Other Comprehensive Income Items - After-Tax Components (Details) - USD ($) $ in Millions	Jan. 28, 2024	Oct. 29, 2023	Jan. 29, 2023
After-tax components of accumulated other comprehensive income (loss)
Total accumulated other comprehensive income (loss)	$ 5,872.9	$ 5,901.6	$ 4,873.9
Accumulated Other Comprehensive Income (Loss)
After-tax components of accumulated other comprehensive income (loss)
Total accumulated other comprehensive income (loss)	(92.6)	(104.4)	(52.4)
Cumulative Translation Adjustment
After-tax components of accumulated other comprehensive income (loss)
Total accumulated other comprehensive income (loss)	(110.0)	(136.8)	(102.8)
Unrealized Gain (Loss) on Derivatives
After-tax components of accumulated other comprehensive income (loss)
Total accumulated other comprehensive income (loss)	19.2	34.8	52.5
Unrealized Gain (Loss) on Debt Securities
After-tax components of accumulated other comprehensive income (loss)
Total accumulated other comprehensive income (loss)	$ (1.8)	$ (2.4)	$ (2.1)