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Equity-Based Compensation - Stock Appreciation Rights Activity (Details) - Stock appreciation rights - USD ($)
$ / shares in Units, shares in Thousands, $ in Millions
6 Months Ended 12 Months Ended
Jul. 22, 2021
Jan. 28, 2024
Number of Shares    
Outstanding, beginning (in shares)   556
Granted (in shares) (224)  
Outstanding, ending (in shares)   332
Weighted Average Benchmark Price    
Outstanding, beginning (in dollars per share)   $ 4.65
Granted (in dollars per share)   3.71
Outstanding, ending (in dollars per share)   $ 5.28
Stock appreciation rights, exercisable (in shares)   226
Stock appreciation rights, exercisable, weighted average exercise price   $ 4.01
Stock appreciation rights, aggregate intrinsic value, outstanding   $ 12
Stock appreciation rights, exercisable, aggregate intrinsic value   $ 8