Intangible Assets and Goodwill - Schedule of goodwill (Details) $ in Thousands	2 Months Ended	3 Months Ended	5 Months Ended	7 Months Ended	12 Months Ended
	Sep. 30, 2025 USD ($)	Sep. 30, 2025 USD ($)	Dec. 31, 2025 USD ($)	Jul. 31, 2025 USD ($)	Dec. 31, 2025 USD ($) segment	Dec. 31, 2024 USD ($)
Goodwill [Line Items]
Number of reportable segments | segment					2
Goodwill
Beginning balance	$ 510,064		$ 454,217	$ 39,718	$ 39,718
Additions	792
Deletions	(683)
Impairments	(320,292)		(320,292)	0	(320,300)	$ (108,489)
Currency Translation Adjustments	0
Ending balance	189,881	$ 189,881	189,881	454,217	189,881	39,718
Predecessor
Goodwill
Beginning balance			39,718	39,718	39,718	147,542
Additions				0		0
Deletions				0		0
Impairments				0		(108,489)
Currency Translation Adjustments				0		665
Ending balance				39,718		39,718
Applied Workflow Automation
Goodwill
Beginning balance	356,777
Additions	0
Deletions	(683)
Impairments	(240,292)	(215,800)			(24,500)
Currency Translation Adjustments	0
Ending balance	115,802	115,802
Applied Workflow Automation | Predecessor
Goodwill
Beginning balance			39,718	39,718	39,718	147,542
Additions				0		0
Deletions				0		0
Impairments				0		(108,489)
Currency Translation Adjustments				0		665
Ending balance				39,718		39,718
Technology
Goodwill
Beginning balance	153,287
Additions	792
Deletions	0
Impairments	(80,000)	(80,000)
Currency Translation Adjustments	0
Ending balance	$ 74,079	$ 74,079
Technology | Predecessor
Goodwill
Beginning balance			$ 0	0	$ 0	0
Additions				0		0
Deletions				0		0
Impairments				0		0
Currency Translation Adjustments				0		0
Ending balance				$ 0		$ 0