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Accumulated other comprehensive income (loss) - Changes in Accumulated OCI by Component and Reclassifications Out of Accumulated OCI (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 28, 2023	Jan. 29, 2022	Jan. 30, 2021
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance	$ 1,564.0	$ 1,190.3	$ 1,222.6
OCI before reclassifications	(23.4)	(63.0)	15.0
Amounts reclassified from AOCI to earnings	110.1	2.6	(11.7)
Net current period OCI	86.7	(60.4)	3.3
Balance	1,578.6	1,564.0	1,190.3
Accumulated other comprehensive (loss) income
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance	(350.9)	(290.5)	(293.8)
Balance	(264.2)	(350.9)	(290.5)
Foreign currency translation
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance	(244.3)	(238.9)	(250.1)
OCI before reclassifications	(24.1)	(5.4)	11.2
Amounts reclassified from AOCI to earnings	0.0	0.0	0.0
Net current period OCI	(24.1)	(5.4)	11.2
Balance	(268.4)	(244.3)	(238.9)
Gain (losses) on available-for-sale securities
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance	0.2	0.5	0.3
OCI before reclassifications	(0.4)	(0.3)	0.2
Amounts reclassified from AOCI to earnings	0.0	0.0	0.0
Net current period OCI	(0.4)	(0.3)	0.2
Balance	(0.2)	0.2	0.5
Gains (losses) on cash flow hedges
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance	0.4	(0.9)	12.5
OCI before reclassifications	1.5	0.6	(0.8)
Amounts reclassified from AOCI to earnings	(1.4)	0.7	(12.6)
Net current period OCI	0.1	1.3	(13.4)
Balance	0.5	0.4	(0.9)
Pension plan | Amortization of unrecognized actuarial losses
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance	(103.3)	(47.2)	(52.4)
OCI before reclassifications	(0.4)	(57.9)	4.4
Amounts reclassified from AOCI to earnings	107.6	1.8	0.8
Net current period OCI	107.2	(56.1)	5.2
Balance	3.9	(103.3)	(47.2)
Pension plan | Amortization of unrecognized net prior service costs
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance	(3.9)	(4.0)	(4.1)
OCI before reclassifications	0.0	0.0	0.0
Amounts reclassified from AOCI to earnings	3.9	0.1	0.1
Net current period OCI	3.9	0.1	0.1
Balance	$ 0.0	$ (3.9)	$ (4.0)

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

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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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