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Acquisitions and Disposition of Businesses - Schedule of Purchase Price Allocation (Details) - USD ($) $ in Thousands | Sep. 30, 2024 | Oct. 04, 2023 | Sep. 30, 2023 | Jan. 03, 2023 | Sep. 30, 2022 | Apr. 29, 2022
--- | --- | --- | --- | --- | --- | ---
Business Acquisition [Line Items] |  |  |  |  |  |
Goodwill | $ 3,461,891 |  | $ 3,358,511 |  | $ 2,353,654 |
Pure Systems |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |
Goodwill |  | $ 77,118 |  |  |  |
Net tax liability |  | (8,860) |  |  |  |
Acquired debt |  | (2,475) |  |  |  |
Other net liabilities |  | (526) |  |  |  |
Total |  | 93,457 |  |  |  |
Servicemax acquisition |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |
Goodwill |  |  |  | $ 974,850 |  |
Accounts receivable |  |  |  | 58,722 |  |
Other net assets |  |  |  | 5,540 |  |
Net tax liability |  |  |  | (121,656) |  |
Deferred revenue |  |  |  | (97,829) |  |
Total |  |  |  | 1,448,227 |  |
Intland Software |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |
Goodwill |  |  |  |  |  | $ 240,971
Accounts receivable |  |  |  |  |  | 6,506
Net tax liability |  |  |  |  |  | (20,811)
Deferred revenue |  |  |  |  |  | (6,925)
Other net liabilities |  |  |  |  |  | (818)
Total |  |  |  |  |  | 278,123
Customer relationships | Pure Systems |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |
Intangible assets |  | 17,400 |  |  |  |
Customer relationships | Servicemax acquisition |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |
Intangible assets |  |  |  | 512,700 |  |
Customer relationships | Intland Software |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |
Intangible assets |  |  |  |  |  | 38,800
Purchased Software | Pure Systems |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |
Intangible assets |  | 10,000 |  |  |  |
Purchased Software | Servicemax acquisition |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |
Intangible assets |  |  |  | 106,900 |  |
Purchased Software | Intland Software |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |
Intangible assets |  |  |  |  |  | 19,100
Trademarks | Pure Systems |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |
Intangible assets |  | $ 800 |  |  |  |
Trademarks | Servicemax acquisition |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |
Intangible assets |  |  |  | $ 9,000 |  |
Trademarks | Intland Software |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |
Intangible assets |  |  |  |  |  | $ 1,300

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