Income Taxes - Provision for Income Taxes (Details) - USD ($) $ in Millions	3 Months Ended								12 Months Ended
	Nov. 01, 2020	Aug. 02, 2020	May 03, 2020	Feb. 02, 2020	Nov. 03, 2019	Jul. 28, 2019	Apr. 28, 2019	Jan. 27, 2019	Nov. 01, 2020	Nov. 03, 2019	Oct. 28, 2018
Current:
U.S. - Federal									$ 273.2	$ 351.1	$ (244.5)
U.S. - State									9.0	1.9	6.0
Foreign									27.5	29.0	17.6
Total current									309.7	382.0	(220.9)
Deferred:
U.S. - Federal									(179.1)	(279.9)	(3.4)
U.S. - State									(4.1)	(0.6)	4.2
Foreign									7.6	(6.0)	2.9
Total deferred									(175.6)	(286.5)	3.7
Provision (credit) for income taxes	$ 58.2	$ 44.4	$ 5.4	$ 26.1	$ 24.1	$ 11.8	$ 35.7	$ 23.9	$ 134.1	$ 95.5	$ (217.2)