Retirement Plans Funded Status of the Defined Benefit Plans (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 01, 2022	Jan. 02, 2021	Dec. 28, 2019	Dec. 29, 2018
Change in benefit obligation:
Actuarial (gain) loss		$ 98	$ 100
Change in plan assets:
Fair value of plan assets as of beginning of year	$ 1,112
Fair value of plan assets as of end of year	1,103	1,112
Amounts recognized in the consolidated balance sheets consist of the following:
Accrued benefit obligation—noncurrent	(6)	(8)
Pension Benefits
Change in benefit obligation:
Benefit obligation as of beginning of year	1,061	903	871
Service cost	3	3	2
Interest cost	29	32	37
Actuarial (gain) loss	(30)	98	100
Settlements	0	0	(84)
Benefit disbursements	(47)	(45)	(23)
Smart Foodservice assumed benefit obligations	0	70	0
Benefit obligation as of end of year	1,016	1,061	903
Change in plan assets:
Fair value of plan assets as of beginning of year	1,112	923	836
Return on plan assets	38	183	193
Employer contribution	0	0	1
Settlements	0	0	(84)
Benefit disbursements	(47)	(45)	(23)
Smart Foodservice acquired plan assets	0	51	0
Fair value of plan assets as of end of year	1,103	1,112	923
Net funded status	87	51	20	$ (35)
Amounts recognized in the consolidated balance sheets consist of the following:
Prepaid benefit obligation—noncurrent	89	53	22
Accrued benefit obligation—noncurrent	(1)	(2)	(2)
Net amount recognized in the consolidated balance sheets	88	51	20
Amounts recognized in accumulated other comprehensive loss consist of the following:
Net loss	85	98	129
Net loss recognized in accumulated other comprehensive loss	85	98	129
Accumulated benefit obligation	1,012	1,057	899
Other Postretirement Plans
Change in benefit obligation:
Benefit obligation as of beginning of year	6	6	6
Benefit disbursements	(1)	(1)	(1)
Other	1	1	1
Benefit obligation as of end of year	6	6	6
Change in plan assets:
Fair value of plan assets as of beginning of year	0	0	0
Employer contribution	1	1	1
Benefit disbursements	(1)	(1)	(1)
Fair value of plan assets as of end of year	0	0	0
Net funded status	(6)	(6)	(6)
Amounts recognized in the consolidated balance sheets consist of the following:
Accrued benefit obligation—current	(1)	0	(1)
Accrued benefit obligation—noncurrent	(5)	(6)	(5)
Net amount recognized in the consolidated balance sheets	(6)	(6)	(6)
Amounts recognized in accumulated other comprehensive loss consist of the following:
Net loss	1	0	1
Net loss recognized in accumulated other comprehensive loss	1	0	1
Accumulated benefit obligation	$ 6	$ 6	$ 6