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Long-Term Debt (Narrative) (Details) $ in Millions				12 Months Ended
Long-Term Debt (Narrative) (Details) $ in Millions	Feb. 02, 2018 USD ($)	Nov. 24, 2014 USD ($)	Oct. 30, 2014	Dec. 29, 2017 USD ($) loan	Dec. 30, 2016 USD ($)	Jan. 01, 2016 USD ($)	Jan. 02, 2015 USD ($)
Debt Instrument [Line Items]
Proceeds from Issuance of Debt				$ 786.0	$ 355.0	$ 555.0
Long-term Debt				913.9	619.9
Repayments of Debt				$ 495.4	465.3	$ 555.2
Interest Maturity Period, Variable Rate				1 month
Long-term Debt, Excluding Current Maturities				$ 785.5	489.6
Debt Instrument, Redemption, Prior to Sept 1, 2024 [Member] \| US Treasury Rate [Member] \| Maximum [Member]
Debt Instrument [Line Items]
Credit facility interest margin on stated base rate				0.40%
Promissory Notes And Other [Member]
Debt Instrument [Line Items]
Long-term Debt				$ 1.2	0.8
Promissory Notes And Other [Member] \| Long-term Debt [Member]
Debt Instrument [Line Items]
Long-term Debt, Excluding Current Maturities				0.8	0.5
Uncommitted Facilities [Member]
Debt Instrument [Line Items]
Long-term Debt				128.0	130.0
Uncommitted Facilities [Member] \| Revolving Credit Facility [Member]
Debt Instrument [Line Items]
Revolving Credit Facility, Current Borrowing Capacity				$ 75.0
Credit facility interest margin on stated base rate				1.00%
Number Of Revolving Loan Facilities \| loan				2
Short-term Debt				$ 128.0	$ 130.0
Short-term Debt, Weighted Average Interest Rate, at Point in Time				2.24%	1.65%
Senior Notes 4.75% December 2024 [Member] \| Debt Instrument, Redemption, Prior to Sept 1, 2024 [Member] \| Maximum [Member]
Debt Instrument [Line Items]
Debt Instrument, Redemption Price, Percentage				100.00%
Senior Notes 4.75% December 2024 [Member] \| Debt Instrument, Redemption, After Sept 1, 2024 [Member]
Debt Instrument [Line Items]
Debt Instrument, Redemption Price, Percentage				100.00%
Senior Notes 4.75% December 2024 [Member] \| Change of Control Period [Member]
Debt Instrument [Line Items]
Debt Instrument, Redemption Price, Percentage				101.00%
Senior Notes 4.75% December 2024 [Member] \| Senior Notes [Member]
Debt Instrument [Line Items]
Notes Shelf Registration date			Oct. 30, 2014
Debt Instrument, Issuance Date		Nov. 24, 2014
Debt Instrument, Face Amount		$ 400.0
Proceeds from Issuance of Debt							$ 396.9
Discount on Notes Offering Price, Percentage							0.795%
Debt Issuance Cost							$ 3.0
Underwriting discount							2.6
Debt Instrument, Maturity Date				Dec. 01, 2024
Debt Instrument, Interest Rate, Stated Percentage				4.75%
2012 Credit Facility [Member] \| Revolving Credit Facility [Member]
Debt Instrument [Line Items]
Credit facility term period, years		5 years
Revolving Credit Facility, Current Borrowing Capacity		$ 700.0
2012 Credit Facility [Member] \| Term Loan [Member]
Debt Instrument [Line Items]
Credit facility term period, years		5 years
Revolving Credit Facility, Current Borrowing Capacity		$ 700.0
Repayments of Debt							638.8
2014 Credit Facility [Member]
Debt Instrument [Line Items]
Line of Credit Facility, Initiation Date				Nov. 24, 2014
Credit facility term period, years		5 years
Recognition of Debt Issuance Costs							1.6
Unsecured revolving credit facility, expiration date				Nov. 24, 2019
Covenant Ratio - Minimum Interest Coverage				3.50
Covenant Ratio - Maximum Leverage				3.00
Covenant Ratio Increase upon acquisition				0.50
Debt Instrument, Covenant Compliance				The Company was in compliance with these covenants at the end of fiscal 2017.
2014 Credit Facility [Member] \| Reserve Adjusted Fixed Per Annum Rate [Member] \| Minimum [Member]
Debt Instrument [Line Items]
Credit facility interest margin on stated base rate				1.00%
2014 Credit Facility [Member] \| Reserve Adjusted Fixed Per Annum Rate [Member] \| Maximum [Member]
Debt Instrument [Line Items]
Credit facility interest margin on stated base rate				1.75%
2014 Credit Facility [Member] \| Federal Funds Effective Swap Rate [Member]
Debt Instrument [Line Items]
Credit facility interest margin on stated base rate				0.50%
2014 Credit Facility [Member] \| Reserve Adjusted One Month LIBOR [Member]
Debt Instrument [Line Items]
Credit Facility Incremental Fixed Margin Rate				1.00%
2014 Credit Facility [Member] \| Reserve Adjusted One Month LIBOR [Member] \| Minimum [Member]
Debt Instrument [Line Items]
Credit facility interest margin on stated base rate				0.00%
2014 Credit Facility [Member] \| Reserve Adjusted One Month LIBOR [Member] \| Maximum [Member]
Debt Instrument [Line Items]
Credit facility interest margin on stated base rate				0.75%
2014 Credit Facility [Member] \| Revolving Credit Facility [Member] \| Minimum [Member]
Debt Instrument [Line Items]
Line of Credit Facility, Unused Capacity, Commitment Fee Percentage				0.10%
2014 Credit Facility [Member] \| Revolving Credit Facility [Member] \| Maximum [Member]
Debt Instrument [Line Items]
Line of Credit Facility, Unused Capacity, Commitment Fee Percentage				0.30%
2014 Credit Facility [Member] \| Term Loan [Member] \| Revolving Credit Facility [Member] \| Maximum [Member]
Debt Instrument [Line Items]
Unsecured Revolving Credit Facility Additional Borrowing Capacity				$ 500.0
2014 Credit Facility [Member] \| Revolving Credit Facility [Member]
Debt Instrument [Line Items]
Long-term Debt				$ 389.0	$ 94.0
Long-term Debt, Weighted Average Interest Rate, at Point in Time				2.55%	1.80%
2014 Credit Facility [Member] \| Unsecured Debt [Member] \| Revolving Credit Facility [Member]
Debt Instrument [Line Items]
Revolving Credit Facility, Current Borrowing Capacity				$ 1,000.0
Proceeds from Lines of Credit							307.0
Term Loan [Member] \| Nonoperating Income (Expense) [Member] \| 2012 Credit Facility [Member] \| Term Loan [Member]
Debt Instrument [Line Items]
Write off of unamortized debt issuance costs							$ 2.7
The Bank of Nova Scotia [Member] \| Subsequent Event [Member] \| Two Thousand Eighteen Interim Credit Facility [Member] \| Unsecured Debt [Member] \| Revolving Credit Facility [Member]
Debt Instrument [Line Items]
Revolving Credit Facility, Current Borrowing Capacity	$ 300.0
Unsecured Revolving Credit Facility Additional Borrowing Capacity	300.0
Long-term Debt	$ 300.0
The Bank of Nova Scotia [Member] \| Subsequent Event [Member] \| Two Thousand Eighteen Interim Credit Facility [Member] \| Unsecured Debt [Member] \| Revolving Credit Facility [Member] \| Reserve Adjusted Fixed Per Annum Rate [Member]
Debt Instrument [Line Items]
Credit facility interest margin on stated base rate	1.125%
The Bank of Nova Scotia [Member] \| Subsequent Event [Member] \| Two Thousand Eighteen Interim Credit Facility [Member] \| Unsecured Debt [Member] \| Revolving Credit Facility [Member] \| Federal Funds Effective Swap Rate [Member]
Debt Instrument [Line Items]
Credit facility interest margin on stated base rate	0.50%
The Bank of Nova Scotia [Member] \| Subsequent Event [Member] \| Two Thousand Eighteen Interim Credit Facility [Member] \| Unsecured Debt [Member] \| Revolving Credit Facility [Member] \| Reserve Adjusted One Month LIBOR [Member]
Debt Instrument [Line Items]
Credit facility interest margin on stated base rate	0.125%
Interest Maturity Period, Variable Rate	1 month