Accumulated other comprehensive income (loss) - Changes in Accumulated OCI by Component and Reclassifications Out of Accumulated OCI (Detail) - USD ($) $ in Millions		12 Months Ended
		Jan. 30, 2021	Feb. 01, 2020	Feb. 02, 2019
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance		$ 1,222.6	$ 1,201.6	$ 2,499.8
OCI before reclassifications		15.0	9.7	(40.6)
Amounts reclassified from AOCI to net income		(11.7)	(0.7)	(0.8)
Total shareholders’ equity		1,190.3	1,222.6	1,201.6
Total other comprehensive (loss) income		3.3	9.0	(42.2)
Balance		1,190.3	1,222.6	1,201.6
Cumulative Effect, Period of Adoption, Adjustment
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance	[1]			(16.5)
Total shareholders’ equity	[1]			(16.5)
Accumulated other comprehensive (loss) income
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance		(293.8)	(302.8)	(260.6)
Total shareholders’ equity		(290.5)	(293.8)	(302.8)
Balance		(290.5)	(293.8)	(302.8)
Accumulated other comprehensive (loss) income | Cumulative Effect, Period of Adoption, Adjustment
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance	[1]			(0.8)
Total shareholders’ equity	[1]			(0.8)
Foreign currency translation
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance		(250.1)	(248.4)	(212.5)
OCI before reclassifications		11.2	(1.7)	(35.9)
Amounts reclassified from AOCI to net income		0.0	0.0	0.0
Total shareholders’ equity		(238.9)	(250.1)	(248.4)
Total other comprehensive (loss) income		11.2	(1.7)	(35.9)
Balance		(238.9)	(250.1)	(248.4)
Foreign currency translation | Cumulative Effect, Period of Adoption, Adjustment
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance				0.0
Total shareholders’ equity				0.0
Gain (losses) on available-for-sale securities, net
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance		0.3	(0.5)	(0.1)
OCI before reclassifications		0.2	(0.2)	0.4
Amounts reclassified from AOCI to net income		0.0	1.0	0.0
Total shareholders’ equity		0.5	0.3	(0.5)
Total other comprehensive (loss) income		0.2	0.8	(0.4)
Balance		0.5	0.3	(0.5)
Gain (losses) on available-for-sale securities, net | Cumulative Effect, Period of Adoption, Adjustment
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance				(0.8)
Total shareholders’ equity				(0.8)
Gains (losses) on cash flow hedges
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance		12.5	4.0	0.7
OCI before reclassifications		(0.8)	11.2	4.8
Amounts reclassified from AOCI to net income		(12.6)	(2.7)	(1.5)
Total shareholders’ equity		(0.9)	12.5	4.0
Total other comprehensive (loss) income		(13.4)	8.5	3.3
Balance		(0.9)	12.5	4.0
Gains (losses) on cash flow hedges | Cumulative Effect, Period of Adoption, Adjustment
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance				0.0
Total shareholders’ equity				0.0
Pension plan | Actuarial gains (losses)
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance		(52.4)	(53.8)	(51.1)
OCI before reclassifications		4.4	0.4	(3.4)
Amounts reclassified from AOCI to net income		0.8	1.0	0.7
Total shareholders’ equity		(47.2)	(52.4)	(53.8)
Total other comprehensive (loss) income		5.2	1.4	(2.7)
Balance		(47.2)	(52.4)	(53.8)
Pension plan | Actuarial gains (losses) | Cumulative Effect, Period of Adoption, Adjustment
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance				0.0
Total shareholders’ equity				0.0
Pension plan | Prior service credits (costs)
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance		(4.1)	(4.1)	2.4
OCI before reclassifications		0.0	0.0	(6.5)
Amounts reclassified from AOCI to net income		0.1	0.0	0.0
Total shareholders’ equity		(4.0)	(4.1)	(4.1)
Total other comprehensive (loss) income		0.1	0.0	(6.5)
Balance		$ (4.0)	$ (4.1)	(4.1)
Pension plan | Prior service credits (costs) | Cumulative Effect, Period of Adoption, Adjustment
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance				0.0
Total shareholders’ equity				$ 0.0

[1] Reflects reclassifications to retained earnings related to 1) unrealized gains related to the Company’s equity security investments as of February 3, 2018 from AOCI associated with the adoption of ASU 2016-01 and 2) deferred costs associated with the sale of extended service plans due to the adoption of ASU 2014-09.