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Income taxes - Schedule of Activity of Unrecognized Tax Benefits (Detail) - USD ($) $ in Millions	12 Months Ended
	Jan. 28, 2023	Jan. 29, 2022	Jan. 30, 2021
Reconciliation of Unrecognized Tax Benefits
Unrecognized tax benefits, beginning of period	$ 24.9	$ 25.4	$ 23.5
Increases related to current year tax positions	1.6	2.0	1.0
Increases from acquisitions	2.3	0.0	0.0
Increases related to prior year tax positions	59.6	0.4	3.4
Lapse of statute of limitations	(2.4)	(2.9)	(2.6)
Foreign currency translation	(0.1)
Foreign currency translation		0.0	0.1
Unrecognized tax benefits, end of period	$ 85.9	$ 24.9	$ 25.4

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- Definition

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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- Definition

Amount of unrecognized tax benefits.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 740
-SubTopic 10
-Section 45
-Paragraph 10B
-URI https://asc.fasb.org/extlink&oid=123427490&loc=SL37586934-109318

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-Publisher FASB
-Name Accounting Standards Codification
-Topic 740
-SubTopic 10
-Section 50
-Paragraph 15A
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-URI https://asc.fasb.org/extlink&oid=121826272&loc=SL6600010-109319

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Amount of decrease in unrecognized tax benefits resulting from foreign currency translation.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 740
-SubTopic 10
-Section 50
-Paragraph 15A
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Amount of increase in unrecognized tax benefits resulting from acquisitions.

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Amount of increase in unrecognized tax benefits resulting from tax positions that have been or will be taken in current period tax return.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
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+ References

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Amount of decrease in unrecognized tax benefits resulting from lapses of applicable statutes of limitations.

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-Publisher FASB
-Name Accounting Standards Codification
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-SubTopic 10
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