Income Taxes - Changes in Unrecognized Tax Benefits (Details) - USD ($) $ in Millions	12 Months Ended
Jan. 28, 2023	Jan. 29, 2022	Jan. 30, 2021
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward]
Unrecognized tax benefits as of the beginning of the period	$ 334.0	$ 242.2	$ 166.9
Increases related to acquired tax positions	0.0	94.6	0.0
Increases related to prior year tax positions	2.0	1.5	77.9
Decreases related to prior year tax positions	(16.4)	0.0	(1.1)
Increases related to current year tax positions	6.8	7.7	5.6
Settlements	0.0	(5.9)	(0.5)
Lapse in the statute of limitations	(8.6)	(5.6)	(8.2)
Foreign exchange (gain) loss	(0.3)	(0.5)
Foreign exchange (gain) loss			1.6
Gross amounts of unrecognized tax benefits as of the end of the period	$ 317.5	$ 334.0	$ 242.2

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

No definition available.

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Amount of unrecognized tax benefits.

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