Net Loss per Share - Computation of Basic and Diluted Loss Per Share (Details) - USD ($) $ / shares in Units, $ in Thousands		1 Months Ended	2 Months Ended	3 Months Ended		8 Months Ended	9 Months Ended
		Jun. 25, 2022	Jun. 06, 2022	Jun. 25, 2022	Jun. 26, 2021	Jun. 06, 2022	Jun. 25, 2022	Jun. 26, 2021
Numerator - basic and diluted
Net loss		$ (13,697)	$ (19,178)	$ (32,875)	$ (37,771)	$ (72,134)	$ (85,831)	$ (90,830)
Net loss attributable to Legacy Warehouse unitholders prior to the Business Combination		(1,314)	(19,178)		$ (37,771)	(72,134)		$ (90,830)
Less: Net loss attributable to the noncontrolling interest post Business Combination		(12,383)
Denominator - basic and diluted
Weighted-average shares of Class A common shares outstanding - basic (in shares)				50,664,146	0		50,664,146	0
Diluted (in shares)				50,664,146	0		50,664,146	0
Loss per share of Class A common stock - basic (in dollars per share)	[1]			$ (0.03)	$ 0		$ (0.03)	$ 0
Loss per share of Class A common stock - diluted (in dollars per share)	[1]			$ (0.03)	$ 0		$ (0.03)	$ 0
Noncontrolling Interest
Numerator - basic and diluted
Net loss		(12,383)
Less: Net loss attributable to the noncontrolling interest post Business Combination		$ (12,383)
Warehouse
Numerator - basic and diluted
Net loss attributable to Legacy Warehouse unitholders prior to the Business Combination			$ (19,178)			$ (72,134)

[1] (1) Loss per share information has not been presented for periods prior to the Business Combination (as defined in Note 3, Business Combination), as it resulted in values that would not be meaningful to the users of these unaudited condensed consolidated financial statements. Refer to Note 3, Business Combination for further information.