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
Foreign currency translation adjustments						(131.8)		(131.8)
Net unrealized and realized gain (loss) related to effective cash flow hedges, net of tax (benefit) expense						25.8		25.8
Net (loss) gain on net investment hedges, net of tax (benefit) expense						50.2		50.2
Comprehensive income								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		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
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	$ 248.4
Foreign currency translation adjustments	(223.8)
Net unrealized and realized gain (loss) related to effective cash flow hedges, net of tax (benefit) expense	31.3
Net (loss) gain on net investment hedges, net of tax (benefit) expense	78.8
Comprehensive income	134.7
Balance at Jul. 31, 2022	$ 5,206.4	0.0	$ 87.5	3,220.9	4,806.0	(726.4)	(2,181.6)	5,206.4
Balance (in shares) at Jul. 31, 2022	87,509,778		87,509,778
Balance at May. 01, 2022		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
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income	$ 115.3				115.3			115.3
Foreign currency translation adjustments	(92.0)					(92.0)		(92.0)
Net unrealized and realized gain (loss) related to effective cash flow hedges, net of tax (benefit) expense	5.5					5.5		5.5
Net (loss) gain on net investment hedges, net of tax (benefit) expense	28.6					28.6		28.6
Comprehensive income	$ 57.4							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)	5,206.4
Balance (in shares) at Jul. 31, 2022	87,509,778		87,509,778
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Retained earnings	$ 4,806.0
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
Foreign currency translation adjustments						(16.7)		(16.7)
Net unrealized and realized gain (loss) related to effective cash flow hedges, net of tax (benefit) expense						(2.0)		(2.0)
Net (loss) gain on net investment hedges, net of tax (benefit) expense						(9.8)		(9.8)
Comprehensive income								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		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
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	$ 230.2
Foreign currency translation adjustments	4.4
Net unrealized and realized gain (loss) related to effective cash flow hedges, net of tax (benefit) expense	(1.7)
Net (loss) gain on net investment hedges, net of tax (benefit) expense	(12.7)
Comprehensive income	220.2
Balance at Jul. 30, 2023	$ 5,037.6	0.0	$ 88.2	3,271.4	4,978.5	(723.1)	(2,577.4)	5,037.6
Balance (in shares) at Jul. 30, 2023	88,161,386		88,161,386
Balance at Apr. 30, 2023		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
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income	$ 94.2				94.2			94.2
Foreign currency translation adjustments	21.1					21.1		21.1
Net unrealized and realized gain (loss) related to effective cash flow hedges, net of tax (benefit) expense	0.3					0.3		0.3
Net (loss) gain on net investment hedges, net of tax (benefit) expense	(2.9)					(2.9)		(2.9)
Comprehensive income	$ 112.7							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)	$ 5,037.6
Balance (in shares) at Jul. 30, 2023	88,161,386		88,161,386
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Retained earnings	$ 4,978.5