Gain on Sale Leaseback of Distribution Center - Additional Information (Details) - USD ($) $ in Millions	6 Months Ended	12 Months Ended
	Jul. 31, 2021	Jan. 29, 2022	Jan. 30, 2021	Feb. 01, 2020
Sale Leaseback Transaction [Line Items]
Sale and leaseback transaction, gain (loss), net		$ 24.5	$ 0.0	$ 0.0
Lease initial term		10 years
Operating lease liabilities		$ 906.8
Operating lease assets		$ 818.0	$ 837.0
Operating lease, weighted average discount rate, percent		5.91%	5.80%
Sale Leaseback of Distribution Center
Sale Leaseback Transaction [Line Items]
Sale leaseback transaction, sale price	$ 48.1
Sale and leaseback transaction, gain (loss), net	$ 24.5
Lease initial term	20 years
Lease extension option description	10-year extension options
Operating lease liabilities	$ 37.5
Operating lease assets	$ 37.5
Operating lease, weighted average discount rate, percent	6.28%