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	$ 5,288.8	$ 0.0	$ 87.1	$ 3,198.4	$ 4,562.8	$ (612.7)	$ (1,946.8)
Balance (in shares) at Jan. 30, 2022			87,107,155
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income (loss)					133.1			$ 133.1
Foreign currency translation adjustments						(131.8)		(131.8)
Net unrealized and realized gain related to effective cash flow hedges, net of tax expense						25.8		25.8
Net gain on net investment hedges, net of tax expense						50.2		50.2
Comprehensive income (loss)								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)
Balance (in shares) at May. 01, 2022			87,264,650
Balance at Jan. 30, 2022	5,288.8	0.0	$ 87.1	3,198.4	4,562.8	(612.7)	(1,946.8)
Balance (in shares) at Jan. 30, 2022			87,107,155
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income (loss)	61.7
Foreign currency translation adjustments	(357.9)
Net unrealized and realized gain related to effective cash flow hedges, net of tax expense	41.7
Net gain on net investment hedges, net of tax expense	99.6
Comprehensive income (loss)	(154.9)
Balance at Oct. 30, 2022	$ 4,822.8	0.0	$ 87.6	3,233.2	4,616.8	(829.3)	(2,285.5)
Balance (in shares) at Oct. 30, 2022	87,619,250		87,619,250
Balance at May. 01, 2022	$ 5,268.5	0.0	$ 87.3	3,208.4	4,693.3	(668.5)	(2,052.0)
Balance (in shares) at May. 01, 2022			87,264,650
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income (loss)					115.3			115.3
Foreign currency translation adjustments						(92.0)		(92.0)
Net unrealized and realized gain related to effective cash flow hedges, net of tax expense						5.5		5.5
Net gain on net investment hedges, net of tax expense						28.6		28.6
Comprehensive income (loss)								57.4
Settlement of awards under stock plans (in shares)			245,128
Settlement of awards under stock plans			$ 0.2	(0.2)				0.0
Stock-based compensation expense				12.7				12.7
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							(129.6)	(129.6)
Balance at Jul. 31, 2022	$ 5,206.4	0.0	$ 87.5	3,220.9	4,806.0	(726.4)	(2,181.6)
Balance (in shares) at Jul. 31, 2022			87,509,778
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income (loss)	(186.7)				(186.7)			(186.7)
Foreign currency translation adjustments	(134.1)					(134.1)		(134.1)
Net unrealized and realized gain related to effective cash flow hedges, net of tax expense	10.4					10.4		10.4
Net gain on net investment hedges, net of tax expense	20.8					20.8		20.8
Comprehensive income (loss)	$ (289.6)							(289.6)
Settlement of awards under stock plans (in shares)			109,472
Settlement of awards under stock plans			$ 0.1	(0.2)				(0.1)
Stock-based compensation expense				12.5				12.5
Common Stock, Dividends, Per Share, Declared	$ 0.0375
Dividends declared ($0.0375 per common share)					(2.5)			(2.5)
Acquisition of treasury shares during period							(103.9)	(103.9)
Balance at Oct. 30, 2022	$ 4,822.8	0.0	$ 87.6	3,233.2	4,616.8	(829.3)	(2,285.5)
Balance (in shares) at Oct. 30, 2022	87,619,250		87,619,250
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Retained earnings	$ 4,616.8
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)
Balance (in shares) at Jan. 29, 2023	87,641,611		87,641,611
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income (loss)					136.0			136.0
Foreign currency translation adjustments						(16.7)		(16.7)
Net unrealized and realized gain related to effective cash flow hedges, net of tax expense						(2.0)		(2.0)
Net gain on net investment hedges, net of tax expense						(9.8)		(9.8)
Comprehensive income (loss)								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)
Balance (in shares) at Apr. 30, 2023			87,774,420
Balance at Jan. 29, 2023	$ 5,012.7	0.0	$ 87.6	3,244.5	4,753.1	(713.1)	(2,359.4)
Balance (in shares) at Jan. 29, 2023	87,641,611		87,641,611
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income (loss)	$ 391.8
Foreign currency translation adjustments	(150.2)
Net unrealized and realized gain related to effective cash flow hedges, net of tax expense	23.0
Net gain on net investment hedges, net of tax expense	35.6
Comprehensive income (loss)	300.2
Balance at Oct. 29, 2023	$ 5,054.3	0.0	$ 88.3	3,283.3	5,137.8	(804.7)	(2,650.4)
Balance (in shares) at Oct. 29, 2023	88,324,255		88,324,255
Balance at Apr. 30, 2023	$ 5,126.4	0.0	$ 87.8	3,257.5	4,886.7	(741.6)	(2,364.0)
Balance (in shares) at Apr. 30, 2023			87,774,420
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income (loss)					94.2			94.2
Foreign currency translation adjustments						21.1		21.1
Net unrealized and realized gain related to effective cash flow hedges, net of tax expense						0.3		0.3
Net gain on net investment hedges, net of tax expense						(2.9)		(2.9)
Comprehensive income (loss)								112.7
Settlement of awards under stock plans (in shares)			386,966
Settlement of awards under stock plans			$ 0.4	(0.4)				0.0
Stock-based compensation expense				14.3				14.3
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							(213.4)	(213.4)
Balance at Jul. 30, 2023	$ 5,037.6	0.0	$ 88.2	3,271.4	4,978.5	(723.1)	(2,577.4)
Balance (in shares) at Jul. 30, 2023			88,161,386
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income (loss)	161.6				161.6			161.6
Foreign currency translation adjustments	(154.6)					(154.6)		(154.6)
Net unrealized and realized gain related to effective cash flow hedges, net of tax expense	24.7					24.7		24.7
Net gain on net investment hedges, net of tax expense	48.3					48.3		48.3
Comprehensive income (loss)	$ 80.0							80.0
Settlement of awards under stock plans (in shares)			162,869
Settlement of awards under stock plans			$ 0.1	(0.2)				(0.1)
Stock-based compensation expense				12.1				12.1
Common Stock, Dividends, Per Share, Declared	$ 0.0375
Dividends declared ($0.0375 per common share)					(2.3)			(2.3)
Acquisition of treasury shares during period							(73.0)	$ (73.0)
Balance at Oct. 29, 2023	$ 5,054.3	$ 0.0	$ 88.3	$ 3,283.3	$ 5,137.8	$ (804.7)	$ (2,650.4)
Balance (in shares) at Oct. 29, 2023	88,324,255		88,324,255
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Retained earnings	$ 5,137.8