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Net Loss Per Share from Continuing Operations Attributable to Common Stockholders and Common Stock - Schedule of Common Stock Equivalents Excluded from Computation of Diluted Earnings (Loss) Per Share (Details) - shares
3 Months Ended 9 Months Ended
May 03, 2025
Apr. 27, 2024
May 03, 2025
Apr. 27, 2024
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]        
Total (in shares) 20,683,681 23,239,982 20,683,681 23,239,982
Performance-Based Stock Awards        
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]        
Total (in shares) 2,159,375 0 2,159,375 0
Restricted Stock Units        
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]        
Total (in shares) 8,914,048 12,218,182 8,914,048 12,218,182
Stock Options | Class A Common Stock        
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]        
Total (in shares) 8,913,334 10,285,653 8,913,334 10,285,653
Stock Options | Class B Common Stock        
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]        
Total (in shares) 696,924 736,147 696,924 736,147