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Income Per Share - Narrative (Details) - shares
3 Months Ended 6 Months Ended
Feb. 26, 2022
Feb. 27, 2021
Feb. 26, 2022
Feb. 27, 2021
Earnings Per Share [Abstract]        
Anti-dilutive securities excluded from calculation of diluted earnings per share (in shares) 41,364 2,379 25,722 11,566