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Income taxes - Narrative (Details) - USD ($) $ in Millions	12 Months Ended
Income taxes - Narrative (Details) - USD ($) $ in Millions	Jan. 28, 2023	Jan. 29, 2022	Jan. 30, 2021	Feb. 01, 2020
Operating Loss Carryforwards [Line Items]
Statutory tax rate (percent)	21.00%	21.00%	21.00%
Income tax examination, increase (decrease) in liability from prior year	$ 20.5
Value of capital losses	13.2	$ 16.9
Decrease in valuation allowance	(8.9)
Unrecognized tax benefits	85.9	24.9	$ 25.4	$ 23.5
Accrued interest related to unrecognized tax benefits	9.8
Accrued penalties	0.5
Increase resulting from settlements with taxing authorities	51.5
State and Local Jurisdiction
Operating Loss Carryforwards [Line Items]
Income tax benefit related to release of valuation allowance		49.8
Domestic Tax Authority
Operating Loss Carryforwards [Line Items]
Net operating loss carry forwards	39.2
Internal Revenue Service (IRS)
Operating Loss Carryforwards [Line Items]
Net operating loss carry forwards	30.9
Foreign Tax Authority
Operating Loss Carryforwards [Line Items]
Foreign capital loss carry forward	26.7
Value of capital losses	$ 13.2	$ 14.2
Bermuda
Operating Loss Carryforwards [Line Items]
Statutory tax rate (percent)	0.00%