Business Acquisitions, Goodwill and Acquired Intangible Assets (Other Acquired Intangible Assets) (Details) - USD ($) $ in Millions	12 Months Ended
	Dec. 29, 2019	Dec. 30, 2018
Schedule of Acquired Intangible Assets by Major Class [Line Items]
Gross carrying amount	$ 597.2	$ 483.6
Accumulated amortization	329.9	290.8
Net carrying amount	267.3	192.8
Total other acquired intangible assets, gross carrying amount	760.7	635.1
Total other acquired intangible assets, net carrying amount	430.8	344.3
Proprietary technology
Schedule of Acquired Intangible Assets by Major Class [Line Items]
Gross carrying amount	397.5	313.7
Accumulated amortization	207.6	179.8
Net carrying amount	189.9	133.9
Customer list/relationships
Schedule of Acquired Intangible Assets by Major Class [Line Items]
Gross carrying amount	177.6	148.8
Accumulated amortization	101.4	90.9
Net carrying amount	76.2	57.9
Patents
Schedule of Acquired Intangible Assets by Major Class [Line Items]
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 Acquired Intangible Assets by Major Class [Line Items]
Gross carrying amount	0.9	0.9
Accumulated amortization	0.9	0.9
Net carrying amount	0.0	0.0
Trademarks
Schedule of Acquired Intangible Assets by Major Class [Line Items]
Gross carrying amount	4.1	3.9
Accumulated amortization	3.3	3.0
Net carrying amount	0.8	0.9
Backlog
Schedule of Acquired Intangible Assets by Major Class [Line Items]
Gross carrying amount	16.4	15.6
Accumulated amortization	16.1	15.6
Net carrying amount	0.3	0.0
Trademarks
Schedule of Acquired Intangible Assets by Major Class [Line Items]
Other acquired intangible assets not subject to amortization	$ 163.5	$ 151.5