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Stock-Based Compensation and Shareholders' Equity - Textual (Details) - USD ($)
$ / shares in Units, shares in Thousands, $ in Millions
3 Months Ended 6 Months Ended 9 Months Ended
Jan. 30, 2021
May 01, 2021
Jul. 31, 2021
Aug. 01, 2020
Oct. 31, 2020
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Total intrinsic value of options exercised     $ 79.1 $ 61.7  
Total unrecognized compensation cost related to unvested share-based awards, before tax consideration     $ 337.9    
Weighted-average period to recognize compensation cost     1 year 4 months 24 days    
Total grant-date fair value of vested stock options     $ 114.7 $ 157.9  
Number of shares authorized to be repurchased (in shares)     159,000    
Stock repurchase program, remaining authorized repurchase amount     $ 1,400.0    
Inventories          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Stock-based compensation     6.0   $ 5.8
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)   121      
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%      
Maximum          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Stock repurchase program, authorized amount     $ 6,700.0    
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%