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Income Taxes (Details Textual) - USD ($)
$ / shares in Units, $ in Millions
 3 Months Ended 9 Months Ended 12 Months Ended
Mar. 31, 2018
Dec. 30, 2017
Dec. 30, 2017
Mar. 31, 2018
Apr. 01, 2017
Apr. 02, 2016
Operating Loss Carryforwards [Line Items]            
Effective Income Tax Rate Reconciliation, at Federal Statutory Income Tax Rate, Percent 21.00%   35.00% 31.50% 35.00% 35.00%
Provisional U.S. Tax Reform Charge - Total   $ 231.3   $ 221.4    
Provisional U.S. Tax Reform Charge - Mandatory Transition Tax $ (6.2) 215.5        
Provisional U.S. Tax Reform Charge - Revaluation of Deferred Tax Assets and Liabilities (5.5) $ 15.8        
Provisional U.S. Tax Reform Charge - Expected Future Remittance of Certain Previously Deferred Foreign Earnings 1.8          
Effective Income Tax Rate Reconciliation - TCJA Enactment-Related Charges, Percent       45.20%    
Impact of Charges related to U.S. Tax Reform on Diluted Earnings Per Share       $ 2.68    
Foreign Earnings Repatriated 252.0          
Change in Accounting Estimate related to Reduction of Assessment Period, Financial Effect on Provision for Income Taxes           $ (7.7)
Change in Accounting Estimate related to Reduction of Assessment Period, Impact on Basic Earnings Per Share           $ 0.09
Change in Accounting Estimate related to Reduction of Assessment Period, Impact on Dilutive Earnings per Share           $ 0.09
Deferred Tax Liabilities, Undistributed Foreign Earnings 7.1     $ 7.1 $ 0.0  
Undistributed earnings of foreign subsidiaries expected to be permanently reinvested 98.0     98.0    
Non-current liability for unrecognized tax benefits 79.2     79.2 62.7  
Unrecognized tax benefits that, if recognized, would affect the effective tax rate 68.4     68.4 $ 46.7  
State and Local Jurisdiction [Member]            
Operating Loss Carryforwards [Line Items]            
Deferred Tax Assets, Operating Loss Carryforwards, Subject to Expiration 237.4     237.4    
Operating Loss Carryforwards, Valuation Allowance 44.2     44.2    
Valuation Allowance, Deferred Tax Asset, Change in Amount       5.3    
Foreign Tax Authority [Member]            
Operating Loss Carryforwards [Line Items]            
Deferred Tax Assets, Operating Loss Carryforwards, Subject to Expiration 71.5     71.5    
Operating Loss Carryforwards, Valuation Allowance $ 204.6     204.6    
Valuation Allowance, Deferred Tax Asset, Change in Amount       $ 2.3