Schedule II - Valuation Reserves (Details) - Valuation Reserves - USD ($) $ in Millions	12 Months Ended
	Jan. 01, 2017		Jan. 03, 2016	Dec. 28, 2014
Allowance for doubtful accounts
Movement in Valuation Allowances and Reserves [Roll Forward]
Balance at beginning of year	$ 10.5		$ 10.7	$ 9.9
Charged to costs and expenses	10.2		3.7	4.8
Charged to other accounts	0.8	[1]	0.0	0.5	[1]
Currency exchange effects	(0.8)		(0.5)	(1.9)
Deductions from reserves	(8.2)		(3.4)	(2.6)
Balance at end of year	12.5		10.5	10.7
Deferred tax assets valuation allowance
Movement in Valuation Allowances and Reserves [Roll Forward]
Balance at beginning of year	50.9		58.5	56.3
Charged to costs and expenses	2.4		2.0	7.5
Charged to other accounts	0.0		0.0	0.0
Currency exchange effects	(2.9)		(5.3)	(2.7)
Deductions from reserves	(8.3)		(4.3)	(2.6)
Balance at end of year	$ 42.1		$ 50.9	$ 58.5

[1] Adjustment to provision for sales allowances charged to revenue from services.