Goodwill and Intangible Assets - Intangible Assets (Details) - USD ($) $ in Thousands	12 Months Ended
	Sep. 30, 2017	Oct. 01, 2016	Oct. 03, 2015
Finite-Lived Intangible Assets, Net [Abstract]
Gross Carrying Amount	$ 272,961	$ 87,016
Accumulated Amortization	(82,934)	(73,142)
Net	190,027	13,874
Amortization of intangible assets	60,600	8,500	$ 8,200
Finite-Lived Intangible Assets, Net, Amortization Expense, Fiscal Year Maturity [Abstract]
2018	56,655
2019	53,238
2020	45,799
2021	14,141
2022	3,695
Thereafter	10,067
Finite-Lived Intangible Assets excluding IPRD, Net	183,595
Existing technology
Finite-Lived Intangible Assets, Net [Abstract]
Gross Carrying Amount	208,341	70,664
Accumulated Amortization	(66,793)	(61,133)
Net	$ 141,548	9,531
Remaining amortization period	3 years 2 months 12 days
Patents
Finite-Lived Intangible Assets, Net [Abstract]
Gross Carrying Amount	$ 330	0
Accumulated Amortization	(58)	0
Net	$ 272	0
Remaining amortization period	4 years 1 month 6 days
Customer lists
Finite-Lived Intangible Assets, Net [Abstract]
Gross Carrying Amount	$ 51,687	15,968
Accumulated Amortization	(14,259)	(11,658)
Net	$ 37,428	4,310
Remaining amortization period	7 years 4 months 24 days
Trade name
Finite-Lived Intangible Assets, Net [Abstract]
Gross Carrying Amount	$ 6,171	384
Accumulated Amortization	(1,824)	(351)
Net	$ 4,347	33
Remaining amortization period	2 years 1 month 6 days
In-process research and development
Finite-Lived Intangible Assets, Net [Abstract]
Gross Carrying Amount	$ 6,432	0
Accumulated Amortization	0	0
Net	6,432	0
Foreign Exchange
Finite-Lived Intangible Assets, Net [Abstract]
Amortization of intangible assets	$ 4,800	$ 400