General (Details) $ / shares in Units, $ in Thousands	3 Months Ended								12 Months Ended
	Dec. 30, 2017 USD ($) segment Facility continent $ / shares	Sep. 30, 2017 $ / shares	Jul. 01, 2017 $ / shares	Apr. 01, 2017 $ / shares	Dec. 31, 2016 USD ($) $ / shares	Oct. 01, 2016 $ / shares	Jul. 02, 2016 $ / shares	Apr. 02, 2016 $ / shares	Dec. 30, 2017 USD ($) weeks segment Facility continent $ / shares shares	Dec. 31, 2016 USD ($) weeks $ / shares shares	Jan. 02, 2016 USD ($) weeks $ / shares shares
General [Line Items]
Income tax expense/(benefit)									$ (69,154)	$ 15,315	$ 13,501
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	$ 1,301,093				$ 1,225,893				$ 1,301,093	$ 1,225,893	$ 1,233,102
Basic:
Net income									$ 128,468	$ 102,313	$ 78,531
Shares (in shares) | shares									164,752,000	164,600,000	165,031,000
Basic (in dollars per share) | $ / shares	$ 0.64	$ 0.05	$ 0.06	$ 0.04	$ 0.25	$ 0.17	$ 0.19	$ 0.01	$ 0.78	$ 0.62	$ 0.48
Effect of dilutive securities: [Abstract]
Add: Option shares in the money and dilutive effect of nonvested stock (in shares) | shares									3,865,000	1,329,000	168,000
Less: Pro-forma treasury shares (in shares) | shares									(1,887,000)	(717,000)	(80,000)
Diluted:
Net Income									$ 128,468	$ 102,313	$ 78,531
Shares (in shares) | shares									166,730,000	165,212,000	165,119,000
Diluted (in dollars per share) | $ / shares	$ 0.63	$ 0.05	$ 0.05	$ 0.04	$ 0.25	$ 0.17	$ 0.19	$ 0.01	$ 0.77	$ 0.62	$ 0.48
Stock Based Compensation [Abstract]
Stock-based compensation expense									$ 17,600	$ 10,300	$ 9,000
Employee service share-based compensation, tax benefit from compensation expense									3,700	3,400	3,300
Payments related to tax withholding for share-based compensation										(400)	(400)
Foreign currency translation									$ 125,700	$ (3,700)	$ (164,800)
Stock Options [Member]
Antidilutive Securities [Abstract]
Antidilutive securities excluded from computation of earnings per share, amount | shares									340,504	1,148,707	790,092
Non Vested Stock [Member]
Antidilutive Securities [Abstract]
Antidilutive securities excluded from computation of earnings per share, amount | shares									288,616	758,557	587,961
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
Accounting Standards Update 2016-09 [Member]
General [Line Items]
Income tax expense/(benefit)									$ 100
Diluted:
Shares (in shares) | shares									367,000