Other Comprehensive Income Items - After-Tax Changes (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Apr. 29, 2018	Apr. 30, 2017	Apr. 29, 2018	Apr. 30, 2017
After-tax changes in accumulated other comprehensive income (loss)
Balance			$ 3,657.2	$ 3,585.7
Net current period other comprehensive income (loss)	$ (12.3)	$ 7.2	24.0	3.6
Balance	3,834.8	3,488.1	3,834.8	3,488.1
Accumulated Other Comprehensive Income (Loss)
After-tax changes in accumulated other comprehensive income (loss)
Balance			(55.8)	(83.8)
Other comprehensive income (loss) items before reclassification			24.7	3.2
Amounts reclassified from accumulated other comprehensive income			(0.7)	0.4
Net current period other comprehensive income (loss)			24.0	3.6
Balance	(31.8)	(80.2)	(31.8)	(80.2)
Cumulative Translation Adjustment
After-tax changes in accumulated other comprehensive income (loss)
Balance			(60.0)	(84.1)
Other comprehensive income (loss) items before reclassification			13.8	1.6
Net current period other comprehensive income (loss)	(17.2)	7.4	13.8	1.6
Balance	(46.2)	(82.5)	(46.2)	(82.5)
Unrealized Gain (Loss) on Derivatives
After-tax changes in accumulated other comprehensive income (loss)
Balance			4.2	0.3
Other comprehensive income (loss) items before reclassification	5.6	(0.4)	10.9	1.6
Amounts reclassified from accumulated other comprehensive income			(0.7)	0.4
Net current period other comprehensive income (loss)	4.9	(0.2)	10.2	2.0
Balance	$ 14.4	$ 2.3	$ 14.4	$ 2.3