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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. 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
Comparison of the Statutory and Effective Income Tax Provision                          
Federal corporate statutory tax rate (as a percent) 21.00% 35.00%                 21.00% 21.00% 23.30%
U.S. federal income tax provision at a statutory rate (2020 - 21 percent, 2019 - 21 percent, 2018 - 23.3 percent)                     $ 116.9 $ 107.7 $ 135.3
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                     5.8 4.4 2.1
Municipal lease income not taxable                     (0.9) (0.8) (0.8)
State and local income taxes, net of federal income tax benefit                     3.8 1.0 7.8
Other - net                     8.5 (7.7) (10.8)
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)
Accumulated earnings of certain subsidiaries outside the U.S. for which no provision for U.S. income or foreign withholding taxes has been made     $ 51.6               51.6    
Provision for foreign withholding taxes for earnings expected to remain indefinitely reinvested outside the U.S.                     $ 0.0