Other Comprehensive Income Items - After-Tax Components (Details) - USD ($) $ in Millions	Oct. 29, 2023	Oct. 30, 2022	Oct. 31, 2021
After-tax components of accumulated other comprehensive income (loss)
Total accumulated other comprehensive income (loss)	$ 5,901.6	$ 4,684.0
Accumulated Other Comprehensive Income (Loss)
After-tax components of accumulated other comprehensive income (loss)
Total accumulated other comprehensive income (loss)	(104.4)	(104.7)	$ (49.4)
Cumulative Translation Adjustment
After-tax components of accumulated other comprehensive income (loss)
Total accumulated other comprehensive income (loss)	(136.8)	(169.0)	(54.5)
Unrealized Gain (Loss) on Derivatives
After-tax components of accumulated other comprehensive income (loss)
Total accumulated other comprehensive income (loss)	34.8	66.8	6.8
Unrealized Gain (Loss) on Debt Securities
After-tax components of accumulated other comprehensive income (loss)
Total accumulated other comprehensive income (loss)	$ (2.4)	$ (2.5)	$ (1.7)