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Intangible assets and goodwill - Indefinite-lived Intangibles (Details) - USD ($) $ in Thousands	3 Months Ended
	Mar. 31, 2023	Dec. 31, 2022
Indefinite-lived intangibles
Intangible assets, net	$ 686,205	$ 705,891
Change in indefinite-lived intangibles	0
Indefinite-lived intangible assets
Indefinite-lived intangibles
Beginning Balance	453,566
Additions
Ending Balance	453,566
Intangible assets, net	686,205
Indefinite-lived intangible assets | Upstaza
Indefinite-lived intangibles
Beginning Balance	235,766
Additions
Ending Balance	235,766
Indefinite-lived intangible assets | PTC-FA
Indefinite-lived intangibles
Beginning Balance	112,500
Additions
Ending Balance	112,500
Indefinite-lived intangible assets | PTC-AS
Indefinite-lived intangibles
Beginning Balance	105,300
Additions
Ending Balance	$ 105,300

X

- Definition

Amount of assets, excluding financial assets and goodwill, lacking physical substance and having a projected indefinite period of benefit.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 350
-SubTopic 30
-Section 50
-Paragraph 2
-Subparagraph (b)
-URI https://asc.fasb.org/extlink&oid=66006027&loc=d3e16323-109275

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- Definition

Amount of increase (decrease) of assets, excluding financial assets and goodwill, lacking physical substance and having a projected indefinite period of benefit.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 350
-SubTopic 30
-Section 50
-Paragraph 2
-Subparagraph (b)
-URI https://asc.fasb.org/extlink&oid=66006027&loc=d3e16323-109275

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- Definition

A roll forward is a reconciliation of a concept from the beginning of a period to the end of a period.

+ References

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- Definition

Amount of increase in assets, excluding financial assets and goodwill, lacking physical substance with an indefinite life, from an acquisition.

+ References

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- Definition

Sum of the carrying amounts of all intangible assets, excluding goodwill, as of the balance sheet date, net of accumulated amortization and impairment charges.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 350
-SubTopic 30
-Section 50
-Paragraph 2
-Subparagraph ((a)(1),(b))
-URI https://asc.fasb.org/extlink&oid=66006027&loc=d3e16323-109275

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-Publisher FASB
-Name Accounting Standards Codification
-Topic 350
-SubTopic 30
-Section 45
-Paragraph 1
-URI https://asc.fasb.org/extlink&oid=6388964&loc=d3e16212-109274

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