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Stockholders' Deficit - Narrative (Details) - USD ($)
$ / shares in Units, shares in Millions, $ in Millions
3 Months Ended 6 Months Ended
Apr. 11, 2021
Apr. 12, 2020
Apr. 11, 2021
Apr. 12, 2020
Equity, Class of Treasury Stock [Line Items]        
Shares repurchased     0.6  
Shares repurchased, average price per share (in USD per share)     $ 101.45  
Repurchase of common stock, remaining authorized amount $ 135.0   $ 135.0  
Cash dividend (in USD per share) $ 0.40 $ 0.40 $ 0.80 $ 0.80
Total cash dividends     $ 18.2  
Amount Expiring in November 2021        
Equity, Class of Treasury Stock [Line Items]        
Repurchase of common stock, remaining authorized amount $ 35.0   35.0  
Amount Expiring in November 2022        
Equity, Class of Treasury Stock [Line Items]        
Repurchase of common stock, remaining authorized amount $ 100.0   $ 100.0