Consolidated Statements of Shareholders' Equity - USD ($) $ in Millions	Total	Common Stock	Additional Paid-In Capital	Accumulated Earnings (Deficit)	Accumulated Other Comprehensive Loss
Balance at beginning of year (in shares) at Jan. 02, 2016		167,000,000
Balance at beginning of year at Jan. 02, 2016	$ 1,873	$ 1	$ 2,292	$ (346)	$ (74)
Settlements/reclassifications of redeemable common stock (in shares)		3,000,000
Settlements/reclassifications of redeemable common stock	43		43
Share-based compensation expense	15		15
Net proceeds from initial public offering (in shares)		51,000,000
Net proceeds from initial public offering	1,114	$ 1	1,113
Cash distribution to shareholders ($3.94 per share - Note 15)	(666)		(666)
Proceeds from employee share purchase plan	3		3
Common stock and share-based awards settled	(9)		(9)
Changes in retirement benefit obligations, net of income tax	(45)				(45)
Net income	210			210
Balance at end of year at Dec. 31, 2016	2,538	$ 2	2,791	(136)	(119)
Balance at end of year (in shares) at Dec. 31, 2016		221,000,000
Share-based compensation expense	19		19
Proceeds from employee share purchase plan (in shares)		1,000,000
Proceeds from employee share purchase plan	16		16
Exercise of stock options (in shares)		2,000,000
Exercise of stock options	18		18
Net share-settled stock options (in shares)		1,000,000
Net share-settled stock options			0
Tax withholding payments for net share-settled equity awards	(28)		(28)
Common stock repurchased (in shares)		(10,000,000)
Common stock repurchased	(280)		(96)	(184)
Changes in retirement benefit obligations, net of income tax	16				16
Unrecognized gain on interest rate swaps, net of income tax	8				8
Net income	444			444
Balance at end of year at Dec. 30, 2017	2,751	$ 2	2,720	124	(95)
Balance at end of year (in shares) at Dec. 30, 2017		215,000,000
Share-based compensation expense	28		28
Proceeds from employee share purchase plan (in shares)		1,000,000
Proceeds from employee share purchase plan	$ 19		19
Exercise of stock options (in shares)	1,426,124	1,000,000
Exercise of stock options	$ 19		19
Tax withholding payments for net share-settled equity awards	(6)		(6)
Changes in retirement benefit obligations, net of income tax	6				6
Unrecognized gain on interest rate swaps, net of income tax	5				5
Net income	407			407
Balance at end of year at Dec. 29, 2018	$ 3,229	$ 2	$ 2,780	$ 531	$ (84)
Balance at end of year (in shares) at Dec. 29, 2018		217,000,000