Income Taxes - Provision for Income Taxes (Details) - USD ($) $ in Millions	3 Months Ended								12 Months Ended
	Nov. 03, 2019	Jul. 28, 2019	Apr. 28, 2019	Jan. 27, 2019	Oct. 28, 2018	Jul. 29, 2018	Apr. 29, 2018	Jan. 28, 2018	Nov. 03, 2019	Oct. 28, 2018	Oct. 29, 2017
Current:
U.S. - Federal									$ 351.1	$ (244.5)	$ 50.0
U.S. - State									1.9	6.0	3.1
Foreign									29.0	17.6	25.6
Total current									382.0	(220.9)	78.7
Deferred:
U.S. - Federal									(279.9)	(3.4)	93.5
U.S. - State									(0.6)	4.2	0.3
Foreign									(6.0)	2.9	(1.0)
Total deferred									(286.5)	3.7	92.8
Provision (credit) for income taxes	$ 24.1	$ 11.8	$ 35.7	$ 23.9	$ 3.1	$ 30.0	$ 6.6	$ (256.9)	$ 95.5	$ (217.2)	$ 171.5