Acquisitions - AirXcel Narrative (Details) - USD ($)		3 Months Ended	9 Months Ended
	Sep. 01, 2021	Jan. 31, 2022	Apr. 30, 2022	Apr. 30, 2021	Feb. 01, 2019
Business Acquisition [Line Items]
Borrowings on revolving asset-based credit facilities			$ 660,088,000	$ 225,676,000
Total cash consideration for acquisition, less cash acquired			781,967,000	$ 310,938,000
Asset-based credit facility
Business Acquisition [Line Items]
Line of credit, maximum borrowing capacity	$ 1,000,000,000				$ 750,000,000
AirX Intermediate Inc.
Business Acquisition [Line Items]
Cash paid to acquire business, gross	750,000,000
Total cash consideration for acquisition, less cash acquired	$ 745,279,000	$ 745,279,000
Net sales			371,503,000
Net loss before income taxes			25,595,000
Business combination, provisional adjustment, inventory adjustment			6,791,000
Business combination, provisional information, intangible asset adjustment			$ 25,930,000
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]
Borrowings on revolving asset-based credit facilities	$ 625,000,000
Line of credit, maximum borrowing capacity	$ 1,000,000,000				$ 750,000,000