Income Taxes - Statutory and Effective Income Tax Provision (Details) - USD ($) $ in Millions			3 Months Ended								12 Months Ended
	Jan. 01, 2018	Dec. 31, 2017	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
Comparison of the Statutory and Effective Income Tax Provision
Federal corporate statutory tax rate (as a percent)	21.00%	35.00%									21.00%	23.30%	35.00%
U.S. federal income tax provision at a statutory rate (2019 - 21 percent, 2018 - 23.3 percent, 2017 - 35 percent)											$ 107.7	$ 135.3	$ 174.6
Increase (Decrease) Resulting from:
Net deferred tax liability remeasurement											4.8	(362.9)
Deemed earnings repatriation tax											(13.9)	20.6
Other effects of tax reform												(8.5)
Tax rates on foreign earnings											4.4	2.1	(6.8)
Municipal lease income not taxable											(0.8)	(0.8)	(1.3)
State and local income taxes, net of federal income tax benefit											1.0	7.8	2.2
Other - net											(7.7)	(10.8)	2.8
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
Accumulated earnings of certain subsidiaries outside the U.S. for which no provision for U.S. income or foreign withholding taxes has been made			$ 31.3								31.3
Provision for foreign withholding taxes for earnings expected to remain indefinitely reinvested outside the U.S.											$ 0.0