Consolidated Statements of Changes in Stockholders' Equity - 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
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
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 (loss) gain related to effective cash flow hedges, net of tax benefit	(2.0)					(2.0)
Net loss on net investment hedges, net of tax benefit	(9.8)					(9.8)
Comprehensive income	107.5
Settlement of awards under stock plans (in shares)			132,809
Settlement of awards under stock plans	0.1		$ 0.2	(0.1)
Stock-based compensation expense	$ 13.1			13.1
Common Stock, Dividends, Per Share, Declared	$ 0.0375
Dividends declaredshare)	$ (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
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income	230.2
Foreign currency translation adjustments	4.4
Net unrealized and realized (loss) gain related to effective cash flow hedges, net of tax benefit	(1.7)
Net loss on net investment hedges, net of tax benefit	(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)
Balance (in shares) at Jul. 30, 2023	88,161,386		88,161,386
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	94.2				94.2
Foreign currency translation adjustments	21.1					21.1
Net unrealized and realized (loss) gain related to effective cash flow hedges, net of tax benefit	0.3					0.3
Net loss on net investment hedges, net of tax benefit	(2.9)					(2.9)
Comprehensive income	112.7
Settlement of awards under stock plans (in shares)			386,966
Settlement of awards under stock plans	0.0		$ 0.4	(0.4)
Stock-based compensation expense	$ 14.3			14.3
Common Stock, Dividends, Per Share, Declared	$ 0.0375
Dividends declaredshare)	$ (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		88,161,386
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Retained earnings	$ 4,978.5
Retained earnings	5,407.3
Balance at Feb. 04, 2024	$ 5,118.9	0.0	$ 88.6	3,313.3	5,407.3	(753.6)	(2,936.7)
Balance (in shares) at Feb. 04, 2024	88,567,275		88,567,275
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income	$ 151.4				151.4
Foreign currency translation adjustments	(14.8)					(14.8)
Net unrealized and realized (loss) gain related to effective cash flow hedges, net of tax benefit	1.4					1.4
Net loss on net investment hedges, net of tax benefit	2.8					2.8
Comprehensive income	140.8
Settlement of awards under stock plans (in shares)			337,076
Settlement of awards under stock plans	7.0		$ 0.3	6.7
Stock-based compensation expense	$ 10.5			10.5
Common Stock, Dividends, Per Share, Declared	$ 0.075
Dividends declaredshare)	$ (4.3)				(4.3)
Acquisition of treasury shares during period	(213.7)						(213.7)
Balance at May. 05, 2024	5,059.2	0.0	$ 88.9	3,330.5	5,554.4	(764.2)	(3,150.4)
Balance (in shares) at May. 05, 2024			88,904,351
Balance at Feb. 04, 2024	$ 5,118.9	0.0	$ 88.6	3,313.3	5,407.3	(753.6)	(2,936.7)
Balance (in shares) at Feb. 04, 2024	88,567,275		88,567,275
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income	$ 309.4
Foreign currency translation adjustments	(2.1)
Net unrealized and realized (loss) gain related to effective cash flow hedges, net of tax benefit	(5.8)
Net loss on net investment hedges, net of tax benefit	(13.3)
Comprehensive income	288.2
Balance at Aug. 04, 2024	$ 5,191.8	0.0	$ 89.0	3,347.1	5,712.4	(774.8)	(3,181.9)
Balance (in shares) at Aug. 04, 2024	89,045,598		89,045,598
Balance at May. 05, 2024	$ 5,059.2	0.0	$ 88.9	3,330.5	5,554.4	(764.2)	(3,150.4)
Balance (in shares) at May. 05, 2024			88,904,351
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income	158.0				158.0
Foreign currency translation adjustments	12.7					12.7
Net unrealized and realized (loss) gain related to effective cash flow hedges, net of tax benefit	(7.2)					(7.2)
Net loss on net investment hedges, net of tax benefit	(16.1)					(16.1)
Comprehensive income	147.4
Settlement of awards under stock plans (in shares)			141,247
Settlement of awards under stock plans	0.3		$ 0.1	0.2
Stock-based compensation expense	16.4			16.4
Acquisition of treasury shares during period	(31.5)						(31.5)
Balance at Aug. 04, 2024	$ 5,191.8	$ 0.0	$ 89.0	$ 3,347.1	$ 5,712.4	$ (774.8)	$ (3,181.9)
Balance (in shares) at Aug. 04, 2024	89,045,598		89,045,598
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Retained earnings	$ 5,712.4