Segments - Reconciliation of Net Income to Adjusted EBITDA (Details) - USD ($) $ in Thousands	3 Months Ended									12 Months Ended
	Apr. 30, 2022	Jan. 31, 2022	Oct. 31, 2021	Jul. 31, 2021	Apr. 30, 2021	Jan. 31, 2021	Oct. 31, 2020	Jul. 31, 2020	Apr. 30, 2020	Apr. 30, 2022	Apr. 30, 2021	Apr. 30, 2020
Segment Reporting [Abstract]
Net income	$ 76,496	$ 61,383	$ 74,361	$ 61,202	$ 33,746	$ 16,126	$ 28,469	$ 27,219		$ 273,442	$ 105,560	$ 23,381
Interest expense										58,097	53,786	67,718
Write-off of debt discount and deferred financing fees										0	4,606	1,331
Interest income										(163)	(86)	(88)
Provision for income taxes										91,377	31,534	22,944
Depreciation expense										55,437	50,480	51,332
Amortization expense										63,795	57,645	65,201
Impairment of goodwill									$ 63,100	0	0	63,074
Stock appreciation expense										4,403	3,173	1,572
Redeemable noncontrolling interests										1,983	1,288	520
Equity-based compensation										10,968	8,442	7,060
Severance and other permitted costs										1,132	2,948	5,733
Transaction costs (acquisitions and other)										3,545	1,068	2,414
(Gain) loss on disposal and impairment of assets										(913)	(1,011)	658
Effects of fair value adjustments to inventory										3,818	788	575
Gain on legal settlement										0	(1,382)	(14,029)
Secondary public offering costs										0	0	363
Debt transaction costs										0	532	0
Adjusted EBITDA										$ 566,921	$ 319,371	$ 299,759