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Acquisitions - AirXcel Narrative (Details) - USD ($) |  | 3 Months Ended | 6 Months Ended |
--- | --- | --- | --- | ---
Sep. 01, 2021 | Jan. 31, 2022 | Jan. 31, 2023 | Jan. 31, 2022 | Feb. 01, 2019
Business Acquisition [Line Items] |  |  |  |  |
Payments to acquire businesses, net of cash acquired |  |  | $ 6,184,000 | $ 781,818,000 |
Asset-based credit facility |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |
Line of credit, maximum borrowing capacity | $ 1,000,000,000 |  |  |  |
AirX Intermediate Inc. |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |
Payments to acquire businesses, net of cash acquired | $ 745,279,000 | $ 745,279,000 |  |  |
Acquired finite-lived intangible assets, weighted average useful life | 18 years 3 months 18 days |  |  |  |
AirX Intermediate Inc. | Customer relationships |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |
Remaining amortization period | 20 years |  |  |  |
AirX Intermediate Inc. | Trademarks |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |
Remaining amortization period | 20 years |  |  |  |
AirX Intermediate Inc. | Design technology and other intangibles |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |
Remaining amortization period | 10 years |  |  |  |
AirX Intermediate Inc. | Backlog |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |
Remaining amortization period | 2 months |  |  |  |
AirX Intermediate Inc. | Asset-based credit facility |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |
Line of credit, maximum borrowing capacity | $ 1,000,000,000 |  |  |  | $ 750,000,000

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