Other Comprehensive Income Items - After-Tax Changes (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	May 02, 2021	May 03, 2020	May 02, 2021	May 03, 2020
After-tax changes in accumulated other comprehensive income (loss)
Balance			$ 4,296.6
Net current period other comprehensive income (loss)	$ 5.9	$ (25.9)	44.7	$ (31.4)
Balance	4,524.0	3,995.7	4,524.0	3,995.7
Accumulated Other Comprehensive Income (Loss)
After-tax changes in accumulated other comprehensive income (loss)
Balance			(77.8)	(97.4)
Other comprehensive income (loss) items before reclassification			39.5	(35.4)
Amounts reclassified from accumulated other comprehensive income			5.2	4.0
Net current period other comprehensive income (loss)	5.9	(25.9)	44.7	(31.4)
Balance	(33.1)	(128.8)	(33.1)	(128.8)
Cumulative Translation Adjustment
After-tax changes in accumulated other comprehensive income (loss)
Balance			(69.5)	(88.4)
Other comprehensive income (loss) items before reclassification			39.3	(21.8)
Net current period other comprehensive income (loss)			39.3	(21.8)
Balance	(30.2)	(110.2)	(30.2)	(110.2)
Unrealized Gain (Loss) on Derivatives
After-tax changes in accumulated other comprehensive income (loss)
Balance			(6.7)	(7.0)
Other comprehensive income (loss) items before reclassification			0.1	(13.0)
Amounts reclassified from accumulated other comprehensive income			5.2	4.0
Net current period other comprehensive income (loss)			5.3	(9.0)
Balance	(1.4)	(16.0)	(1.4)	(16.0)
Unrealized Gain (Loss) on Debt Securities
After-tax changes in accumulated other comprehensive income (loss)
Balance			(1.6)	(2.0)
Other comprehensive income (loss) items before reclassification			0.1	(0.6)
Net current period other comprehensive income (loss)			0.1	(0.6)
Balance	$ (1.5)	$ (2.6)	$ (1.5)	$ (2.6)