Consolidated Statements Of Operations - USD ($) shares in Millions, $ in Millions	3 Months Ended		6 Months Ended
	Apr. 01, 2016	Apr. 03, 2015	Apr. 01, 2016	Apr. 03, 2015
Income Statement [Abstract]
Net revenue	$ 775.1	$ 762.1	$ 1,701.9	$ 1,567.6
Cost of goods sold	384.7	409.9	839.4	842.4
Gross profit	390.4	352.2	862.5	725.2
Operating expenses:
Research and development	79.8	75.5	161.3	144.0
Selling, general and administrative	44.0	47.4	95.7	95.3
Amortization of intangibles	8.6	8.3	17.0	16.8
Restructuring and other charges	0.3	1.1	0.3	2.4
Total operating expenses	132.7	132.3	274.3	258.5
Operating income	257.7	219.9	588.2	466.7
Other (expense) income, net	(2.6)	0.6	(3.4)	1.3
Merger termination fee	0.0	0.0	88.5	0.0
Income before income taxes	255.1	220.5	673.3	468.0
Provision for income taxes	47.0	54.0	109.9	106.3
Net income	$ 208.1	$ 166.5	$ 563.4	$ 361.7
Earnings per share:
Basic (in dollars per share)	$ 1.09	$ 0.88	$ 2.96	$ 1.91
Diluted (in dollars per share)	$ 1.08	$ 0.85	$ 2.90	$ 1.86
Weighted average shares:
Basic (in shares)	190.2	189.9	190.3	189.3
Diluted (in shares)	193.3	195.2	194.0	194.7
Cash dividends declared and paid per share (usd per share)	$ 0.26	$ 0.13	$ 0.52	$ 0.26