Schedule II - Valuation Reserves (Details) - Valuation Reserves - USD ($) $ in Millions	12 Months Ended
	Dec. 31, 2017		Jan. 01, 2017	Jan. 03, 2016
Allowance for doubtful accounts
Movement in Valuation Allowances and Reserves [Roll Forward]
Balance at beginning of year	$ 12.5		$ 10.5	$ 10.7
Charged to costs and expenses	5.3		10.2	3.7
Charged to other accounts	0.3	[1]	0.8	0.0	[1]
Currency exchange effects	0.6		(0.8)	(0.5)
Deductions from reserves	(5.8)		(8.2)	(3.4)
Balance at end of year	12.9		12.5	10.5
Deferred tax assets valuation allowance
Movement in Valuation Allowances and Reserves [Roll Forward]
Balance at beginning of year	42.1		50.9	58.5
Charged to costs and expenses	1.7		2.4	2.0
Charged to other accounts	0.0		0.0	0.0
Currency exchange effects	3.3		(2.9)	(5.3)
Deductions from reserves	(12.5)		(8.3)	(4.3)
Balance at end of year	$ 34.6		$ 42.1	$ 50.9

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