Changes in Accumulated Other Comprehensive Loss (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 01, 2022	Jan. 02, 2021	Dec. 28, 2019
AOCI Including Portion Attributable to Noncontrolling Interest, Net of Tax [Roll Forward]
Balance at beginning of year	$ 3,530	$ 3,709	$ 3,229
Balance at end of year	3,735	3,530	3,709
Retirement benefit obligations
AOCI Including Portion Attributable to Noncontrolling Interest, Net of Tax [Roll Forward]
Balance at beginning of year	(29)	(52)	(97)
Other comprehensive income before reclassifications	14	29	44
Balance at end of year	(19)	(29)	(52)
Accumulated Defined Benefit Plans Adjustment Including Portion Attributable to Noncontrolling Interest [Member]
AOCI Including Portion Attributable to Noncontrolling Interest, Net of Tax [Roll Forward]
Total before income tax	14	30	60
Income tax (benefit) provision	4	7	15
Current period comprehensive income, net of tax	10	23	45
Amortization of net loss
AOCI Including Portion Attributable to Noncontrolling Interest, Net of Tax [Roll Forward]
Amounts reclassified from other comprehensive loss, before tax	0	1	4
Settlements
AOCI Including Portion Attributable to Noncontrolling Interest, Net of Tax [Roll Forward]
Settlements	0	0	12
Interest rate swaps
AOCI Including Portion Attributable to Noncontrolling Interest, Net of Tax [Roll Forward]
Balance at beginning of year	(5)	(2)	13
Other comprehensive income before reclassifications	1	(11)	(14)
Amounts reclassified from other comprehensive loss, before tax	5	6	(6)
Total before income tax	6	(5)	(20)
Income tax (benefit) provision	1	(2)	(5)
Current period comprehensive income, net of tax	5	(3)	(15)
Balance at end of year	0	(5)	(2)
Accumulated other comprehensive loss
AOCI Including Portion Attributable to Noncontrolling Interest, Net of Tax [Roll Forward]
Balance at beginning of year	(34)	(54)	(84)
Balance at end of year	$ (19)	$ (34)	$ (54)