Consolidated Statements Of Shareholders' Equity - USD ($) shares in Millions, $ in Millions	Total	Common Stock [Member]	Additional Paid-in Capital [Member]	Retained Earnings [Member]	Accumulated Other Comprehensive Income/(Loss) [Member]	Parent [Member]	Noncontrolling Interest [Member]
Balance at Jan. 02, 2015	$ 2,353.4	$ 0.3	$ 1,207.0	$ 1,211.0	$ (76.7)	$ 2,341.6	$ 11.8
Balance, shares at Jan. 02, 2015		259.2
Net income	120.7			121.1		121.1	(0.4)
Net gain (loss) attributable to noncontrolling interests	(0.4)
Other comprehensive loss	(90.1)				(90.1)	(90.1)
Comprehensive income	30.6					31.0
Issuance of common stock under employee plans, net of tax withholding - Shares		2.7
Issuance of common stock under employee plans, net of tax withholdings	29.7		33.3			29.7
Adjustments Related to Tax Withholding for Share-based Compensation				(3.6)
Stock Repurchase, Shares		(11.2)
Stock repurchase	(234.4)		(54.1)	(180.3)		(234.4)
Stock based compensation	50.9		50.9			50.9
Noncontrolling interest investments, Increase	(10.5)		0.0			0.0	(10.5)
Tax benefit from stock option exercises	0.9		0.9			0.9
Balance at Jan. 01, 2016	2,220.6	$ 0.3	1,238.0	1,148.2	(166.8)	2,219.7	0.9
Balance, shares at Jan. 01, 2016		250.7
Net income	132.2			132.4		132.4	(0.2)
Net gain (loss) attributable to noncontrolling interests	(0.2)
Other comprehensive loss	(53.1)				(53.1)	(53.1)
Comprehensive income	79.1					79.3
Issuance of common stock under employee plans, net of tax withholding - Shares		5.5
Issuance of common stock under employee plans, net of tax withholdings	67.9		76.7			67.9
Adjustments Related to Tax Withholding for Share-based Compensation				(8.8)
Stock Repurchase, Shares		(4.9)
Stock repurchase	(119.5)		(24.8)	(94.7)		(119.5)
Stock based compensation	53.2		53.2			53.2
Noncontrolling interest investments, Increase	0.0		(0.8)			0.8	(0.8)
Tax benefit from stock option exercises	4.4		4.4			4.4
Balance at Dec. 30, 2016	$ 2,305.7	$ 0.3	1,348.3	1,177.1	(219.9)	2,305.8	(0.1)
Balance, shares at Dec. 30, 2016	251.3	251.3
Net income	$ 121.2			121.1		121.1
Net gain (loss) attributable to noncontrolling interests	0.1						0.1
Other comprehensive loss	88.7				88.7	88.7
Comprehensive income	209.9					209.8
Issuance of common stock under employee plans, net of tax withholding - Shares		5.0
Issuance of common stock under employee plans, net of tax withholdings	73.3		90.0			73.3
Adjustments Related to Tax Withholding for Share-based Compensation				(16.7)
Stock Repurchase, Shares		(7.4)
Stock repurchase	(288.3)	$ (0.1)	(42.2)	(246.0)		(288.3)
Stock based compensation	65.0		65.0			65.0
Noncontrolling interest investments, Increase	0.0					0.0	0.0
Tax benefit from stock option exercises	0.4		0.0	0.4		0.4
Balance at Dec. 29, 2017	$ 2,366.0	$ 0.2	$ 1,461.1	$ 1,035.9	$ (131.2)	$ 2,366.0	$ 0.0
Balance, shares at Dec. 29, 2017	248.9	248.9