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Stock-Based Compensation Plans (Details Textual) - USD ($)
$ / shares in Units, $ in Millions
3 Months Ended 6 Months Ended 12 Months Ended
Sep. 29, 2018
Sep. 30, 2017
Sep. 29, 2018
Sep. 30, 2017
Mar. 31, 2018
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Tax benefit from compensation expense $ 7.8 $ 6.3 $ 8.7 $ 17.9  
Adjustments Related to Tax Withholding for Share-based Compensation     $ 39.5 $ 42.1  
Options, grants in period (shares)     0   0
Share-based Compensation Arrangement by Share-based Payment Award, Fair Value Assumptions, Risk Free Interest Rate 2.70% 1.70% 2.70% 1.70%  
Share-based Compensation Arrangement by Share-based Payment Award, Fair Value Assumptions, Expected Dividend Rate 2.20% 2.20% 2.20% 2.20%  
Employee Stock Purchase Plan [Member]          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Stock Issued During Period, Value, Employee Stock Purchase Plan $ 18.0 $ 16.9      
Share-based Compensation Arrangement by Share-based Payment Award, Fair Value Assumptions, Expected Term 1 year 3 months 1 year 3 months      
Share-based Compensation Arrangement by Share-based Payment Award, Fair Value Assumptions, Expected Volatility Rate 29.00% 28.00%      
Share-based Compensation Arrangement by Share-based Payment Award, Fair Value Assumptions, Risk Free Interest Rate 2.50% 1.30%      
Share-based Compensation Arrangement by Share-based Payment Award, Fair Value Assumptions, Expected Dividend Rate 2.00% 2.20%      
Restricted Stock Units (RSUs) [Member]          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Weighted-Average Grant-Date Fair Value, Granted (usd per share) $ 62.79 $ 59.99 $ 63.00 $ 59.89 $ 60.18
Equity Plan 2007 [Member]          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Share-based Compensation Arrangement by Share-based Payment Award, Number of Shares Authorized     3,000,000    
Shares available for grant (shares) 11,600,000   11,600,000    
Employee Stock Purchase Plan [Member]          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Weighted-Average Grant-Date Fair Value, Granted (usd per share) $ 19.06 $ 16.46      
Share-based Compensation Arrangement by Share-based Payment Award, Number of Shares Authorized     3,000,000    
ESPP shares issued during period (shares) 359,000 355,000      
Shares available for grant (shares) 12,000,000   12,000,000