Basic and Diluted Earnings Per Share - Anti-Dilutive Securities (Details) - shares		3 Months Ended	6 Months Ended
	Aug. 01, 2021	Jul. 31, 2022	Jul. 31, 2022
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]
Securities not included in computation of diluted loss per share because the effect would have been anti-dilutive	84,769,304	0	0
Partnership Interest/Class B Shares
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]
Securities not included in computation of diluted loss per share because the effect would have been anti-dilutive	84,135,621	0	0
Stock appreciation rights
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]
Securities not included in computation of diluted loss per share because the effect would have been anti-dilutive	633,683	0	0