Subsidiary Guarantors of the Public Bonds (Consolidated Condensed Statements of Cash Flow) (Details) (USD $) In Millions, unless otherwise specified	12 Months Ended
	Jan. 03, 2015	Dec. 28, 2013	Dec. 29, 2012
Condensed Cash Flow Statements, Captions [Line Items]
Net cash provided by (used in) operating activities	$ 314.6	$ 202.3	$ 91.6
INVESTING ACTIVITIES
Business acquisition, net of cash acquired	0	0	(1,225.9)
Additions to property, plant and equipment	(30.0)	(41.7)	(14.9)
Proceeds from sales of property, plant and equipment	0	2.8	0
Investments in joint ventures	(1.1)	(2.5)	(2.9)
Other	(3.7)	(3.3)	(2.4)
Net cash used in investing activities	(34.8)	(44.7)	(1,246.1)
FINANCING ACTIVITIES
Net repayments under revolving credit agreement	0	0	(11.0)
Borrowings of long-term debt	0	775.0	1,275.0
Payments of long-term debt	(249.8)	(875.0)	(25.5)
Payments of debt issuance costs	0	(2.3)	(40.1)
Cash dividends paid	(24.0)	(23.7)	(23.6)
Purchase of common stock for treasury	0	0	(2.4)
Purchases of shares under employee stock plans	(10.5)	(0.8)	(11.7)
Proceeds from the exercise of stock options	7.3	8.6	11.6
Excess tax benefits from stock-based compensation	5.6	3.4	9.9
Contributions from noncontrolling interest	1.0	2.0	1.2
Net cash (used) provided by in financing activities	(270.4)	(112.8)	1,183.4
Effect of foreign exchange rate changes	0.2	(2.0)	2.5
Increase (decrease) in cash and cash equivalents	9.6	42.8	31.4
Cash and cash equivalents at beginning of the year	214.2	171.4	140.0
Cash and cash equivalents at end of the year	223.8	214.2	171.4
Parent [Member]
Condensed Cash Flow Statements, Captions [Line Items]
Net cash provided by (used in) operating activities	274.1	127.1	11.0
INVESTING ACTIVITIES
Business acquisition, net of cash acquired			(1,160.7)
Additions to property, plant and equipment	(7.7)	(11.9)	(10.8)
Other	(2.4)	(2.9)	(2.4)
Net cash used in investing activities	(10.1)	(14.8)	(1,173.9)
FINANCING ACTIVITIES
Net repayments under revolving credit agreement			(11.0)
Borrowings of long-term debt		775.0	1,275.0
Payments of long-term debt	(249.8)	(875.0)	(25.0)
Payments of debt issuance costs		(2.3)	(40.1)
Cash dividends paid	(24.0)	(23.7)	(23.6)
Purchase of common stock for treasury			(2.4)
Purchases of shares under employee stock plans	(10.5)	(0.8)	(11.7)
Proceeds from the exercise of stock options	7.3	8.6	11.6
Excess tax benefits from stock-based compensation	5.6	3.4	9.9
Contributions from noncontrolling interest	0	0	0
Net cash (used) provided by in financing activities	(271.4)	(114.8)	1,182.7
Effect of foreign exchange rate changes			0
Increase (decrease) in cash and cash equivalents	(7.4)	(2.5)	19.8
Cash and cash equivalents at beginning of the year	18.8	21.3	1.5
Cash and cash equivalents at end of the year	11.4	18.8	21.3
Subsidiary Guarantors [Member]
Condensed Cash Flow Statements, Captions [Line Items]
Net cash provided by (used in) operating activities	9.1	(10.0)	26.0
INVESTING ACTIVITIES
Business acquisition, net of cash acquired			23.6
Additions to property, plant and equipment	(19.6)	(25.0)	(4.1)
Proceeds from sales of property, plant and equipment		2.8
Other	(1.2)	(1.3)
Net cash used in investing activities	(20.8)	(23.5)	19.5
FINANCING ACTIVITIES
Net repayments under revolving credit agreement			0
Borrowings of long-term debt		0	0
Payments of debt issuance costs		0	0
Purchase of common stock for treasury			0
Contributions from noncontrolling interest	0	0	0
Net cash (used) provided by in financing activities	0	0	0
Effect of foreign exchange rate changes			0
Increase (decrease) in cash and cash equivalents	(11.7)	(33.5)	45.5
Cash and cash equivalents at beginning of the year	15.0	48.5	3.0
Cash and cash equivalents at end of the year	3.3	15.0	48.5
Non-Guarantor Subsidiaries [Member]
Condensed Cash Flow Statements, Captions [Line Items]
Net cash provided by (used in) operating activities	31.4	85.2	54.6
INVESTING ACTIVITIES
Business acquisition, net of cash acquired			(88.8)
Additions to property, plant and equipment	(2.7)	(4.8)	0
Investments in joint ventures	(1.1)	(2.5)	(2.9)
Other	(0.1)	0.9
Net cash used in investing activities	(3.9)	(6.4)	(91.7)
FINANCING ACTIVITIES
Net repayments under revolving credit agreement			0
Borrowings of long-term debt		0	0
Payments of long-term debt			(0.5)
Payments of debt issuance costs		0	0
Purchase of common stock for treasury			0
Contributions from noncontrolling interest	1.0	2.0	1.2
Net cash (used) provided by in financing activities	1.0	2.0	0.7
Effect of foreign exchange rate changes	0.2	(2.0)	2.5
Increase (decrease) in cash and cash equivalents	28.7	78.8	(33.9)
Cash and cash equivalents at beginning of the year	180.4	101.6	135.5
Cash and cash equivalents at end of the year	209.1	180.4	101.6
Eliminations [Member]
Condensed Cash Flow Statements, Captions [Line Items]
Net cash provided by (used in) operating activities			0
INVESTING ACTIVITIES
Net cash used in investing activities			0
FINANCING ACTIVITIES
Net repayments under revolving credit agreement			0
Net cash (used) provided by in financing activities			0
Effect of foreign exchange rate changes			0
Increase (decrease) in cash and cash equivalents			0
Cash and cash equivalents at beginning of the year			0
Cash and cash equivalents at end of the year	$ 0	$ 0	$ 0