Goodwill and Other Intangible Assets (Tables)

12 Months Ended

Dec. 31, 2023

Goodwill and Intangible Assets Disclosure [Abstract]

Schedule of Goodwill

The carrying value of goodwill by segment was as follows:

	Application Software		Network Software		Technology Enabled Products		Total
Balances at December 31, 2021	$	8,889.3	$	3,655.3	$	931.7	$	13,476.3
Goodwill acquired	2,559.1		—		—		2,559.1
Currency translation adjustments	(32.1)		(56.3)		(1.4)		(89.8)
Reclassifications and other	1.2		(0.7)		—		0.5
Balances at December 31, 2022	$	11,417.5	$	3,598.3	$	930.3	$	15,946.1
Goodwill acquired	1,189.6		—		—		1,189.6
Currency translation adjustments	15.2		26.3		0.5		42.0
Reclassifications and other	(58.9)		—		—		(58.9)
Balances at December 31, 2023	$	12,563.4	$	3,624.6	$	930.8	$	17,118.8

Schedule of Other Intangible Assets - Subject to Amortization

Other intangible assets were comprised of:

	Cost		Accumulated amortization		Net book value
Assets subject to amortization:
Customer related intangibles	$	9,300.7	$	(2,437.7)	$	6,863.0
Unpatented technology	954.6		(506.9)		447.7
Software	149.0		(134.0)		15.0
Patents and other protective rights	10.3		(1.2)		9.1
Trade names	9.7		(3.1)		6.6
Assets not subject to amortization:
Trade names	689.3		—		689.3
Balances at December 31, 2022	$	11,113.6	$	(3,082.9)	$	8,030.7
Assets subject to amortization:
Customer related intangibles	$	10,061.7	$	(3,000.5)	$	7,061.2
Unpatented technology	1,047.0		(638.8)		408.2
Software	149.2		(143.4)		5.8
Patents and other protective rights	10.3		(1.4)		8.9
Assets not subject to amortization:
Trade names	728.0		—		728.0
Balances at December 31, 2023	$	11,996.2	$	(3,784.1)	$	8,212.1

Schedule of Other Intangible Assets - Not Subject to Amortization

Other intangible assets were comprised of:

	Cost		Accumulated amortization		Net book value
Assets subject to amortization:
Customer related intangibles	$	9,300.7	$	(2,437.7)	$	6,863.0
Unpatented technology	954.6		(506.9)		447.7
Software	149.0		(134.0)		15.0
Patents and other protective rights	10.3		(1.2)		9.1
Trade names	9.7		(3.1)		6.6
Assets not subject to amortization:
Trade names	689.3		—		689.3
Balances at December 31, 2022	$	11,113.6	$	(3,082.9)	$	8,030.7
Assets subject to amortization:
Customer related intangibles	$	10,061.7	$	(3,000.5)	$	7,061.2
Unpatented technology	1,047.0		(638.8)		408.2
Software	149.2		(143.4)		5.8
Patents and other protective rights	10.3		(1.4)		8.9
Assets not subject to amortization:
Trade names	728.0		—		728.0
Balances at December 31, 2023	$	11,996.2	$	(3,784.1)	$	8,212.1