General (Details) $ / shares in Units, $ in Thousands	3 Months Ended								12 Months Ended
	Jan. 02, 2021 USD ($) Facility segment continent $ / shares	Sep. 26, 2020 $ / shares	Jun. 27, 2020 $ / shares	Mar. 28, 2020 $ / shares	Dec. 28, 2019 USD ($) $ / shares	Sep. 28, 2019 $ / shares	Jun. 29, 2019 $ / shares	Mar. 30, 2019 $ / shares	Jan. 02, 2021 USD ($) Facility segment continent $ / shares shares	Dec. 28, 2019 USD ($) $ / shares shares	Dec. 29, 2018 USD ($) $ / shares shares	Apr. 03, 2019	Oct. 05, 2018 USD ($)	May 31, 2018 USD ($)	May 02, 2018
General [Line Items]
Financing Receivable, Sale									$ 345,600	$ 204,100	$ 113,500
Expected Business Combination, Number of Continents in which Entity Operates | continent	5								5
Number of Operating Segments | segment	3								3
Cash and Cash Equivalents [Abstract]
Investments Classified As Cash Equivalents, Original Maturity									3 months
Goodwill [Abstract]
Goodwill	$ 1,260,240				$ 1,223,291				$ 1,260,240	1,223,291	1,229,159		$ 8,400	$ 19,600
Basic:
Net income									$ 296,819	$ 312,600	$ 101,496
Shares (in shares) | shares									162,572,000	164,633,000	164,789,000
Basic (in dollars per share) | $ / shares	$ 0.28	$ 0.62	$ 0.40	$ 0.52	$ 1.48	$ 0.16	$ 0.16	$ 0.11	$ 1.83	$ 1.90	$ 0.62
Effect of dilutive securities: [Abstract]
Add: Option shares in the money and dilutive effect of nonvested stock (in shares) | shares									6,526,000	5,983,000	5,234,000
Less: Pro-forma treasury shares (in shares) | shares									(1,890,000)	(2,238,000)	(2,113,000)
Diluted:
Net Income									$ 296,819	$ 312,600	$ 101,496
Shares (in shares) | shares									167,208,000	168,378,000	167,910,000
Diluted (in dollars per share) | $ / shares	$ 0.27	$ 0.61	$ 0.39	$ 0.51	$ 1.44	$ 0.15	$ 0.16	$ 0.11	$ 1.78	$ 1.86	$ 0.60
Stock Based Compensation [Abstract]
Stock-based compensation expense									$ 23,200	$ 21,000	$ 18,800
Employee service share-based compensation, tax benefit from compensation expense									1,900	1,700	2,400
Foreign currency translation									71,400	(12,300)	(86,900)
Financing Receivable, Significant Sales, Transaction Fees									$ 1,100	$ 1,200	$ 600
Lease, Term of Contract Not Recognized									12 months
Impairment of Long-Lived Assets Held-for-use									$ 6,200
Stock Options [Member]
Antidilutive Securities [Abstract]
Antidilutive securities excluded from computation of earnings per share, amount | shares									24,356	638,146	693,172
Non Vested Stock [Member]
Antidilutive Securities [Abstract]
Antidilutive securities excluded from computation of earnings per share, amount | shares									392,909	611,187	502,292
Minimum [Member]
General [Line Items]
Number of Processing and Transfer Facilities | Facility	200								200
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] | 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%								5.25%			5.25%
Senior Notes 3.625% Due 2026 [Member] | Senior Notes [Member]
General [Line Items]
Annual interest rate	3.625%								3.625%						3.625%