Consolidated Statements of Changes in Stockholders' Equity Statement - USD ($) $ in Millions	Total	Preferred Stock [Member]	Common Stock [Member]	Additional Paid in Capital - Common Stock [Member]	Retained Earnings [Member]	Accumulated Other Comprehensive Loss [Member]	Treasury Stock, Common	Total Stockholders' Equity
Balance at Jan. 30, 2022		$ 0.0	$ 87.1	$ 3,198.4	$ 4,562.8	$ (612.7)	$ (1,946.8)	$ 5,288.8
Balance (in shares) at Jan. 30, 2022			87,107,155
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income	$ 133.1				133.1			133.1
Foreign currency translation adjustments	(131.8)					(131.8)		(131.8)
Net unrealized and realized (loss) gain related to cash flow hedges, net of tax (benefit) expense	25.8					25.8		25.8
Net (loss) gain on net investment hedges, net of tax (benefit) expense	50.2					50.2		50.2
Comprehensive income	$ 77.3							77.3
Settlement of awards under stock plans (in shares)			157,495
Settlement of awards under stock plans			$ 0.2	(0.1)				0.1
Stock-based compensation expense				10.1				10.1
Common Stock, Dividends, Per Share, Declared	$ 0.0375
Dividends declared ($0.0375 per common share)					(2.6)			(2.6)
Acquisition of treasury shares during period							(105.2)	(105.2)
Balance at May. 01, 2022	$ 5,268.5	0.0	$ 87.3	3,208.4	4,693.3	(668.5)	(2,052.0)	5,268.5
Balance (in shares) at May. 01, 2022	87,264,650		87,264,650
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Retained earnings	$ 4,693.3
Retained earnings	4,753.1
Balance at Jan. 29, 2023	$ 5,012.7	0.0	$ 87.6	3,244.5	4,753.1	(713.1)	(2,359.4)	5,012.7
Balance (in shares) at Jan. 29, 2023	87,641,611		87,641,611
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income	$ 136.0				136.0			136.0
Foreign currency translation adjustments	(16.7)					(16.7)		(16.7)
Net unrealized and realized (loss) gain related to cash flow hedges, net of tax (benefit) expense	(2.0)					(2.0)		(2.0)
Net (loss) gain on net investment hedges, net of tax (benefit) expense	(9.8)					(9.8)		(9.8)
Comprehensive income	$ 107.5							107.5
Settlement of awards under stock plans (in shares)			132,809
Settlement of awards under stock plans			$ 0.2	(0.1)				0.1
Stock-based compensation expense				13.1				13.1
Common Stock, Dividends, Per Share, Declared	$ 0.0375
Dividends declared ($0.0375 per common share)					(2.4)			(2.4)
Acquisition of treasury shares during period							(4.6)	(4.6)
Balance at Apr. 30, 2023	$ 5,126.4	$ 0.0	$ 87.8	$ 3,257.5	$ 4,886.7	$ (741.6)	$ (2,364.0)	$ 5,126.4
Balance (in shares) at Apr. 30, 2023	87,774,420		87,774,420
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Retained earnings	$ 4,886.7