Condensed Consolidated Statements of Stockholders' Equity and Mezzanine Equity (Unaudited) - USD ($) shares in Thousands	Total	Total Mezzanine Equity	Total Mezzanine Equity KSOP redeemable common stock conversion	Total Mezzanine Equity ESOP share conversion	Redeemable Common Stock	Redeemable Common Stock KSOP redeemable common stock conversion	Redeemable Common Stock ESOP share conversion	Redeemable Convertible Preferred Stock	Redeemable Convertible Preferred Stock ESOP share conversion	Total ADS Stockholders’ Equity	Common Stock	Paid -In Capital	Common Stock in Treasury	Accumulated Other Compre-hensive Loss	Retained Earnings	Non- controlling Interest in Subsidiaries
Beginning balance, common stock (in shares) at Mar. 31, 2022											75,529
Beginning balance, treasury stock (in shares) at Mar. 31, 2022													3,220
Beginning balance at Mar. 31, 2022	$ 909,661,000									$ 893,039,000	$ 11,612,000	$ 1,065,628,000	$ (318,691,000)	$ (24,386,000)	$ 158,876,000	$ 16,622,000
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Performance-based restricted stock units (in shares)											527		205
Performance-based restricted stock units	(20,346,000)									(20,346,000)	$ 5,000		$ (20,351,000)
Ending balance, common stock (in shares) at Jun. 30, 2022											76,607
Ending balance, treasury stock (in shares) at Jun. 30, 2022													4,221
Ending balance at Jun. 30, 2022	1,007,959,000									989,996,000	$ 11,623,000	1,079,701,000	$ (408,861,000)	(28,289,000)	335,822,000	17,963,000
Mezzanine equity, beginning balance (in shares) at Mar. 31, 2022					0			15,630
Mezzanine equity, beginning balance at Mar. 31, 2022		$ 195,384,000			$ 0			$ 195,384,000
Mezzanine equity, ending balance (in shares) at Jun. 30, 2022					11,619			0
Mezzanine equity, ending balance at Jun. 30, 2022		188,828,000			$ 188,828,000			$ 0
Beginning balance, common stock (in shares) at Mar. 31, 2022											75,529
Beginning balance, treasury stock (in shares) at Mar. 31, 2022													3,220
Beginning balance at Mar. 31, 2022	909,661,000									893,039,000	$ 11,612,000	1,065,628,000	$ (318,691,000)	(24,386,000)	158,876,000	16,622,000
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income	341,859,000									339,153,000					339,153,000	2,706,000
Other comprehensive loss	(9,661,000)									(9,389,000)				(9,389,000)		(272,000)
Common stock dividends	(20,239,000)									(20,239,000)					(20,239,000)
Share repurchases (in shares)													1,865
Share repurchases	(195,163,000)									(195,163,000)			$ (195,163,000)
Dividends paid to noncontrolling interest holder	1,727,000															(1,727,000)
KSOP redeemable common stock conversion (in shares)											2,182
KSOP redeemable common stock conversion	35,456,000									35,456,000	$ 22,000	35,434,000
Exercise of common stock options (in shares)											183
Exercise of common stock options	4,660,000									4,660,000	$ 2,000	4,658,000
Restricted stock awards (in shares)											98		24
Restricted stock awards	(2,491,000)									(2,491,000)	$ 1,000		$ (2,492,000)
Stock-based compensation expense	13,733,000									13,733,000		13,733,000
Ending balance, common stock (in shares) at Sep. 30, 2022											78,519
Ending balance, treasury stock (in shares) at Sep. 30, 2022													5,314
Ending balance at Sep. 30, 2022	1,055,742,000									1,038,413,000	$ 11,642,000	1,119,453,000	$ (536,697,000)	(33,775,000)	477,790,000	17,329,000
Mezzanine equity, beginning balance (in shares) at Mar. 31, 2022					0			15,630
Mezzanine equity, beginning balance at Mar. 31, 2022		195,384,000			$ 0			$ 195,384,000
Increase (Decrease) in Temporary Equity [Roll Forward]
Conversion of convertible securities (in shares)						(2,182)	12,022		(15,630)
Temporary equity, conversion of convertible securities			$ (35,456,000)	$ 0		$ (35,456,000)	$ 195,384,000		$ (195,384,000)
Mezzanine equity, ending balance (in shares) at Sep. 30, 2022					9,840			0
Mezzanine equity, ending balance at Sep. 30, 2022		159,928,000			$ 159,928,000			$ 0
Beginning balance, common stock (in shares) at Jun. 30, 2022											76,607
Beginning balance, treasury stock (in shares) at Jun. 30, 2022													4,221
Beginning balance at Jun. 30, 2022	1,007,959,000									989,996,000	$ 11,623,000	1,079,701,000	$ (408,861,000)	(28,289,000)	335,822,000	17,963,000
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income	153,377,000									152,007,000					152,007,000	1,370,000
Other comprehensive loss	(5,763,000)									(5,486,000)				(5,486,000)		(277,000)
Common stock dividends	(10,039,000)									(10,039,000)					(10,039,000)
Share repurchases (in shares)													1,093
Share repurchases	(127,802,000)									(127,802,000)			$ (127,802,000)
Dividends paid to noncontrolling interest holder	1,727,000															(1,727,000)
KSOP redeemable common stock conversion (in shares)											1,779
KSOP redeemable common stock conversion	28,900,000									28,900,000	$ 18,000	28,882,000
Exercise of common stock options (in shares)											116
Exercise of common stock options	3,411,000									3,411,000	$ 1,000	3,410,000
Restricted stock awards (in shares)											17		0
Restricted stock awards	(34,000)									(34,000)	$ 0		$ (34,000)
Stock-based compensation expense	7,460,000									7,460,000		7,460,000
Ending balance, common stock (in shares) at Sep. 30, 2022											78,519
Ending balance, treasury stock (in shares) at Sep. 30, 2022													5,314
Ending balance at Sep. 30, 2022	$ 1,055,742,000									1,038,413,000	$ 11,642,000	1,119,453,000	$ (536,697,000)	(33,775,000)	477,790,000	17,329,000
Mezzanine equity, beginning balance (in shares) at Jun. 30, 2022					11,619			0
Mezzanine equity, beginning balance at Jun. 30, 2022		188,828,000			$ 188,828,000			$ 0
Increase (Decrease) in Temporary Equity [Roll Forward]
Conversion of convertible securities (in shares)						(1,779)
Temporary equity, conversion of convertible securities			(28,900,000)			$ (28,900,000)
Mezzanine equity, ending balance (in shares) at Sep. 30, 2022					9,840			0
Mezzanine equity, ending balance at Sep. 30, 2022		159,928,000			$ 159,928,000			$ 0
Beginning balance, common stock (in shares) at Mar. 31, 2023	69,518										79,057
Beginning balance, treasury stock (in shares) at Mar. 31, 2023													9,539
Beginning balance at Mar. 31, 2023	$ 841,640,000									824,147,000	$ 11,647,000	1,134,864,000	$ (920,999,000)	(27,580,000)	626,215,000	17,493,000
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income	310,932,000									309,454,000					309,454,000	1,478,000
Other comprehensive loss	(1,632,000)									(2,078,000)				(2,078,000)		446,000
Common stock dividends	(22,118,000)									(22,118,000)					(22,118,000)
Share repurchases (in shares)													981
Share repurchases	(109,907,000)									(109,907,000)			$ (109,907,000)
KSOP redeemable common stock conversion (in shares)											1,223
KSOP redeemable common stock conversion	19,871,000									19,871,000	$ 12,000	19,859,000
Exercise of common stock options (in shares)											56
Exercise of common stock options	2,623,000									2,623,000	$ 1,000	2,622,000
Restricted stock awards (in shares)											99		25
Restricted stock awards	(2,414,000)									(2,414,000)	$ 1,000		$ (2,415,000)
Stock-based compensation expense	16,234,000									16,234,000		16,234,000
Performance-based restricted stock units (in shares)											200		72
Performance-based restricted stock units	(6,394,000)									(6,394,000)	$ 2,000		$ (6,396,000)
Other	$ (5,000)									(5,000)		(5,000)
Ending balance, common stock (in shares) at Sep. 30, 2023	70,018										80,635
Ending balance, treasury stock (in shares) at Sep. 30, 2023													10,617
Ending balance at Sep. 30, 2023	$ 1,048,830,000									1,029,413,000	$ 11,663,000	1,173,574,000	$ (1,039,717,000)	(29,658,000)	913,551,000	19,417,000
Mezzanine equity, beginning balance (in shares) at Mar. 31, 2023					9,429
Mezzanine equity, beginning balance at Mar. 31, 2023	153,220,000	153,220,000			$ 153,220,000
Increase (Decrease) in Temporary Equity [Roll Forward]
Conversion of convertible securities (in shares)						(1,223)
Temporary equity, conversion of convertible securities			(19,871,000)			$ (19,871,000)
Mezzanine equity, ending balance (in shares) at Sep. 30, 2023					8,206
Mezzanine equity, ending balance at Sep. 30, 2023	133,349,000	133,349,000			$ 133,349,000
Beginning balance, common stock (in shares) at Jun. 30, 2023											79,651
Beginning balance, treasury stock (in shares) at Jun. 30, 2023													10,110
Beginning balance at Jun. 30, 2023	963,469,000									944,672,000	$ 11,654,000	1,147,449,000	$ (977,812,000)	(25,399,000)	788,780,000	18,797,000
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income	137,027,000									135,802,000					135,802,000	1,225,000
Other comprehensive loss	(4,864,000)									(4,259,000)				(4,259,000)		(605,000)
Common stock dividends	(11,031,000)									(11,031,000)					(11,031,000)
Share repurchases (in shares)													507
Share repurchases	(61,836,000)									(61,836,000)			$ (61,836,000)
KSOP redeemable common stock conversion (in shares)											926
KSOP redeemable common stock conversion	15,048,000									15,048,000	$ 9,000	15,039,000
Exercise of common stock options (in shares)											35
Exercise of common stock options	1,756,000									1,756,000	$ 0	1,756,000
Restricted stock awards (in shares)											23		0
Restricted stock awards	(69,000)									(69,000)	$ 0		$ (69,000)
Stock-based compensation expense	9,331,000									9,331,000		9,331,000
Other	$ (1,000)									(1,000)		(1,000)
Ending balance, common stock (in shares) at Sep. 30, 2023	70,018										80,635
Ending balance, treasury stock (in shares) at Sep. 30, 2023													10,617
Ending balance at Sep. 30, 2023	$ 1,048,830,000									$ 1,029,413,000	$ 11,663,000	$ 1,173,574,000	$ (1,039,717,000)	$ (29,658,000)	$ 913,551,000	$ 19,417,000
Mezzanine equity, beginning balance (in shares) at Jun. 30, 2023					9,132
Mezzanine equity, beginning balance at Jun. 30, 2023		148,397,000			$ 148,397,000
Increase (Decrease) in Temporary Equity [Roll Forward]
Conversion of convertible securities (in shares)						(926)
Temporary equity, conversion of convertible securities			$ (15,048,000)			$ (15,048,000)
Mezzanine equity, ending balance (in shares) at Sep. 30, 2023					8,206
Mezzanine equity, ending balance at Sep. 30, 2023	$ 133,349,000	$ 133,349,000			$ 133,349,000