Segments - Reconciliation of Net Income to Adjusted EBITDA (Details) - USD ($) $ in Thousands	3 Months Ended								12 Months Ended
	Apr. 30, 2024	Jan. 31, 2024	Oct. 31, 2023	Jul. 31, 2023	Apr. 30, 2023	Jan. 31, 2023	Oct. 31, 2022	Jul. 31, 2022	Apr. 30, 2024	Apr. 30, 2023	Apr. 30, 2022
Segment Reporting [Abstract]
Net income	$ 56,387	$ 51,905	$ 80,957	$ 86,830	$ 75,593	$ 64,775	$ 103,153	$ 89,470	$ 276,079	$ 332,991	$ 273,442
Interest expense									75,461	65,843	58,097
Write-off of debt discount and deferred financing fees									2,075	0	0
Interest income									(1,754)	(1,287)	(163)
Provision for income taxes									98,087	114,512	91,377
Depreciation expense									69,206	61,177	55,437
Amortization expense									64,156	65,730	63,795
Stock appreciation expense									5,391	7,703	4,403
Redeemable noncontrolling interests and deferred compensation									1,427	1,178	1,983
Equity-based compensation									15,618	13,217	10,968
Severance and other permitted costs									2,628	2,788	1,132
Transaction costs (acquisitions and other)									4,856	1,961	3,545
Gain on disposal of assets									(729)	(1,413)	(913)
Effects of fair value adjustments to inventory									1,633	1,123	3,818
Debt transaction costs									1,320	173	0
Adjusted EBITDA									$ 615,454	$ 665,696	$ 566,921