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	Deferred Tax Asset [Domain]
Beginning balance at Sep. 30, 2016	$ 3,541.4	$ 46.2	$ (1,443.5)	$ 2,686.0	$ 2,263.6	$ (10.9)
Common stock, shares, outstanding beginning balance (in shares) at Sep. 30, 2016		184.9
Treasury stock, shares outstanding, beginning balance (in shares) at Sep. 30, 2016			37.6
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)
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
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)
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income	918.4				918.4
Exercise and settlement of share based awards and related tax benefit, net of shares withheld for taxes (in shares)		2.0	0.4
Exercise and settlement of share based awards and related tax benefit, net of shares withheld for taxes	10.3	$ 0.5	$ (48.0)	57.8
Share-based Compensation expense	$ 105.4			107.3
Share repurchase program (in shares)	(7.7)	(7.7)
Share repurchase program	$ (759.5)	$ (1.9)	$ (759.5)	1.9
Stock Repurchased During Period, Shares			7.7
Dividends declared	(243.2)				(243.2)
Stock Issued During Period, Value of Share Based Compensation, Pre-combination service on replacement awards	0.2
Other comprehensive income (loss)	$ (0.3)					(0.3)
Common stock, shares, outstanding ending balance (in shares) at Sep. 28, 2018	177.4	177.4
Treasury stock, shares outstanding, ending balance (in shares) at Sep. 28, 2018			51.0
Ending balance at Sep. 28, 2018	$ 4,097.0	$ 44.4	$ (2,732.5)	3,061.0	3,732.9	(8.8)
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Cumulative Effect of New Accounting Principle in Period of Adoption							$ (1.9)
Net income	853.6				853.6
Exercise and settlement of share based awards and related tax benefit, net of shares withheld for taxes (in shares)		1.6	0.3
Exercise and settlement of share based awards and related tax benefit, net of shares withheld for taxes	19.8	$ 0.3	$ (22.8)	42.2
Share-based Compensation expense	$ 82.5			82.5
Share repurchase program (in shares)	(8.9)	(8.9)
Share repurchase program	$ (657.6)	$ (2.2)	$ (657.6)	2.2
Stock Repurchased During Period, Shares			8.9
Dividends declared	(273.9)				(273.9)
Other comprehensive income (loss)	$ 0.8					0.8
Common stock, shares, outstanding ending balance (in shares) at Sep. 27, 2019	170.1	170.1
Treasury stock, shares outstanding, ending balance (in shares) at Sep. 27, 2019			60.1
Ending balance at Sep. 27, 2019	$ 4,122.3	$ 42.5	$ (3,412.9)	$ 3,188.0	$ 4,312.6	$ (7.9)