General (Details) $ / shares in Units, $ in Thousands	12 Months Ended
	Jan. 01, 2022 USD ($) segment Facility continent $ / shares shares	Jan. 02, 2021 USD ($) $ / shares shares	Dec. 28, 2019 USD ($) $ / shares shares	Apr. 03, 2019	May 02, 2018
General [Line Items]
Financing Receivable, Sale	$ 443,600	$ 345,600	$ 204,100
Expected Business Combination, Number of Continents in which Entity Operates | continent	5
Number of Operating Segments | segment	3
Cash and Cash Equivalents [Abstract]
Investments Classified As Cash Equivalents, Original Maturity	3 months
Goodwill [Abstract]
Goodwill	$ 1,219,116	1,260,240	1,223,291
Basic:
Net income	$ 650,914	$ 296,819	$ 312,600
Shares (in shares) | shares	162,454,000	162,572,000	164,633,000
Basic (in dollars per share) | $ / shares	$ 4.01	$ 1.83	$ 1.90
Effect of dilutive securities: [Abstract]
Add: Option shares in the money and dilutive effect of nonvested stock (in shares) | shares	5,468,000	6,526,000	5,983,000
Less: Pro-forma treasury shares (in shares) | shares	(826,000)	(1,890,000)	(2,238,000)
Diluted:
Net Income	$ 650,914	$ 296,819	$ 312,600
Shares (in shares) | shares	167,096,000	167,208,000	168,378,000
Diluted (in dollars per share) | $ / shares	$ 3.90	$ 1.78	$ 1.86
Stock Based Compensation [Abstract]
Stock-based compensation expense	$ 21,800	$ 23,200	$ 21,000
Employee service share-based compensation, tax benefit from compensation expense	1,800	1,900	1,700
Foreign currency translation	(78,700)	71,400	(12,300)
Financing Receivable, Significant Sales, Transaction Fees	$ 1,100	1,100	$ 1,200
Lease, Term of Contract Not Recognized	12 months
Impairment of Long-Lived Assets Held-for-use	$ 100	$ 6,200
Stock Options [Member]
Antidilutive Securities [Abstract]
Antidilutive securities excluded from computation of earnings per share, amount | shares	0	24,356	638,146
Non Vested Stock [Member]
Antidilutive Securities [Abstract]
Antidilutive securities excluded from computation of earnings per share, amount | shares	195,542	392,909	611,187
Minimum [Member]
General [Line Items]
Number of Processing and Transfer Facilities | Facility	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%
Senior Notes 3.625% Due 2026 [Member] | Senior Notes [Member]
General [Line Items]
Annual interest rate	3.625%				3.625%