Acquisitions and Divestitures (Narrative) (Details)							3 Months Ended								12 Months Ended
	Jul. 07, 2016 USD ($) installment	Jun. 01, 2016 USD ($)	Jan. 18, 2016 USD ($)	Jan. 30, 2015 USD ($)	Jun. 30, 2014 USD ($)	Feb. 07, 2014 USD ($)	Dec. 31, 2016 USD ($)	Oct. 01, 2016 USD ($)	Jul. 02, 2016 USD ($)	Apr. 02, 2016 USD ($)	Jan. 02, 2016 USD ($)	Oct. 03, 2015 USD ($)	Jul. 04, 2015 USD ($)	Apr. 04, 2015 USD ($)	Dec. 31, 2016 USD ($)	Jan. 02, 2016 USD ($)	Jan. 03, 2015 USD ($)
Business Acquisition [Line Items]
Acquisition-related expenses															$ 0	$ 9,100,000	$ 5,800,000
Net Sales							$ 758,100,000	$ 809,600,000	$ 838,600,000	$ 818,200,000	$ 773,500,000	$ 882,300,000	$ 942,200,000	$ 911,700,000	3,224,500,000	3,509,700,000	3,257,100,000
Income from Operations							70,100,000	89,800,000	91,400,000	69,300,000	(14,100,000)	100,100,000	103,200,000	63,600,000	320,600,000	252,800,000	121,500,000
Proceeds from Disposal of Business															24,600,000	0	0
Power Transmission Solutions
Business Acquisition [Line Items]
Net Sales							173,700,000	169,700,000	189,400,000	200,800,000	192,500,000	191,100,000	215,100,000	174,900,000	733,600,000	773,600,000	266,200,000
Income from Operations							22,600,000	11,400,000	30,200,000	23,000,000	16,700,000	20,600,000	18,000,000	(3,100,000)
Commercial and Industrial Systems
Business Acquisition [Line Items]
Net Sales							369,200,000	389,400,000	394,700,000	377,600,000	370,700,000	426,800,000	441,000,000	456,400,000	$ 1,530,900,000	1,694,900,000	1,856,100,000
Income from Operations							$ 20,500,000	$ 36,200,000	$ 25,100,000	$ 21,700,000	$ (59,700,000)	$ 38,800,000	$ 41,500,000	$ 33,300,000
Mastergear [Member] | Operating Expenses | Disposal Group, Disposed of by Sale, Not Discontinued Operations [Member]
Business Acquisition [Line Items]
Gain (loss) from divestiture of business		$ 11,600,000
Mastergear [Member] | Power Transmission Solutions | Disposal Group, Disposed of by Sale, Not Discontinued Operations [Member]
Business Acquisition [Line Items]
Consideration for disposal		$ 24,600,000
Venezuelan Subsidiary [Member] | Disposal Group, Disposed of by Sale, Not Discontinued Operations [Member]
Business Acquisition [Line Items]
Proceeds from Disposal of Business	$ 1,000,000
Deferred gain on disposal	$ 2,000,000
Number of installments | installment	24
Venezuelan Subsidiary [Member] | Commercial and Industrial Systems | Disposal Group, Disposed of by Sale, Not Discontinued Operations [Member]
Business Acquisition [Line Items]
Consideration for disposal	$ 3,000,000
Jinling [Member] | Commercial and Industrial Systems | Operating Expenses
Business Acquisition [Line Items]
Gain (loss) from divestiture of business																	$ (1,900,000)
Unsecured Debt [Member] | Credit Agreement Effective January 2015 [Member]
Business Acquisition [Line Items]
Debt term				5 years
Principal amount				$ 1,250,000,000.00
Elco Group B.V. [Member]
Business Acquisition [Line Items]
Consideration transferred			$ 19,600,000.0
Equity interest in acquiree			55.00%
Equity interest in acquiree including subsequent acquisition			100.00%
Power Transmission Solutions
Business Acquisition [Line Items]
Consideration transferred				$ 1,408,900,000
Goodwill, expected tax deductible percent				65.00%
Net assets acquired				$ 1,408,900,000
Net Sales																512,900,000
Income from Operations																14,500,000
Purchase accounting adjustments and transaction costs																$ 29,800,000
Power Transmission Solutions | Level 3
Business Acquisition [Line Items]
Net assets acquired				$ 1,408,900,000
Benshaw, Inc. [Member]
Business Acquisition [Line Items]
Net assets acquired					$ 51,000,000
Consideration transferred, cash					$ 51,000,000
Hy-Bon Engineering Company, Inc. [Member]
Business Acquisition [Line Items]
Net assets acquired						$ 78,000,000
Consideration transferred, cash						$ 78,000,000