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Consolidated Statements of Changes in Shareholders' Equity (Parenthetical) - USD ($)
$ in Millions
12 Months Ended
Aug. 30, 2025
Aug. 31, 2024
Aug. 26, 2023
Aug. 27, 2022
Statement of Stockholders' Equity [Abstract]        
Accounting standards update, extensible enumeration       Accounting Standards Update 2020-06 [Member]
Common stock dividends (in dollars per share) $ 1.37 $ 1.27 $ 1.12  
Convertible note bond hedge, tax   $ 16.8