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Share Repurchase Share repurchase (Details) - USD ($)
shares in Millions
3 Months Ended
Aug. 01, 2018
Dec. 28, 2019
Equity [Abstract]    
Total repurchase authorization $ 500,000,000.0  
Stock Repurchased During Period, Shares   1.5
Repurchase of equity   $ 80,900,000
Stock Repurchase Program, Remaining Authorized Repurchase Amount   130,600,000
Stock repurchased subsequent to period   900,000
Consideration paid for share repurchase subsequent to period   50,000,000.0
ASR Authorized   205,000,000
ASR Shares Repurchased during the period   3,300,000
Amount paid during the period under ASR Agreement   $ 164,000,000.0