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Acquisitions and Dispositions - Acquired Entities (Details) - USD ($) $ in Millions |  |  |  | 3 Months Ended | 12 Months Ended |  |
--- | --- | --- | --- | --- | --- | --- | ---
Oct. 03, 2022 | Jan. 31, 2022 | Apr. 01, 2021 | Sep. 30, 2022 | Dec. 31, 2022 | Sep. 30, 2022 | Dec. 31, 2021 | Dec. 31, 2020 | Mar. 09, 2020 | Jul. 18, 2017
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
G4S intercompany payments |  |  |  |  | $ 139.2 |  | $ 45.1 | $ (114.5) |  |
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract] |  |  |  |  |  |  |  |  |  |
Restricted cash |  |  |  |  | 438.5 |  | 376.4 |  |  |
Right-of-use assets, net |  |  |  |  | 314.5 |  | 299.1 |  |  |
Goodwill |  |  |  |  | 1,450.9 |  | 1,411.7 | 1,219.2 |  |
Transaction Costs |  |  |  |  | 5.6 |  | $ 6.5 | 19.3 |  |
NoteMachine |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Acquisition date | Oct. 03, 2022 |  |  |  |  |  |  |  |  |
Percentage of shares acquired | 100.00% |  |  |  |  |  |  |  |  |
Annual revenues |  |  |  |  |  | $ 150.0 |  |  |  |
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract] |  |  |  |  |  |  |  |  |  |
Purchase consideration - cash paid |  |  |  |  | 178.9 |  |  |  |  |
Contingent consideration | $ 14.8 |  |  |  |  |  |  |  |  |
Fair value of purchase consideration | 193.7 |  |  |  |  |  |  |  |  |
Cash | 6.8 |  |  |  |  |  |  |  |  |
Restricted cash | 15.3 |  |  |  |  |  |  |  |  |
Accounts receivables | 38.1 |  |  |  |  |  |  |  |  |
Other current assets | 14.5 |  |  |  |  |  |  |  |  |
Property and Equipment, net | 39.9 |  |  |  |  |  |  |  |  |
Intangible assets | 84.2 |  |  |  |  |  |  |  |  |
Goodwill | 62.7 |  |  |  |  |  |  |  |  |
Other noncurrent assets | 5.1 |  |  |  |  |  |  |  |  |
Current liabilities | (50.2) |  |  |  |  |  |  |  |  |
Noncurrent liabilities | (22.7) |  |  |  |  |  |  |  |  |
Fair value of net assets acquired | $ 193.7 |  |  |  |  |  |  |  |  |
NoteMachine | Europe |  |  |  |  |  |  |  |  |  |
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract] |  |  |  |  |  |  |  |  |  |
Goodwill |  |  |  |  | 61.0 |  |  |  |  |
NoteMachine | North America |  |  |  |  |  |  |  |  |  |
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract] |  |  |  |  |  |  |  |  |  |
Goodwill |  |  |  |  | 2.0 |  |  |  |  |
Touchpoint 21 LLC |  |  |  |  |  |  |  |  |  |
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract] |  |  |  |  |  |  |  |  |  |
Fair value of purchase consideration |  | $ 15.0 |  |  |  |  |  |  |  |
PAI |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Acquisition date |  |  | Apr. 01, 2021 |  |  |  |  |  |  |
Percentage of shares acquired |  |  | 100.00% |  |  |  |  |  |  |
Annual revenues |  |  |  |  |  |  |  | $ 94.0 |  |
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract] |  |  |  |  |  |  |  |  |  |
Purchase consideration - cash paid |  |  | $ 215.5 |  |  |  |  |  |  |
Fair value of purchase consideration |  |  | 215.5 |  |  |  |  |  |  |
Cash |  |  | 12.3 |  |  |  |  |  |  |
Accounts receivables |  |  | 7.3 |  |  |  |  |  |  |
Other current assets |  |  | 5.5 |  |  |  |  |  |  |
Property and Equipment, net |  |  | 14.6 |  |  |  |  |  |  |
Intangible assets |  |  | 95.0 |  |  |  |  |  |  |
Goodwill |  |  | 126.1 |  | $ 2.0 |  |  |  |  |
Other noncurrent assets |  |  | 4.5 |  |  |  |  |  |  |
Current liabilities |  |  | (41.2) |  |  |  |  |  |  |
Noncurrent liabilities |  |  | (8.6) |  |  |  |  |  |  |
Fair value of net assets acquired |  |  | 215.5 |  |  |  |  |  |  |
G4Si |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Percentage of shares acquired |  |  |  |  |  |  |  |  | 100.00% |
G4S |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Percentage of shares acquired |  |  |  |  | 100.00% |  |  |  |  |
Annual revenues |  |  |  |  | $ 800.0 |  |  |  |  |
G4S intercompany payments |  |  |  |  | 114.0 |  |  |  |  |
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract] |  |  |  |  |  |  |  |  |  |
Purchase consideration - cash paid |  |  |  |  | 816.9 |  |  |  |  |
Contingent consideration |  |  |  |  | 22.0 |  |  |  |  |
Liabilities assumed from seller |  |  |  |  | 2.9 |  |  |  |  |
Indemnification assets |  |  |  |  | (15.9) |  |  |  |  |
Fair value of purchase consideration |  |  |  |  | 825.9 |  |  |  |  |
Cash |  |  |  |  | 244.4 |  |  |  |  |
Restricted cash |  |  |  |  | 30.1 |  |  |  |  |
Accounts receivables |  |  |  |  | 145.8 |  |  |  |  |
Other current assets |  |  |  |  | 30.8 |  |  |  |  |
Property and Equipment, net |  |  |  |  | 123.8 |  |  |  |  |
Right-of-use assets, net |  |  |  |  | 77.5 |  |  |  |  |
Intangible assets |  |  |  |  | 207.0 |  |  |  |  |
Goodwill |  |  |  |  | 534.1 |  |  |  |  |
Other noncurrent assets |  |  |  |  | 16.2 |  |  |  |  |
Current liabilities |  |  |  |  | (296.3) |  |  |  |  |
Lease liability |  |  |  |  | (68.1) |  |  |  |  |
Noncurrent liabilities |  |  |  |  | (103.9) |  |  |  |  |
Fair value of net assets acquired |  |  |  |  | 941.4 |  |  |  |  |
Fair value of noncontrolling interest |  |  |  |  | (115.5) |  |  |  |  |
G4S | Europe |  |  |  |  |  |  |  |  |  |
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract] |  |  |  |  |  |  |  |  |  |
Goodwill |  |  |  |  | 191.0 |  |  |  |  |
G4S | Rest of World |  |  |  |  |  |  |  |  |  |
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract] |  |  |  |  |  |  |  |  |  |
Goodwill |  |  |  |  | 340.0 |  |  |  |  |
G4S | Latin America |  |  |  |  |  |  |  |  |  |
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract] |  |  |  |  |  |  |  |  |  |
Goodwill |  |  |  |  | $ 3.0 |  |  |  |  |
G4S Tranche III |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Percentage of shares acquired |  |  |  |  | 100.00% |  |  |  |  |
Maco |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Percentage of shares acquired |  |  |  |  |  |  |  |  |  | 100.00%
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract] |  |  |  |  |  |  |  |  |  |
Severance Costs |  |  |  | $ 12.5 |  |  |  |  |  |
Customer relationships | NoteMachine |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Remaining Amortization Period |  |  |  |  | 13 years |  |  |  |  |
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract] |  |  |  |  |  |  |  |  |  |
Intangible assets |  |  | 47.0 |  |  |  |  |  |  |
Customer relationships | PAI |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Remaining Amortization Period |  |  |  |  | 10 years |  |  |  |  |
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract] |  |  |  |  |  |  |  |  |  |
Intangible assets |  |  | 60.0 |  |  |  |  |  |  |
Customer relationships | G4S |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Remaining Amortization Period |  |  |  |  | 15 years |  |  |  |  |
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract] |  |  |  |  |  |  |  |  |  |
Intangible assets |  |  |  |  | $ 207.0 |  |  |  |  |
Developed technology | NoteMachine |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Remaining Amortization Period |  |  |  |  | 12 years |  |  |  |  |
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract] |  |  |  |  |  |  |  |  |  |
Intangible assets |  |  | 27.0 |  |  |  |  |  |  |
Developed technology | PAI |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Remaining Amortization Period |  |  |  |  | 12 years |  |  |  |  |
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract] |  |  |  |  |  |  |  |  |  |
Intangible assets |  |  | 26.0 |  |  |  |  |  |  |
Finite-lived trade names | NoteMachine |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Remaining Amortization Period |  |  |  |  | 5 years |  |  |  |  |
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract] |  |  |  |  |  |  |  |  |  |
Intangible assets |  |  | 10.0 |  |  |  |  |  |  |
Finite-lived trade names | PAI |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Remaining Amortization Period |  |  |  |  | 5 years |  |  |  |  |
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract] |  |  |  |  |  |  |  |  |  |
Intangible assets |  |  | $ 9.0 |  |  |  |  |  |  |

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