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Company Overview, Basis of Presentation, and Summary of Significant Accounting Policies - Narrative (Details) |  |  |  |  | 3 Months Ended | 9 Months Ended |  |  |  |  |  |
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Feb. 29, 2024 USD ($) | Sep. 30, 2023 USD ($) | Mar. 31, 2023 USD ($) | Jan. 01, 2023 USD ($) segment | Sep. 30, 2024 USD ($) $ / shares | Sep. 30, 2023 USD ($) | Mar. 31, 2023 USD ($) | Sep. 30, 2024 USD ($) $ / shares | Sep. 30, 2023 USD ($) | Apr. 16, 2024 USD ($) | Apr. 02, 2024 USD ($) | Mar. 12, 2024 USD ($) | Dec. 31, 2023 USD ($) | Feb. 09, 2021 USD ($) | Dec. 01, 2020 USD ($)
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Principal balance |  |  |  |  | $ 2,454,500,000 |  |  | $ 2,454,500,000 |  |  |  |  | $ 2,892,500,000 |  |
Cash and cash equivalents |  | $ 277,800,000 |  |  | 157,100,000 | $ 277,800,000 |  | 157,100,000 | $ 277,800,000 |  |  |  | $ 196,800,000 |  |
Depreciation reduction |  |  |  |  | $ (34,300,000) | (50,400,000) |  | $ (106,000,000.0) | (160,900,000) |  |  |  |  |  |
Period increase (in dollar per share) | $ / shares |  |  |  |  | $ 0.05 |  |  | $ 0.15 |  |  |  |  |  |  |
Number of business units | segment |  |  |  | 2 |  |  |  |  |  |  |  |  |  |  |
Impairment of goodwill |  |  |  |  | $ 141,700,000 | 165,700,000 |  | $ 714,900,000 | 708,800,000 |  |  |  |  |  |
Trade name (indefinite-lived) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Impairment charge | $ 20,000,000 | 57,000,000 |  |  |  | 57,000,000 |  | 20,000,000 | 57,000,000 |  |  |  |  |  |
Private Cloud |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Depreciation reduction |  |  |  |  | (28,600,000) | (42,200,000) |  | (85,600,000) | (131,000,000.0) |  |  |  |  |  |
Impairment of goodwill | 187,800,000 | $ 165,700,000 | $ 272,300,000 | $ 270,800,000 | 72,500,000 |  | $ 270,800,000 | 260,300,000 |  |  |  |  |  |  |
Public Cloud |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Depreciation reduction |  |  |  |  | (1,800,000) | $ (2,400,000) |  | (5,300,000) | $ (7,000,000.0) |  |  |  |  |  |
Impairment of goodwill | $ 385,400,000 |  |  |  | 69,200,000 |  |  | 454,600,000 |  |  |  |  |  |  |
Computers and equipment | Change in Accounting Method Accounted for as Change in Estimate |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Depreciation reduction |  |  |  |  | $ 11,500,000 |  |  | $ 36,300,000 |  |  |  |  |  |  |
Minimum | Computers and equipment |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Useful life | 3 years |  |  |  | 5 years |  |  | 5 years |  |  |  |  |  |  |
Maximum | Computers and equipment |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Useful life | 5 years |  |  |  | 7 years |  |  | 7 years |  |  |  |  |  |  |
3.50% FLSO Senior Secured Notes | Senior notes |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Aggregate principal amount |  |  |  |  |  |  |  |  |  | $ 96,900,000 |  | $ 267,300,000 |  |  |
Interest rate |  |  |  |  | 3.50% |  |  | 3.50% |  |  |  | 3.50% |  | 3.50% |
Principal balance |  |  |  |  | $ 318,600,000 |  |  | $ 318,600,000 |  | $ 3,600,000 | $ 93,300,000 |  |  |  |
FLSO Term Loan Facility | Senior notes |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Interest rate |  |  |  |  |  |  |  |  |  |  |  | 3.50% |  |  |
5.375% Senior Notes | Senior notes |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Aggregate principal amount |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 550,000,000.0
Interest rate |  |  |  |  | 5.375% |  |  | 5.375% |  |  |  |  | 5.375% |  | 5.375%
Principal balance |  |  |  |  | $ 125,400,000 |  |  | $ 125,400,000 |  |  |  |  | $ 197,600,000 |  |
3.50% Senior Secured Notes | Senior notes |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Aggregate principal amount |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 550,000,000.0 |
Interest rate |  |  |  |  | 3.50% |  |  | 3.50% |  |  |  | 3.50% | 3.50% | 3.50% |
Principal balance |  |  |  |  | $ 43,900,000 |  |  | $ 43,900,000 |  |  |  |  | $ 513,700,000 |  |
Term loan facility | Term Loan Facility | Line of credit |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Aggregate principal amount |  |  |  |  | 2,454,500,000 |  |  | 2,454,500,000 |  |  |  |  |  |  |
Revolving Credit Facility | Line of credit |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Maximum borrowing capacity |  |  |  |  | 375,000,000.0 |  |  | 375,000,000.0 |  |  |  |  |  |  |
Principal balance |  |  |  |  | $ 0 |  |  | $ 0 |  |  |  |  |  |  |

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