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Stock Plans (Narrative) (Details) - USD ($)
$ / shares in Units, $ in Thousands
12 Months Ended
Jan. 02, 2022
Jan. 03, 2021
Dec. 29, 2019
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Total income tax benefit recognized for stock-based compensation $ 14,000 $ 17,200 $ 11,600
Aggregate intrinsic value for stock options outstanding $ 97,400    
Weighted average remaining contractual term of options (in years) 5 years 1 month 6 days    
Aggregate intrinsic value for stock options exercisable $ 50,100    
Weighted average remaining contractual term of options exercisable (in years) 3 years    
Number of shares vested and expected to vest in the future 1,200,000    
Aggregate intrinsic value of vested and expected to vest stock options $ 97,400    
Weighted average remaining contractual term for options vested and expected to vest 5 years 1 month 6 days    
Total pre-tax stock-based compensation expense $ 32,780 29,126 31,514
Acceleration of executive compensation     7,700
Restricted Stock Awards [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Weighted-average grant-date fair value of stock granted (per share) $ 159.60    
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Forfeited in Period 27,000    
Fair value of restricted stock awards vested $ 11,600 14,000 12,000
Total pre-tax stock-based compensation expense 18,800 $ 10,800 $ 12,700
Total unrecognized compensation cost, net of estimated forfeitures, related to nonvested stock, granted $ 72,300    
Shares/units granted 508,000    
Awards/units outstanding 637,000 296,000  
Weighted-average period for recognition of unrecognized compensation cost, years 1 year 10 months 24 days    
Option vesting period (in years) 3 years    
Employee Stock Purchase Plan [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Shares authorized under plan 5,000,000    
Weighted-average grant-date fair value of stock granted (per share) $ 168.11 $ 105.23 $ 82.25
Share-based Compensation Arrangement by Share-based Payment Award, Discount from Market Price, Purchase Date 95.00%    
Share-based Compensation Arrangement by Share-based Payment Award, Maximum Employee Subscription Rate 10.00%    
Shares/units granted 21,578 38,727 33,843
Shares available for grant under employee stock purchase plan 800,000    
Stock Options [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Weighted-average grant-date fair value of options $ 40.00 $ 18.98 $ 22.63
Total intrinsic value of options exercised $ 32,400 $ 51,100 $ 19,100
Cash received from option exercises 25,100 37,700 19,700
Total pre-tax stock-based compensation expense 6,300 $ 3,600 $ 6,700
Total unrecognized compensation cost, net of estimated forfeitures, related to nonvested stock, granted $ 22,500    
Weighted-average period for recognition of unrecognized compensation cost, years 2 years 6 months    
Option vesting period (in years)   3 years  
Stock Options Expiration Period After Date of Grant   7 years  
2019 Incentive Plan [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Shares authorized under plan     6,250,000