Other Intangible Assets, net (Tables)

12 Months Ended

Dec. 31, 2022

Goodwill and Intangible Assets Disclosure [Abstract]

Components of Intangible Assets, Net

The components of other intangible assets, net, as of December 31, 2022 and 2021, were as follows:

			December 31,
			2022							2021
	Weighted
	Average		Intangible					Intangible		Intangible					Intangible
	Life		Assets,		Accumulated			Assets,		Assets,		Accumulated			Assets,
(millions)	(Years)		Gross		Amortization			Net		Gross		Amortization			Net
Covenant not to compete		3.4	$	2.9	$	(1.4	)	$	1.5	$	2.9	$	(2.3	)	$	0.6
Trade names and trademarks		11.8		2.8		(0.7	)		2.1		0.9		(0.5	)		0.4
Proprietary know how		6.8		21.7		(2.7	)		19.0		3.8		(1.3	)		2.5
Management contract rights		6.3		81.0		(52.9	)		28.1		81.0		(47.7	)		33.3
Customer relationships		8.6		24.8		(6.6	)		18.2		21.5		(3.9	)		17.6
Other intangible assets, net		7.2	$	133.2	$	(64.3	)	$	68.9	$	110.1	$	(55.7	)	$	54.4

Summary of Amortization of Intangible Assets

Amortization expense related to other intangible assets during the years ended December 31, 2022, 2021 and 2020, which was included in Depreciation and amortization within the Consolidated Statements of Income (Loss), was as follows:

	Year Ended December 31,
(millions)	2022		2021		2020
Amortization expense	$	9.9	$	8.7	$	13.2

Schedule of Other Assets Acquired were Recorded at their Estimated Fair Value

The other intangible assets acquired were recorded at their estimated fair value on the acquisition dates as follows:

(millions)	Estimated Life	Estimated Fair Value
Proprietary know how	7.4 Years	$	17.3
Customer relationships	5.8 Years		3.2
Trade names	13.2 Years		1.8
Covenant not to compete	4.2 Years	1.2
Estimated fair value of identified intangible assets		$	23.5

Schedule of Expected Future Amortization of Other Intangible Assets

The expected future amortization of other intangible assets as of December 31, 2022 was as follows:

(millions)	Intangible asset amortization
2023	$	11.8
2024		11.2
2025		10.1
2026		9.6
2027		6.6
2028 and thereafter		19.6
Total	$	68.9