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Share-Based Compensation - Narrative (Details)
$ / shares in Units, $ in Millions
3 Months Ended 6 Months Ended
Mar. 05, 2019
$ / shares
shares
Jul. 29, 2018
USD ($)
Apr. 27, 2018
shares
Oct. 05, 2016
shares
Apr. 28, 2019
$ / shares
shares
Apr. 29, 2018
USD ($)
employee
shares
Jul. 29, 2018
USD ($)
Jan. 27, 2019
shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Maximum number of shares subject to purchase under warrants | shares       1,086,957        
Warrants vested (in shares) | shares     586,956          
Warrant vesting costs | $   $ 21.5         $ 21.5  
Warrant vesting costs due to acceleration | $   $ 15.9         $ 15.9  
Number of securities called by warrants (in shares) | shares               869,565
Number of shares affected (in shares) | shares           159,000    
Number of employees affected | employee           8    
Additional compensation cost | $           $ 2.8    
Market Performance-based RSUs                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Equity awards granted | shares         106,000      
Description of award vesting rights         one-third of the awards vesting each performance period      
Performance Period One | Market Performance-based RSUs                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Performance period         1 year      
Grant date fair value per unit         $ 55.82      
Performance Period Two | Market Performance-based RSUs                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Performance period         2 years      
Grant date fair value per unit         $ 59.36      
Performance Period Three | Market Performance-based RSUs                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Performance period         3 years      
Grant date fair value per unit         $ 61.45      
CEO | Market Performance-based RSUs                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Equity awards granted | shares         160,000      
CEO | Market Performance Restricted Stock Units                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Equity awards granted | shares 320,000              
Vesting percentage, prorated 70.00%              
CEO | Performance Period One | Market Performance-based RSUs                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Performance period         1 year      
Grant date fair value per unit         $ 55.82      
CEO | Performance Period One | Market Performance Restricted Stock Units                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Vesting percent         25.00%      
Grant date fair value per unit $ 44.32              
CEO | Performance Period Two | Market Performance-based RSUs                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Performance period         2 years      
Grant date fair value per unit         $ 59.36      
CEO | Performance Period Two | Market Performance Restricted Stock Units                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Vesting percent         25.00%      
Grant date fair value per unit $ 33.19              
CEO | Performance Period Three | Market Performance-based RSUs                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Performance period         3 years      
Grant date fair value per unit         $ 61.45      
CEO | Performance Period Three | Market Performance Restricted Stock Units                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Vesting percent         25.00%      
CEO | Performance Period Four | Market Performance-based RSUs                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Performance period         4 years      
Grant date fair value per unit         $ 62.98      
CEO | Performance Period Four | Market Performance Restricted Stock Units                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Vesting percent         25.00%      
CEO | Average Share Price Equals To Or Exceeds $71.00 | Market Performance Restricted Stock Units                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Vesting percent 30.00%              
CEO | Average Share Price Equals Or Exceeds $95.00 | Market Performance Restricted Stock Units                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Vesting percent 70.00%              
CEO | Average Share Price Between $71.00 and $95.00 | Market Performance Restricted Stock Units                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Vesting percent 30.00%