Revenue (Disaggregation by Revenue Type and Geographical Region) (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Sep. 27, 2019	Sep. 28, 2018	Sep. 27, 2019	Sep. 28, 2018
Disaggregation of Revenue [Line Items]
Sales	$ 659.3	$ 679.5	$ 2,031.1	$ 2,085.5
North America
Disaggregation of Revenue [Line Items]
Sales	327.7	339.8	966.4	977.2
Western Europe
Disaggregation of Revenue [Line Items]
Sales	127.5	137.2	443.7	483.3
Other developed markets
Disaggregation of Revenue [Line Items]
Sales	45.6	42.5	131.0	133.5
High-growth markets (a)
Disaggregation of Revenue [Line Items]
Sales	158.5	160.0	490.0	491.5
Specialty Products & Technologies
Disaggregation of Revenue [Line Items]
Sales	317.8	318.3
Specialty Products & Technologies | North America
Disaggregation of Revenue [Line Items]
Sales	148.8	149.9
Specialty Products & Technologies | Western Europe
Disaggregation of Revenue [Line Items]
Sales	62.1	66.0
Specialty Products & Technologies | Other developed markets
Disaggregation of Revenue [Line Items]
Sales	23.9	22.3
Specialty Products & Technologies | High-growth markets (a)
Disaggregation of Revenue [Line Items]
Sales	83.0	80.1
Equipment & Consumables
Disaggregation of Revenue [Line Items]
Sales	341.5	361.2
Equipment & Consumables | North America
Disaggregation of Revenue [Line Items]
Sales	178.9	189.9
Equipment & Consumables | Western Europe
Disaggregation of Revenue [Line Items]
Sales	65.4	71.2
Equipment & Consumables | Other developed markets
Disaggregation of Revenue [Line Items]
Sales	21.7	20.2
Equipment & Consumables | High-growth markets (a)
Disaggregation of Revenue [Line Items]
Sales	75.5	79.9
Operating segments | Specialty Products & Technologies
Disaggregation of Revenue [Line Items]
Sales	317.8	318.3	1,013.9	1,022.6
Operating segments | Specialty Products & Technologies | North America
Disaggregation of Revenue [Line Items]
Sales			450.7	447.1
Operating segments | Specialty Products & Technologies | Western Europe
Disaggregation of Revenue [Line Items]
Sales			234.7	253.2
Operating segments | Specialty Products & Technologies | Other developed markets
Disaggregation of Revenue [Line Items]
Sales			70.7	73.1
Operating segments | Specialty Products & Technologies | High-growth markets (a)
Disaggregation of Revenue [Line Items]
Sales			257.8	249.2
Operating segments | Equipment & Consumables
Disaggregation of Revenue [Line Items]
Sales	341.5	361.2	1,017.2	1,062.9
Operating segments | Equipment & Consumables | North America
Disaggregation of Revenue [Line Items]
Sales			515.7	530.1
Operating segments | Equipment & Consumables | Western Europe
Disaggregation of Revenue [Line Items]
Sales			209.0	230.1
Operating segments | Equipment & Consumables | Other developed markets
Disaggregation of Revenue [Line Items]
Sales			60.3	60.4
Operating segments | Equipment & Consumables | High-growth markets (a)
Disaggregation of Revenue [Line Items]
Sales			232.2	242.3
Recurring revenue
Disaggregation of Revenue [Line Items]
Sales	479.4	478.2	1,489.3	1,513.5
Recurring revenue | Specialty Products & Technologies
Disaggregation of Revenue [Line Items]
Sales	298.4	299.5
Recurring revenue | Equipment & Consumables
Disaggregation of Revenue [Line Items]
Sales	181.0	178.7
Recurring revenue | Operating segments | Specialty Products & Technologies
Disaggregation of Revenue [Line Items]
Sales			956.6	970.5
Recurring revenue | Operating segments | Equipment & Consumables
Disaggregation of Revenue [Line Items]
Sales			532.7	543.0
Nonrecurring revenue
Disaggregation of Revenue [Line Items]
Sales	179.9	201.3	541.8	572.0
Nonrecurring revenue | Specialty Products & Technologies
Disaggregation of Revenue [Line Items]
Sales	19.4	18.8
Nonrecurring revenue | Equipment & Consumables
Disaggregation of Revenue [Line Items]
Sales	$ 160.5	$ 182.5
Nonrecurring revenue | Operating segments | Specialty Products & Technologies
Disaggregation of Revenue [Line Items]
Sales			57.3	52.1
Nonrecurring revenue | Operating segments | Equipment & Consumables
Disaggregation of Revenue [Line Items]
Sales			$ 484.5	$ 519.9