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. 29, 2022	Jan. 30, 2021	Feb. 01, 2020
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance	$ 1,190.3	$ 1,222.6	$ 1,201.6
OCI before reclassifications	(63.0)	15.0	9.7
Amounts reclassified from AOCI to earnings	2.6	(11.7)	(0.7)
Total other comprehensive (loss) income	(60.4)	3.3	9.0
Balance	1,564.0	1,190.3	1,222.6
Accumulated other comprehensive (loss) income
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance	(290.5)	(293.8)	(302.8)
Balance	(350.9)	(290.5)	(293.8)
Foreign currency translation
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance	(238.9)	(250.1)	(248.4)
OCI before reclassifications	(5.4)	11.2	(1.7)
Amounts reclassified from AOCI to earnings	0.0	0.0	0.0
Total other comprehensive (loss) income	(5.4)	11.2	(1.7)
Balance	(244.3)	(238.9)	(250.1)
Gain (losses) on available-for-sale securities, net
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance	0.5	0.3	(0.5)
OCI before reclassifications	(0.3)	0.2	(0.2)
Amounts reclassified from AOCI to earnings	0.0	0.0	1.0
Total other comprehensive (loss) income	(0.3)	0.2	0.8
Balance	0.2	0.5	0.3
Gains (losses) on cash flow hedges
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance	(0.9)	12.5	4.0
OCI before reclassifications	0.6	(0.8)	11.2
Amounts reclassified from AOCI to earnings	0.7	(12.6)	(2.7)
Total other comprehensive (loss) income	1.3	(13.4)	8.5
Balance	0.4	(0.9)	12.5
Pension plan \| Actuarial gains (losses)
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance	(47.2)	(52.4)	(53.8)
OCI before reclassifications	(57.9)	4.4	0.4
Amounts reclassified from AOCI to earnings	1.8	0.8	1.0
Total other comprehensive (loss) income	(56.1)	5.2	1.4
Balance	(103.3)	(47.2)	(52.4)
Pension plan \| Prior service credits (costs)
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance	(4.0)	(4.1)	(4.1)
OCI before reclassifications	0.0	0.0	0.0
Amounts reclassified from AOCI to earnings	0.1	0.1	0.0
Total other comprehensive (loss) income	0.1	0.1	0.0
Balance	$ (3.9)	$ (4.0)	$ (4.1)

A roll forward is a reconciliation of a concept from the beginning of a period to the end of a period.

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Amount after tax, before reclassification adjustments, of other comprehensive income (loss), attributable to parent.

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Amount after tax of other comprehensive income (loss) attributable to parent entity.

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Total of all stockholders' equity (deficit) items, net of receivables from officers, directors, owners, and affiliates of the entity which are attributable to the parent. The amount of the economic entity's stockholders' equity attributable to the parent excludes the amount of stockholders' equity which is allocable to that ownership interest in subsidiary equity which is not attributable to the parent (noncontrolling interest, minority interest). This excludes temporary equity and is sometimes called permanent equity.

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