Asset impairments, net - Schedule of Asset Impairments, Net (Details) - USD ($) $ in Millions	3 Months Ended				9 Months Ended
	Oct. 30, 2021	Oct. 31, 2020	Aug. 01, 2020	May 02, 2020	Oct. 30, 2021	Oct. 31, 2020
Asset Impairment Charges [Abstract]
Goodwill impairment	$ 0.0	$ 0.0			$ 0.0	$ 10.7
Indefinite-lived intangible asset impairment	0.0	0.0			0.0	83.3
Property and equipment impairment	0.3	1.5	$ 11.9	$ 13.8	1.5	27.2
Operating lease ROU asset impairment	0.4	0.0	8.4	28.5	0.5	36.9
Total asset impairments, net	$ 0.7	1.5			2.0	158.1
Gain on termination or modification of leases		$ 0.9	$ 1.3	$ 1.0	$ 0.8	$ 3.2