Acquisitions - Recognized Identified Assets Acquired and Liabilities Assumed (Details) - USD ($) $ in Millions	Dec. 31, 2021	Dec. 31, 2020	Dec. 31, 2019
Business Acquisition [Line Items]
Goodwill	$ 9,152.0	$ 7,359.2	$ 7,241.5
Provation And Service Channel Acquisition
Business Acquisition [Line Items]
Accounts receivable	49.6
Goodwill	1,843.0
Other intangible assets, primarily customer relationships, trade names and technology	929.4
Deferred revenue, current	(51.9)
Deferred tax liabilities	(170.2)
Other assets and liabilities, net	(27.6)
Net cash consideration	2,572.3
Provation
Business Acquisition [Line Items]
Accounts receivable	39.6
Goodwill	969.6
Other intangible assets, primarily customer relationships, trade names and technology	586.5
Deferred revenue, current	(50.2)
Deferred tax liabilities	(119.4)
Other assets and liabilities, net	(20.5)
Net cash consideration	1,405.6
ServiceChannel
Business Acquisition [Line Items]
Accounts receivable	10.0
Goodwill	873.4
Other intangible assets, primarily customer relationships, trade names and technology	342.9
Deferred revenue, current	(1.7)
Deferred tax liabilities	(50.8)
Other assets and liabilities, net	(7.1)
Net cash consideration	1,166.7
2021 Acquisitions
Business Acquisition [Line Items]
Accounts receivable	49.8
Inventories	11.5
Property, plant and equipment	5.2
Goodwill	1,840.8
Other intangible assets, primarily customer relationships, trade names and technology	929.4
Prepaid acquisition asset related to ASP Non-Principal Countries	0.0
Trade accounts payable	(10.4)
Other assets and liabilities, net	(256.2)
Net cash consideration	2,570.1
ASP
Business Acquisition [Line Items]
Inventories	211.1
Property, plant and equipment	51.7
Goodwill	1,450.2
Other intangible assets, primarily customer relationships, trade names and technology	1,123.5
Other assets and liabilities, net	(94.5)
Net cash consideration	$ 2,742.0
2020 Acquisitions
Business Acquisition [Line Items]
Accounts receivable		0.1
Inventories		26.9
Property, plant and equipment		5.0
Goodwill		30.9
Other intangible assets, primarily customer relationships, trade names and technology		9.5
Prepaid acquisition asset related to ASP Non-Principal Countries		0.0
Trade accounts payable		(1.1)
Other assets and liabilities, net		(41.8)
Net cash consideration		$ 29.5
2019 Acquisitions
Business Acquisition [Line Items]
Accounts receivable			44.1
Inventories			186.9
Property, plant and equipment			54.3
Goodwill			2,220.3
Other intangible assets, primarily customer relationships, trade names and technology			1,659.5
Prepaid acquisition asset related to ASP Non-Principal Countries			34.7
Trade accounts payable			(7.5)
Other assets and liabilities, net			(287.3)
Net cash consideration			$ 3,905.0