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Acquisitions - AirXcel Schedule of Net Assets Acquired and Liabilities Assumed (Details) - USD ($) $ in Thousands |  | 3 Months Ended | 9 Months Ended |  |
--- | --- | --- | --- | --- | ---
Sep. 01, 2021 | Jan. 31, 2022 | Apr. 30, 2023 | Apr. 30, 2022 | Jul. 31, 2022 | Jul. 31, 2021
Business Acquisition [Line Items] |  |  |  |  |  |
Goodwill |  |  | $ 1,796,743 | $ 1,834,873 | $ 1,804,151 | $ 1,563,255
Payments to acquire businesses, net of cash acquired |  |  | $ 6,184 | $ 781,967 |  |
AirX Intermediate Inc. |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |
Cash | $ 23,404 |  |  |  |  |
Inventory | 71,150 |  |  |  |  |
Other assets | 62,657 |  |  |  |  |
Property, plant and equipment | 40,518 |  |  |  |  |
Goodwill | 372,608 |  |  |  |  |
Current liabilities | (115,535) |  |  |  |  |
Deferred income tax liabilities | (77,086) |  |  |  |  |
Other liabilities | (10,494) |  |  |  |  |
Non-controlling interest | (739) |  |  |  |  |
Total fair value of net assets acquired | 768,683 |  |  |  |  |
Less cash acquired | (23,404) |  |  |  |  |
Payments to acquire businesses, net of cash acquired | 745,279 | $ 745,279 |  |  |  |
AirX Intermediate Inc. | Customer relationships |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |
Amortizable intangible assets: | 284,000 |  |  |  |  |
AirX Intermediate Inc. | Trademarks |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |
Amortizable intangible assets: | 56,900 |  |  |  |  |
AirX Intermediate Inc. | Design technology assets |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |
Amortizable intangible assets: | 60,600 |  |  |  |  |
AirX Intermediate Inc. | Backlog |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |
Amortizable intangible assets: | $ 700 |  |  |  |  |

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