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Stock-Based Compensation and Shareholders' Equity - Textual (Details) - USD ($)
$ / shares in Units, shares in Thousands, $ in Millions
3 Months Ended
Jan. 30, 2021
Feb. 01, 2020
Oct. 31, 2020
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Total intrinsic value of options exercised $ 30.4 $ 20.3  
Total unrecognized compensation cost related to unvested share-based awards, before tax consideration $ 267.1    
Weighted-average period to recognize compensation cost 1 year 3 months 18 days    
Total grant-date fair value of vested stock options $ 15.6 $ 14.8  
Stock-based compensation $ 5.7   $ 5.8
Number of shares authorized to be repurchased (shares) 157,100    
Stock repurchase program, authorized amount $ 1,700.0    
Performance Stock Option      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Number of shares authorized (in shares) 460    
Exercise price per share (in dollars per share) $ 144.06    
Award vesting period 5 years    
Average closing price period 70 days    
Maxim | Performance-based Restricted Stock Units      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Award vesting period 2 years    
Units granted (in shares) 110    
Maximum      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Stock repurchase program, authorized amount $ 6,400.0    
Maximum | Performance Stock Option      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Target percentage 100.00%    
Maximum | Maxim | Performance-based Restricted Stock Units      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Target percentage 200.00%    
Minimum | Performance Stock Option      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Target percentage 0.00%    
Minimum | Maxim | Performance-based Restricted Stock Units      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Target percentage 0.00%