summary of Activity in Intangible Assets and Goodwill (Details) $ in Thousands	6 Months Ended
	Apr. 03, 2020 USD ($)
Goodwill and Intangible Assets [Roll Forward]
Beginning Balance	$ 428,952
Disposal of a fully amortized intangible asset	(248)
Currency translation adjustment	0
Ending Balance	428,704
Goodwill [Roll Forward]
Balance at beginning of period	314,727
Disposal of a fully amortized intangible asset	0
Currency translation adjustment	93
Balance at end of period	314,820
Trade Names
Indefinite Lived Intangible Assets Rollforward [Roll Forward]
Beginning Balance	3,400
Disposal of a fully amortized intangible asset	0
Currency translation adjustment	0
Ending Balance	3,400
Developed technology
Finite-lived Intangible Assets [Roll Forward]
Beginning Balance	179,682
Disposal of a fully amortized intangible asset	(248)
Currency translation adjustment	0
Ending Balance	179,434
Customer relationships
Finite-lived Intangible Assets [Roll Forward]
Beginning Balance	245,870
Disposal of a fully amortized intangible asset	0
Currency translation adjustment	0
Ending Balance	$ 245,870