Condensed Consolidated Statements of Stockholders' Equity (unaudited) - USD ($) shares in Millions, $ in Millions	Total	Total Stockholders’ Equity	Common stock	Additional Paid-In Capital	Retained Earnings	Accumulated Other Comprehensive Loss	Noncontrolling Interest
Beginning balance (in shares) at Jan. 03, 2020			249.9
Beginning balance at Jan. 03, 2020	$ 3,120.4	$ 3,119.0	$ 0.2	$ 1,692.8	$ 1,602.8	$ (176.8)	$ 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	12.7		20.4	(7.7)
Stock repurchases (in shares)			(1.2)
Stock repurchases	(50.0)	(50.0)		(8.4)	(41.6)
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	3,101.3	$ 0.2	1,716.6	1,615.4	(230.9)	1.0
Beginning balance (in shares) at Jan. 03, 2020			249.9
Beginning balance at Jan. 03, 2020	3,120.4	3,119.0	$ 0.2	1,692.8	1,602.8	(176.8)	1.4
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income	209.9
Comprehensive income	225.7
Ending balance (in shares) at Oct. 02, 2020			250.2
Ending balance at Oct. 02, 2020	3,351.3	3,350.0	$ 0.3	1,778.7	1,732.0	(161.0)	1.3
Beginning balance (in shares) at Apr. 03, 2020			249.7
Beginning balance at Apr. 03, 2020	3,102.3	3,101.3	$ 0.2	1,716.6	1,615.4	(230.9)	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)	(4.1)		1.9	(6.0)
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	3,211.9	$ 0.2	1,737.6	1,672.4	(198.3)	1.2
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income	84.8	84.7			84.7		0.1
Other comprehensive income (loss)	37.3	37.3				37.3
Comprehensive income	122.1	122.0
Issuance of common stock under employee plans, net of tax withholdings (in shares)			0.6
Issuance of common stock under employee plans, net of tax withholdings	16.7	16.7	$ 0.1	17.8	(1.2)
Stock repurchases (in shares)			(0.6)
Stock repurchases	(28.0)	(28.0)		(4.1)	(23.9)
Stock-based compensation	27.4	27.4		27.4
Ending balance (in shares) at Oct. 02, 2020			250.2
Ending balance at Oct. 02, 2020	$ 3,351.3	3,350.0	$ 0.3	1,778.7	1,732.0	(161.0)	1.3
Beginning balance (in shares) at Jan. 01, 2021	250.8		250.8
Beginning balance at Jan. 01, 2021	$ 3,598.6	3,596.9	$ 0.3	1,801.7	1,893.4	(98.5)	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	8.0		18.2	(10.2)
Stock repurchases (in shares)			(0.6)
Stock repurchases	(40.0)	(40.0)		(4.1)	(35.9)
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	3,673.6	$ 0.3	1,841.5	1,961.8	(130.0)	0.0
Beginning balance (in shares) at Jan. 01, 2021	250.8		250.8
Beginning balance at Jan. 01, 2021	$ 3,598.6	3,596.9	$ 0.3	1,801.7	1,893.4	(98.5)	1.7
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income	377.5
Comprehensive income	$ 335.4
Ending balance (in shares) at Oct. 01, 2021	251.0		251.0
Ending balance at Oct. 01, 2021	$ 3,881.8	3,881.8	$ 0.3	1,914.4	2,107.7	(140.6)	0.0
Beginning balance (in shares) at Apr. 02, 2021			250.9
Beginning balance at Apr. 02, 2021	3,673.6	3,673.6	$ 0.3	1,841.5	1,961.8	(130.0)	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)	(25.3)		(1.8)	(23.5)
Stock-based compensation	33.3	33.3		33.3
Ending balance (in shares) at Jul. 02, 2021			251.6
Ending balance at Jul. 02, 2021	3,838.6	3,838.6	$ 0.3	1,873.0	2,077.2	(111.9)	0.0
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income	124.0	124.0			124.0
Other comprehensive income (loss)	(28.7)	(28.7)				(28.7)
Comprehensive income	95.3	95.3
Issuance of common stock under employee plans, net of tax withholdings (in shares)			0.4
Issuance of common stock under employee plans, net of tax withholdings	18.4	18.4		20.0	(1.6)
Stock repurchases (in shares)			(1.0)
Stock repurchases	(100.0)	(100.0)		(8.1)	(91.9)
Stock-based compensation	$ 29.5	29.5		29.5
Ending balance (in shares) at Oct. 01, 2021	251.0		251.0
Ending balance at Oct. 01, 2021	$ 3,881.8	$ 3,881.8	$ 0.3	$ 1,914.4	$ 2,107.7	$ (140.6)	$ 0.0