Income Taxes - Provision for Income Taxes and Statutory and Effective (Details) - USD ($) $ in Millions	3 Months Ended								12 Months Ended
	Oct. 29, 2017	Jul. 30, 2017	Apr. 30, 2017	Jan. 29, 2017	Oct. 30, 2016	Jul. 31, 2016	May 01, 2016	Jan. 31, 2016	Oct. 29, 2017	Oct. 30, 2016	Nov. 01, 2015
Current:
U.S. - Federal									$ 50.0	$ (119.0)	$ 119.1
U.S. - State									3.1	4.4	5.4
Foreign									25.6	17.1	20.1
Total current									78.7	(97.5)	144.6
Deferred:
U.S. - Federal									93.5	273.4	121.2
U.S. - State									0.3	(0.7)	1.7
Foreign									(1.0)	5.1	2.4
Total deferred									92.8	277.8	125.3
Provision for income taxes	$ 51.6	$ 49.7	$ 36.6	$ 33.6	$ 40.9	$ 51.2	$ 39.3	$ 48.9	$ 171.5	$ 180.3	$ 269.9
Comparison of the Statutory and Effective Income Tax Provision
U.S. federal income tax provision statutory rate (as a percent)									35.00%	35.00%	35.00%
U.S. federal income tax provision at a statutory rate of 35 percent									$ 174.6	$ 182.0	$ 268.4
Increase (Decrease) Resulting from:
Tax rates on foreign earnings									(6.8)	(5.9)	(6.0)
Municipal lease income not taxable									(1.3)	(1.4)	(1.4)
State and local income taxes, net of federal income tax benefit									2.2	2.4	4.6
Other - net									2.8	3.2	4.3
Provision for income taxes	51.6	$ 49.7	$ 36.6	$ 33.6	$ 40.9	$ 51.2	$ 39.3	$ 48.9	171.5	$ 180.3	$ 269.9
Accumulated earnings of certain subsidiaries outside the U.S. for which no provision for U.S. income or foreign withholding taxes has been made	379.1								379.1
Provision for income and withholding taxes on accumulated earnings in certain subsidiaries outside the U.S.	0.0								0.0
Cash and cash equivalents held by foreign subsidiaries	$ 150.0								$ 150.0