General (Details)	3 Months Ended								9 Months Ended	12 Months Ended
	Dec. 28, 2019 USD ($) segment Facility continent $ / shares	Sep. 28, 2019 $ / shares	Jun. 29, 2019 $ / shares	Mar. 30, 2019 $ / shares	Dec. 29, 2018 USD ($) $ / shares	Sep. 29, 2018 $ / shares	Jun. 30, 2018 $ / shares	Mar. 31, 2018 $ / shares	Sep. 28, 2019	Dec. 28, 2019 USD ($) weeks segment Facility continent $ / shares shares	Dec. 29, 2018 USD ($) weeks $ / shares shares	Dec. 30, 2017 USD ($) weeks $ / shares shares	Apr. 03, 2019	Dec. 30, 2018 USD ($)	Oct. 05, 2018 USD ($)	May 31, 2018 USD ($)	May 02, 2018	Dec. 31, 2016 USD ($)
General [Line Items]
Financing Receivable, Sale										$ 204,100,000	$ 113,500,000	$ 0
Cash and cash equivalents	$ 72,935,000				$ 107,262,000					72,935,000	107,262,000
Income tax expense/(benefit)										$ 59,467,000	$ 12,031,000	$ (69,154,000)
Expected Business Combination, Number of Continents in which Entity Operates | continent	5									5
Number of Operating Segments | segment	3									3
Accounting Policies [Abstract]
Number Of Weeks Year To Date | weeks										52	52	52
Cash and Cash Equivalents [Abstract]
Investments Classified As Cash Equivalents, Original Maturity										3 months
Goodwill [Abstract]
Goodwill	$ 1,223,291,000				$ 1,229,159,000					$ 1,223,291,000	$ 1,229,159,000	$ 1,301,093,000			$ 8,400,000	$ 19,600,000
Basic:
Net income										$ 312,600,000	$ 101,496,000	$ 128,468,000
Shares (in shares) | shares										164,633,000	164,789,000	164,752,000
Basic (in dollars per share) | $ / shares	$ 1.48	$ 0.16	$ 0.16	$ 0.11	$ 0.25	$ (0.04)	$ (0.18)	$ 0.59		$ 1.90	$ 0.62	$ 0.78
Effect of dilutive securities: [Abstract]
Add: Option shares in the money and dilutive effect of nonvested stock (in shares) | shares										5,983,000	5,234,000	3,865,000
Less: Pro-forma treasury shares (in shares) | shares										(2,238,000)	(2,113,000)	(1,887,000)
Diluted:
Net Income										$ 312,600,000	$ 101,496,000	$ 128,468,000
Shares (in shares) | shares										168,378,000	167,910,000	166,730,000
Diluted (in dollars per share) | $ / shares	$ 1.44	$ 0.15	$ 0.16	$ 0.11	$ 0.24	$ (0.04)	$ (0.18)	$ 0.58		$ 1.86	$ 0.60	$ 0.77
Stock Based Compensation [Abstract]
Stock-based compensation expense										$ 21,000,000.0	$ 18,800,000	$ 17,600,000
Employee service share-based compensation, tax benefit from compensation expense										4,300,000	3,900,000	3,700,000
Foreign currency translation										(12,300,000)	(86,900,000)	125,700,000
Restricted Cash and Cash Equivalents	$ 110,000				$ 107,000					110,000	107,000
Cash, Cash Equivalents, Restricted Cash and Restricted Cash Equivalents	73,045,000				107,369,000					73,045,000	107,369,000	$ 106,916,000						$ 114,857,000
Financing Receivable, Significant Sales, Transaction Fees										1,200,000	600,000
Lease, Term of Contract Not Recognized									12 months
Lease obligations included in current and long-term liabilities	129,229,000									129,229,000				$ 134,400,000
Operating right-of-use assets, net	$ 124,726,000				$ 0					$ 124,726,000	$ 0			$ 135,700,000
Stock Options [Member]
Antidilutive Securities [Abstract]
Antidilutive securities excluded from computation of earnings per share, amount | shares										638,146	693,172	340,504
Non Vested Stock [Member]
Antidilutive Securities [Abstract]
Antidilutive securities excluded from computation of earnings per share, amount | shares										611,187	502,292	288,616
Minimum [Member]
General [Line Items]
Number of Processing and Transfer Facilities | Facility	200									200
Accounting Policies [Abstract]
Number Of Weeks Year To Date | weeks										52
Minimum [Member] | Buildings and improvements [Member]
Long Lived Assets [Abstract]
Property, Plant and Equipment, Useful Life										15 years
Minimum [Member] | Machinery and equipment [Member]
Long Lived Assets [Abstract]
Property, Plant and Equipment, Useful Life										3 years
Minimum [Member] | Vehicles [Member]
Long Lived Assets [Abstract]
Property, Plant and Equipment, Useful Life										3 years
Minimum [Member] | Aircraft [Member]
Long Lived Assets [Abstract]
Property, Plant and Equipment, Useful Life										7 years
Minimum [Member] | Routes [Member]
Long Lived Assets [Abstract]
Finite-Lived Intangible Assets, Useful Life										5 years
Minimum [Member] | Permits [Member]
Long Lived Assets [Abstract]
Finite-Lived Intangible Assets, Useful Life										10 years
Minimum [Member] | Non-compete agreements [Member]
Long Lived Assets [Abstract]
Finite-Lived Intangible Assets, Useful Life										3 years
Minimum [Member] | Trade Names [Member]
Long Lived Assets [Abstract]
Finite-Lived Intangible Assets, Useful Life										4 years
Maximum [Member]
Accounting Policies [Abstract]
Number Of Weeks Year To Date | weeks										53
Maximum [Member] | Buildings and improvements [Member]
Long Lived Assets [Abstract]
Property, Plant and Equipment, Useful Life										30 years
Maximum [Member] | Machinery and equipment [Member]
Long Lived Assets [Abstract]
Property, Plant and Equipment, Useful Life										10 years
Maximum [Member] | Vehicles [Member]
Long Lived Assets [Abstract]
Property, Plant and Equipment, Useful Life										8 years
Maximum [Member] | Aircraft [Member]
Long Lived Assets [Abstract]
Property, Plant and Equipment, Useful Life										10 years
Maximum [Member] | Routes [Member]
Long Lived Assets [Abstract]
Finite-Lived Intangible Assets, Useful Life										21 years
Maximum [Member] | Permits [Member]
Long Lived Assets [Abstract]
Finite-Lived Intangible Assets, Useful Life										20 years
Maximum [Member] | Non-compete agreements [Member]
Long Lived Assets [Abstract]
Finite-Lived Intangible Assets, Useful Life										7 years
Maximum [Member] | Trade Names [Member]
Long Lived Assets [Abstract]
Finite-Lived Intangible Assets, Useful Life										15 years
Senior Notes 5.25% Due 2027 [Member] | Senior Notes [Member]
General [Line Items]
Annual interest rate													5.25%
Senior Notes 3.625% Due 2026 [Member] | Senior Notes [Member]
General [Line Items]
Annual interest rate																	3.625%