Summary of Significant Accounting Policies (Narrative) (Details)	12 Months Ended
	Jan. 03, 2016 USD ($)	Dec. 28, 2014 USD ($)	Dec. 29, 2013 USD ($)
Fiscal Year [Line Items]
Fiscal period, length	371 days	364 days	364 days
Research and Development [Abstract]
Selling, general and administrative expenses include company-funded research and development	$ 163,700,000	$ 166,900,000	$ 167,000,000
Income Tax Disclosure [Abstract]
Number of years of cumulative operating income used to determine income tax valuation allowance	3 years
Accounts Receivable, Net [Abstract]
Reserve for doubtful accounts	$ 6,300,000	7,800,000
Expense of reserve for doubtful accounts	900,000	3,600,000	900,000
Goodwill and Intangible Asset Impairment [Abstract]
Impairment of goodwill	0	0	0
Impairment of intangible assets	$ 500,000	700,000	1,200,000
Deferred Compensation Plan [Abstract]
Deferred compensation employee contribution vesting percentage	1
Cash surrender value of life insurance	$ 47,900,000	49,600,000
Deferred compensation liability	43,900,000	45,800,000
Supplemental Cash Flow Information [Abstract]
Cash payments for federal, foreign and state income taxes	86,500,000	75,000,000	32,800,000
Tax refunds received totaled	4,800,000	2,300,000	3,300,000
Cash payments for interest and credit facility fees totaled	24,200,000	17,600,000	$ 19,700,000
Related Party Transactions [Abstract]
Related party transactions	$ 0	$ 0
Minimum
Fiscal Year [Line Items]
Fiscal period, length	364 days
Maximum
Fiscal Year [Line Items]
Fiscal period, length	371 days