Other Comprehensive Income Items - After-Tax Changes (Details) - USD ($) $ in Millions	3 Months Ended
	Jan. 31, 2021	Feb. 02, 2020
After-tax changes in accumulated other comprehensive income (loss)
Balance	$ 4,296.6
Net current period other comprehensive income (loss)	38.8	$ (5.5)
Balance	4,340.9	4,095.7
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	35.4	(6.4)
Amounts reclassified from accumulated other comprehensive income	3.4	0.9
Net current period other comprehensive income (loss)	38.8	(5.5)
Balance	(39.0)	(102.9)
Cumulative Translation Adjustment
After-tax changes in accumulated other comprehensive income (loss)
Balance	(69.5)	(88.4)
Other comprehensive income (loss) items before reclassification	35.7	(4.8)
Net current period other comprehensive income (loss)	35.7	(4.8)
Balance	(33.8)	(93.2)
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	(0.4)	(1.2)
Amounts reclassified from accumulated other comprehensive income	3.4	0.9
Net current period other comprehensive income (loss)	3.0	(0.3)
Balance	(3.7)	(7.3)
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	(0.4)
Net current period other comprehensive income (loss)	0.1	(0.4)
Balance	$ (1.5)	$ (2.4)