Consolidated Statements of Stockholders' Equity and Comprehensive Income (Loss) Statement - USD ($) shares in Millions, $ in Millions	Total	Common Stock	Treasury Stock	Additional Paid-in Capital	Retained Earnings (Accumulated Deficit)	Accumulated Other Comprehensive Loss
Beginning balance at Oct. 03, 2014	$ 2,532.4	$ 47.3	$ (553.1)	$ 2,248.2	$ 794.9	$ (4.9)
Common stock, shares, outstanding beginning balance (in shares) at Oct. 03, 2014		189.2
Treasury stock, shares outstanding, beginning balance (in shares) at Oct. 03, 2014			25.0
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income	798.3				798.3
Exercise and settlement of share based awards and related tax benefit, net of shares withheld for taxes (in shares)		4.0	0.8
Exercise and settlement of share based awards and related tax benefit, net of shares withheld for taxes	103.5	$ 1.0	$ (54.2)	156.7
Share-based Compensation expense	89.6			89.6
Share repurchase program (in shares)		(2.9)
Share repurchase program	(237.3)	$ (0.7)	$ (237.3)	0.7
Stock Repurchased During Period, Shares			2.9
Dividends declared	(124.0)				(124.0)
Other comprehensive income (loss)	(3.3)					(3.3)
Common stock, shares, outstanding ending balance (in shares) at Oct. 02, 2015		190.3
Treasury stock, shares outstanding, ending balance (in shares) at Oct. 02, 2015			28.7
Ending balance at Oct. 02, 2015	3,159.2	$ 47.6	$ (844.6)	2,495.2	1,469.2	(8.2)
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income	995.2				995.2
Exercise and settlement of share based awards and related tax benefit, net of shares withheld for taxes (in shares)		2.6	0.9
Exercise and settlement of share based awards and related tax benefit, net of shares withheld for taxes	36.4	$ 0.6	$ (73.3)	109.1
Share-based Compensation expense	$ 79.7			79.7
Share repurchase program (in shares)	(8.0)	(8.0)
Share repurchase program	$ (525.6)	$ (2.0)	$ (525.6)	2.0
Stock Repurchased During Period, Shares			8.0
Dividends declared	(200.8)				(200.8)
Other comprehensive income (loss)	$ (2.7)					(2.7)
Common stock, shares, outstanding ending balance (in shares) at Sep. 30, 2016	184.9	184.9
Treasury stock, shares outstanding, ending balance (in shares) at Sep. 30, 2016			37.6
Ending balance at Sep. 30, 2016	$ 3,541.4	$ 46.2	$ (1,443.5)	2,686.0	2,263.6	(10.9)
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income	1,010.2				1,010.2
Exercise and settlement of share based awards and related tax benefit, net of shares withheld for taxes (in shares)		2.9	0.6
Exercise and settlement of share based awards and related tax benefit, net of shares withheld for taxes	69.7	$ 0.7	$ (49.2)	118.2
Share-based Compensation expense	$ 88.5			88.5
Share repurchase program (in shares)	(4.7)	(4.7)
Share repurchase program	$ (432.3)	$ (1.1)	$ (432.3)	1.1
Stock Repurchased During Period, Shares			4.7
Dividends declared	(214.2)				(214.2)
Other comprehensive income (loss)	$ 2.4					2.4
Common stock, shares, outstanding ending balance (in shares) at Sep. 29, 2017	183.1	183.1
Treasury stock, shares outstanding, ending balance (in shares) at Sep. 29, 2017			42.9
Ending balance at Sep. 29, 2017	$ 4,065.7	$ 45.8	$ (1,925.0)	$ 2,893.8	$ 3,059.6	$ (8.5)