Income Taxes - Schedule of Components of Income Tax Provision (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 29, 2022	Jan. 30, 2021	Feb. 01, 2020
Current:
Federal	$ 11.7	$ 18.9	$ 2.3
State and local	1.7	13.0	1.9
Current income taxes	13.4	31.9	4.2
Deferred:
Federal	(0.1)	1.8	(7.5)
State and local	(0.5)	2.1	(0.4)
Deferred income taxes	(0.4)	(3.9)	7.9
Income tax provision	$ 13.0	$ 28.0	$ 12.1