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Commitments and Contingencies (Details) - USD ($)
$ in Millions
 3 Months Ended 12 Months Ended
Mar. 31, 2018
Dec. 30, 2017
Mar. 31, 2018
Apr. 01, 2017
Apr. 02, 2016
Loss Contingencies [Line Items]          
Provisional U.S. Tax Reform Charge - Mandatory Transition Tax $ (6.2) $ 215.5      
Operating Leases, Rent Expense, Net [Abstract]          
Rent expense, net of sublease income     $ 443.1 $ 460.5 $ 472.4
Contingent rental charges     175.9 164.0 163.4
Operating Leases, Future Minimum Payments Due, Fiscal Year Maturity [Abstract]          
Fiscal 2019 343.8   343.8    
Fiscal 2020 318.1   318.1    
Fiscal 2021 262.6   262.6    
Fiscal 2022 220.1   220.1    
Fiscal 2023 199.1   199.1    
Fiscal 2024 and thereafter 504.5   504.5    
Total net minimum rental payments 1,848.2   1,848.2    
Capital Leases, Balance Sheet, Assets by Major Class, Net [Abstract]          
Assets under capital leases 243.2   243.2 264.9  
Assets under capital leases, accumulated amortization 104.5   104.5 77.6  
Capital Leases, Future Minimum Payments Due, Fiscal Year Maturity [Abstract]          
Fiscal 2019 29.6   29.6    
Fiscal 2020 31.9   31.9    
Fiscal 2021 30.5   30.5    
Fiscal 2022 29.4   29.4    
Fiscal 2023 28.9   28.9    
Fiscal 2024 and thereafter 78.5   78.5    
Total 228.8   228.8    
Less: amount representing interest (73.4)   (73.4)    
Present value of net minimum rental payments 155.4   155.4    
Other Commitments [Abstract]          
Contractual Obligation 880.9   880.9    
Line of credit facility, contingent liability for outstanding LOCs 9.3   9.3    
Loss Contingency, Estimate [Abstract]          
Other Charges     28.8 $ 24.6 47.7
Inventory-related commitments [Member]          
Other Commitments [Abstract]          
Contractual Obligation 741.7   741.7    
Interest payments [Member]          
Other Commitments [Abstract]          
Contractual Obligation 22.9   22.9    
Other Commitments [Member]          
Other Commitments [Abstract]          
Contractual Obligation 107.0   107.0    
Former flagship store on Fifth Avenue NYC [Member]          
Other Commitments [Abstract]          
Contractual Obligation 135.1   135.1    
Former flagship store on Fifth Avenue NYC [Member] | Land [Member]          
Operating Leases, Future Minimum Payments Due, Fiscal Year Maturity [Abstract]          
Total net minimum rental payments 41.2   41.2    
Former flagship store on Fifth Avenue NYC [Member] | Building [Member]          
Capital Leases, Future Minimum Payments Due, Fiscal Year Maturity [Abstract]          
Total 93.9   93.9    
US Tax Reform [Member]          
Loss Contingencies [Line Items]          
Provisional U.S. Tax Reform Charge - Mandatory Transition Tax     209.3    
Mandatory Transition Tax Payments Due in Fiscal 2019 23.0   23.0    
Mandatory Transition Tax Payments Due in Fiscal 2020 11.6   11.6    
Mandatory Transition Tax Payments Due in Fiscal 2021 11.6   11.6    
Mandatory Transition Tax Payments Due in Fiscal 2022 11.6   11.6    
Mandatory Transition Tax Payments Due in Fiscal 2023 19.2   19.2    
Mandatory Transition Tax Payments Due in Fiscal 2024 and thereafter 70.8   70.8    
Mandatory Transition Tax Payments Due under the Tax Reform, Net of Foreign Tax Credit Carryover 147.8   147.8    
Foreign tax credits and other federal income tax activity 61.5   $ 61.5    
Mandatory Transition Tax Payments Due, Period of Time for Payments     8 years    
Customs Audit [Member]          
Loss Contingency, Estimate [Abstract]          
Other Charges 10.2   $ 10.2   $ 34.1
Customs Audit [Member] | Second re-audit net refund [Member]          
Loss Contingency, Estimate [Abstract]          
Other Charges (15.6)        
Customs Audit [Member] | Voluntary disclosure requests payments [Member]          
Loss Contingency, Estimate [Abstract]          
Other Charges 40.6        
Customs Audit [Member] | Voluntary disclosure requests payments - recoverable value-added tax [Member]          
Loss Contingency, Estimate [Abstract]          
Other Charges (14.8)        
Customs Audit [Member]          
Loss Contingency, Estimate [Abstract]          
Loss Contingency, Interest and Penalties 11.0   11.0    
Maximum [Member] | Customs Audit [Member]          
Loss Contingency, Estimate [Abstract]          
Loss Contingency, Maximum Loss $ 46.0   $ 46.0