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Equity-Based Compensation - Stock Appreciation Rights Activity (Details) - Stock appreciation rights - $ / shares
shares in Thousands
6 Months Ended
Jul. 23, 2021
Jan. 30, 2022
Jan. 30, 2022
Jul. 22, 2021
Number of Shares        
Outstanding, beginning (in shares) 300 634 300 200
Granted (in shares)       100
Conversion (in shares) 334      
Forfeitures (in shares)   (53)    
Outstanding, ending (in shares) 634 581 581 300
Weighted Average Benchmark Price        
Outstanding, beginning (in dollars per share) $ 12.66 $ 5.00 $ 12.66 $ 10.00
Granted (in dollars per share)       18.00
Forfeitures (in dollars per share)   8.52    
Outstanding, ending (in dollars per share) $ 5.00 $ 4.67 $ 4.67 $ 12.66