Condensed Consolidated Statements of Stockholders' Equity - USD ($) shares in Millions, $ in Millions	Total	Common stock	Additional Paid-In Capital	Retained Earnings	Accumulated Other Comprehensive Loss	Total Stockholders’ Equity	Noncontrolling Interest
Beginning balance (in shares) at Jan. 03, 2020		249.9
Beginning balance at Jan. 03, 2020	$ 3,120.4	$ 0.2	$ 1,692.8	$ 1,602.8	$ (176.8)	$ 3,119.0	$ 1.4
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income	61.9			61.9		61.9
Other comprehensive income (loss)	(54.1)				(54.1)	(54.1)
Comprehensive income	7.8					7.8
Issuance of common stock under employee plans, net of tax withholdings (in shares)		1.0
Issuance of common stock under employee plans, net of tax withholdings	12.7		20.4	(7.7)		12.7
Stock repurchases (in shares)		(1.2)
Stock repurchases	(50.0)		(8.4)	(41.6)		(50.0)
Stock-based compensation	11.8		11.8			11.8
Noncontrolling interest investment	(0.4)						(0.4)
Ending balance (in shares) at Apr. 03, 2020		249.7
Ending balance at Apr. 03, 2020	3,102.3	$ 0.2	1,716.6	1,615.4	(230.9)	3,101.3	1.0
Beginning balance (in shares) at Jan. 03, 2020		249.9
Beginning balance at Jan. 03, 2020	3,120.4	$ 0.2	1,692.8	1,602.8	(176.8)	3,119.0	1.4
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income	125.1
Comprehensive income	103.6
Ending balance (in shares) at Jul. 03, 2020		250.2
Ending balance at Jul. 03, 2020	3,213.1	$ 0.2	1,737.6	1,672.4	(198.3)	3,211.9	1.2
Beginning balance (in shares) at Apr. 03, 2020		249.7
Beginning balance at Apr. 03, 2020	3,102.3	$ 0.2	1,716.6	1,615.4	(230.9)	3,101.3	1.0
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income	63.2			63.0		63.0	0.2
Other comprehensive income (loss)	32.6				32.6	32.6
Comprehensive income	95.8					95.6
Issuance of common stock under employee plans, net of tax withholdings (in shares)		0.5
Issuance of common stock under employee plans, net of tax withholdings	(4.1)		1.9	(6.0)		(4.1)
Stock-based compensation	19.1		19.1			19.1
Ending balance (in shares) at Jul. 03, 2020		250.2
Ending balance at Jul. 03, 2020	$ 3,213.1	$ 0.2	1,737.6	1,672.4	(198.3)	3,211.9	1.2
Beginning balance (in shares) at Jan. 01, 2021	250.8	250.8
Beginning balance at Jan. 01, 2021	$ 3,598.6	$ 0.3	1,801.7	1,893.4	(98.5)	3,596.9	1.7
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income	114.6			114.5		114.5	0.1
Other comprehensive income (loss)	(31.5)				(31.5)	(31.5)
Comprehensive income	83.1					83.0
Issuance of common stock under employee plans, net of tax withholdings (in shares)		0.7
Issuance of common stock under employee plans, net of tax withholdings	8.0		18.2	(10.2)		8.0
Stock repurchases (in shares)		(0.6)
Stock repurchases	(40.0)		(4.1)	(35.9)		(40.0)
Stock-based compensation	25.1		25.1			25.1
Noncontrolling interest investment	(1.2)		0.6			0.6	(1.8)
Ending balance (in shares) at Apr. 02, 2021		250.9
Ending balance at Apr. 02, 2021	$ 3,673.6	$ 0.3	1,841.5	1,961.8	(130.0)	3,673.6	0.0
Beginning balance (in shares) at Jan. 01, 2021	250.8	250.8
Beginning balance at Jan. 01, 2021	$ 3,598.6	$ 0.3	1,801.7	1,893.4	(98.5)	3,596.9	1.7
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income	253.5
Comprehensive income	$ 240.1
Ending balance (in shares) at Jul. 02, 2021	251.6	251.6
Ending balance at Jul. 02, 2021	$ 3,838.6	$ 0.3	1,873.0	2,077.2	(111.9)	3,838.6	0.0
Beginning balance (in shares) at Apr. 02, 2021		250.9
Beginning balance at Apr. 02, 2021	3,673.6	$ 0.3	1,841.5	1,961.8	(130.0)	3,673.6	0.0
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income	138.9			138.9		138.9
Other comprehensive income (loss)	18.1				18.1	18.1
Comprehensive income	157.0					157.0
Issuance of common stock under employee plans, net of tax withholdings (in shares)		0.7
Issuance of common stock under employee plans, net of tax withholdings	(25.3)		(1.8)	(23.5)		(25.3)
Stock-based compensation	$ 33.3		33.3			33.3
Ending balance (in shares) at Jul. 02, 2021	251.6	251.6
Ending balance at Jul. 02, 2021	$ 3,838.6	$ 0.3	$ 1,873.0	$ 2,077.2	$ (111.9)	$ 3,838.6	$ 0.0