Other Comprehensive Income Items - After-Tax Changes (Details) - USD ($) $ in Millions	12 Months Ended
	Oct. 28, 2018	Oct. 29, 2017	Oct. 30, 2016
After-tax changes in accumulated other comprehensive income (loss)
Balance	$ 3,657.2	$ 3,585.7	$ 3,749.8
Current period activity	(11.6)	28.0	(20.7)
Balance	4,070.0	3,657.2	3,585.7
Cumulative Translation Adjustment
After-tax changes in accumulated other comprehensive income (loss)
Balance	(60.0)	(84.1)	(60.4)
Current period activity	(20.7)	24.1	(23.7)
Balance	(80.7)	(60.0)	(84.1)
Unrealized Gain (Loss) on Derivatives
After-tax changes in accumulated other comprehensive income (loss)
Balance	4.2	0.3	(2.7)
Current period activity	9.1	3.9	3.0
ASU No. 2018-02	1.5
Balance	$ 14.8	$ 4.2	$ 0.3