Business Acquisitions, Goodwill and Acquired Intangible Assets (Acquired Intangible Assets) (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 01, 2017	Jan. 03, 2016	Dec. 28, 2014
Schedule of Intangible Assets, Including Goodwill [Line Items]
Weighted average useful life in years	4 years 9 months 18 days
Goodwill	$ 1,193.5	$ 1,140.2	$ 1,150.6
Gross carrying amount	347.2	330.4
Accumulated amortization	214.9	189.1
Net carrying amount	132.3	141.3
Acquired intangibles, net	234.6	243.3
Trademarks
Schedule of Intangible Assets, Including Goodwill [Line Items]
Intangibles not subject to amortization	$ 102.3	102.0
Proprietary technology
Schedule of Intangible Assets, Including Goodwill [Line Items]
Weighted average useful life in years	4 years 7 months 5 days
Gross carrying amount	$ 207.2	198.6
Accumulated amortization	130.1	114.2
Net carrying amount	$ 77.1	84.4
Customer list/relationships
Schedule of Intangible Assets, Including Goodwill [Line Items]
Weighted average useful life in years	5 years 3 months 20 days
Gross carrying amount	$ 121.9	114.3
Accumulated amortization	68.3	58.8
Net carrying amount	$ 53.6	55.5
Backlog
Schedule of Intangible Assets, Including Goodwill [Line Items]
Weighted average useful life in years	3 months
Gross carrying amount	$ 12.7	12.5
Accumulated amortization	12.6	12.5
Net carrying amount	$ 0.1	0.0
Trademarks
Schedule of Intangible Assets, Including Goodwill [Line Items]
Weighted average useful life in years	4 years 10 months 25 days
Gross carrying amount	$ 3.8	3.4
Accumulated amortization	2.4	2.1
Net carrying amount	$ 1.4	1.3
Patents
Schedule of Intangible Assets, Including Goodwill [Line Items]
Weighted average useful life in years	4 years 3 months 17 days
Gross carrying amount	$ 0.7	0.7
Accumulated amortization	0.6	0.6
Net carrying amount	0.1	0.1
Non-compete agreements
Schedule of Intangible Assets, Including Goodwill [Line Items]
Gross carrying amount	0.9	0.9
Accumulated amortization	0.9	0.9
Net carrying amount	0.0	0.0
Acquisitions in 2016
Schedule of Intangible Assets, Including Goodwill [Line Items]
Intangibles subject to amortization	$ 20.1
Weighted average useful life in years	10 years 9 months 8 days
Total acquired intangible assets	$ 22.7
Goodwill	64.0
Acquisitions in 2016 | Trademarks
Schedule of Intangible Assets, Including Goodwill [Line Items]
Intangibles not subject to amortization	2.6
Acquisitions in 2016 | Proprietary technology
Schedule of Intangible Assets, Including Goodwill [Line Items]
Intangibles subject to amortization	$ 10.4
Weighted average useful life in years	9 years 5 months
Acquisitions in 2016 | Customer list/relationships
Schedule of Intangible Assets, Including Goodwill [Line Items]
Intangibles subject to amortization	$ 8.9
Weighted average useful life in years	13 years 2 months
Acquisitions in 2016 | Backlog
Schedule of Intangible Assets, Including Goodwill [Line Items]
Intangibles subject to amortization	$ 0.3
Weighted average useful life in years	3 months 20 days
Acquisitions in 2016 | Trademarks
Schedule of Intangible Assets, Including Goodwill [Line Items]
Intangibles subject to amortization	$ 0.5
Weighted average useful life in years	3 years 1 day
Acquisitions in 2015
Schedule of Intangible Assets, Including Goodwill [Line Items]
Intangibles subject to amortization		$ 8.7
Weighted average useful life in years		9 years 4 months 8 days
Total acquired intangible assets		$ 11.0
Goodwill		27.6
Acquisitions in 2015 | Trademarks
Schedule of Intangible Assets, Including Goodwill [Line Items]
Intangibles not subject to amortization		2.3
Acquisitions in 2015 | Proprietary technology
Schedule of Intangible Assets, Including Goodwill [Line Items]
Intangibles subject to amortization		$ 5.7
Weighted average useful life in years		9 years 11 months 8 days
Acquisitions in 2015 | Customer list/relationships
Schedule of Intangible Assets, Including Goodwill [Line Items]
Intangibles subject to amortization		$ 3.0
Weighted average useful life in years		8 years 3 months 8 days
Acquisitions in 2015 | Backlog
Schedule of Intangible Assets, Including Goodwill [Line Items]
Intangibles subject to amortization		$ 0.0
Acquisitions in 2015 | Trademarks
Schedule of Intangible Assets, Including Goodwill [Line Items]
Intangibles subject to amortization		$ 0.0