Consolidated Income Statements - USD ($) shares in Millions, $ in Millions	3 Months Ended												12 Months Ended
	Feb. 03, 2018	Oct. 28, 2017	Jul. 29, 2017	Apr. 29, 2017	Jan. 28, 2017	Oct. 29, 2016	Jul. 30, 2016	Apr. 30, 2016	Jan. 30, 2016	Oct. 31, 2015	Aug. 01, 2015	May 02, 2015	Feb. 03, 2018	Jan. 28, 2017	Jan. 30, 2016
Income Statement [Abstract]
Sales	$ 2,293.1	$ 1,156.9	$ 1,399.6	$ 1,403.4	$ 2,269.9	$ 1,186.2	$ 1,373.4	$ 1,578.9					$ 6,253.0	$ 6,408.4	$ 6,550.2
Cost of sales													(4,063.0)	(4,047.6)	(4,109.8)
Gross margin	919.8	321.1	457.9	491.2	945.5	350.0	464.9	600.4					2,190.0	2,360.8	2,440.4
Selling, general and administrative expenses													(1,872.2)	(1,880.2)	(1,987.6)
Credit transaction, net													1.3	0.0	0.0
Other operating income, net													260.8	282.6	250.9
Operating income													579.9	763.2	703.7
Interest expense, net													(52.7)	(49.4)	(45.9)
Income before income taxes													527.2	713.8	657.8
Income taxes													(7.9)	(170.6)	(189.9)
Net income	$ 343.0	$ (12.1)	$ 85.2	$ 70.3	$ 287.8	$ 14.8	$ 81.9	$ 146.8					519.3	543.2	467.9
Dividends on redeemable convertible preferred shares													(32.9)	(11.9)	0.0
Net income attributable to common shareholders													$ 486.4	$ 531.3	$ 467.9
Earnings per common share:
Earnings per share: basic (usd per share)	$ 5.70	$ (0.20)	$ 1.34	$ 1.03	$ 4.17	$ 0.20	$ 1.06	$ 1.87					$ 7.72	$ 7.13	$ 5.89
Earnings per share: diluted (usd per share)	5.24	(0.20)	1.33	1.03	3.92	0.20	1.06	1.87					$ 7.44	$ 7.08	$ 5.87
Weighted average common shares outstanding:
Weighted average common shares outstanding: basic (in shares)													63.0	74.5	79.5
Weighted average common shares outstanding: diluted (in shares)													69.8	76.7	79.7
Dividends declared per common share (usd per share)	$ 0.31	$ 0.31	$ 0.31	$ 0.31	$ 0.26	$ 0.26	$ 0.26	$ 0.26	$ 0.22	$ 0.22	$ 0.22	$ 0.22	$ 1.24	$ 1.04	$ 0.88