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Intangible Assets and Goodwill (Tables)
12 Months Ended
Dec. 31, 2025
Goodwill and Intangible Assets Disclosure [Abstract]  
Schedule of intangible assets

Successor

Consolidated

Weighted Average

December 31, 2025

Remaining Useful Life

Gross Carrying

Accumulated

Intangible

  ​ ​ ​  ​

(in Years)

  ​ ​ ​

Amount (a)

  ​ ​ ​

Amortization

  ​ ​ ​

Asset, net

Customer relationships

11.0

$

292,855

$

(11,076)

$

281,779

Trade names—indefinite-lived (b)

Indefinite-lived

2,875

2,875

Trade names—others (c)

8.0

9,029

(470)

8,559

Outsourced contract costs

5.0

1,133

(94)

1,039

Internally developed software

5.0

39,381

(3,311)

36,070

Purchased software

8.0

15,009

(1,251)

13,758

Intangibles, net

$

360,282

$

(16,202)

$

344,080

Predecessor

Combined and Consolidated

Weighted Average

December 31, 2024

Remaining Useful Life

Gross Carrying

Accumulated

Intangible

  ​ ​ ​  ​

(in Years)

  ​ ​ ​

Amount (a)

  ​ ​ ​

Amortization

  ​ ​ ​

Asset, net

Customer relationships

7.8

$

490,166

$

(388,565)

$

101,601

Developed technology

0.2

88,554

(88,501)

53

Trade names—indefinite-lived (b)

Indefinite-lived

5,300

5,300

Outsourced contract costs

2.0

17,660

(16,496)

1,164

Internally developed software

2.2

56,285

(47,610)

8,675

Purchased software

9.0

26,749

(10,700)

16,049

Intangibles, net

$

684,714

$

(551,872)

$

132,842

(a)Amounts include intangible assets acquired in business combinations and asset acquisitions. $14.6 million of gross carrying amount of intangible assets was fully amortized and written off during the year 2024.
(b)The carrying amounts of trade names—indefinite-lived as of December 31, 2025 (Successor) and December 31, 2024 (Predecessor) represent indefinite-lived intangible assets and is net of accumulated impairment losses of $0 and $44.1 million, respectively.
(c)The carrying amount of trade names—others as of December 31, 2025 (Successor) represents definite-lived intangible asset and is net of accumulated impairment losses of $0.
Schedule of estimated intangibles amortization expense

Estimated

Amortization

  ​ ​ ​

Expense

2026

$

37,427

2027

37,144

2028

37,144

2029

37,033

2030

33,480

2031 and thereafter

158,977

Total

$

341,205

Schedule of goodwill by reporting segment

Successor

Consolidated

  ​ ​ ​

Balances as
at August 1,
2025 (a)

  ​ ​ ​

Additions

  ​ ​ ​

Deletions

  ​ ​ ​

Impairments

  ​ ​ ​

Currency
Translation
Adjustments

  ​ ​ ​

Balances as
at December 31,
2025 (a)

Applied Workflow Automation

$

356,777

$

$

(683)

(b)

$

(240,292)

$

$

115,802

Technology

153,287

792

(b)

(80,000)

74,079

Total

$

510,064

$

792

$

(683)

$

(320,292)

$

$

189,881

Predecessor

Combined and Consolidated

  ​ ​ ​

Balances as
at January 1,
2025 (a)

  ​ ​ ​

Additions

  ​ ​ ​

Deletions

  ​ ​ ​

Impairments

  ​ ​ ​

Currency
Translation
Adjustments

  ​ ​ ​

Balances as
at July 31,
2025 (a)

Applied Workflow Automation

$

39,718

$

$

$

$

$

39,718

Technology

Total

$

39,718

$

$

$

$

$

39,718

Predecessor

Combined and Consolidated

  ​ ​ ​

Balances as
at January 1,
2024 (a)

  ​ ​ ​

Additions

  ​ ​ ​

Deletions

  ​ ​ ​

Impairments

  ​ ​ ​

Currency
Translation
Adjustments

  ​ ​ ​

Balances as
at December 31,
2024 (a)

Applied Workflow Automation

$

147,542

$

$

$

(108,489)

$

665

$

39,718

Technology

Total

$

147,542

$

$

$

(108,489)

$

665

$

39,718

(a)The goodwill amount for all periods presented is net of accumulated impairment amounts. Accumulated impairment relating to Applied Workflow Automation and Technology was $240.3 million and $80.0 million, respectively, at December 31, 2025 (Successor). Accumulated impairment relating to Applied Workflow Automation was $309.3 million and $731.1 million at December 31, 2024 (Predecessor) and January 1, 2024 (Predecessor), respectively.
(b)Additions/Deletions represent measurement period adjustments as discussed in Note 5, Business Combination.