Income taxes - Additional Information (Detail) - USD ($) $ in Millions	3 Months Ended	12 Months Ended
	Oct. 30, 2021	Jan. 29, 2022	Jan. 30, 2021	Feb. 01, 2020	Feb. 02, 2019
Operating Loss Carryforwards [Line Items]
Statutory tax rate (percent)		21.00%	21.00%	21.00%
Income tax benefit, two year carryforward			$ 74.0
Income tax benefit, five year carryforward	$ 12.4		26.4
Valuation allowance		$ 27.9	83.9
Capital loss carryforwards		16.9	13.9
Decrease in valuation allowance		56.0
Unrecognized tax benefits		24.9	25.4	$ 23.5	$ 18.1
Accrued interest related to unrecognized tax benefits		4.5
Accrued penalties		0.6
Increase resulting from settlements with taxing authorities		27.9
Alternative Minimum Tax Credit Carryforward
Operating Loss Carryforwards [Line Items]
Tax credit carryforward, amount		40.5
State and Local Jurisdiction
Operating Loss Carryforwards [Line Items]
Income tax benefit related to release of valuation allowance		49.8
Valuation allowance			49.8
Domestic Tax Authority
Operating Loss Carryforwards [Line Items]
Net operating loss carry forwards		17.9
Capital loss carryforwards		2.7
Internal Revenue Service (IRS)
Operating Loss Carryforwards [Line Items]
Net operating loss carry forwards		9.3
Foreign Tax Authority
Operating Loss Carryforwards [Line Items]
Net operating loss carry forwards		23.9
Deferred tax assets		2.1
Foreign capital loss carry forward		$ 14.2	$ 11.2
Bermuda
Operating Loss Carryforwards [Line Items]
Statutory tax rate (percent)		0.00%