Share-Based Compensation (Details) - USD ($) $ / shares in Units, $ in Thousands	12 Months Ended
	Mar. 31, 2023	Mar. 31, 2022	Mar. 31, 2021
Share-based Compensation Arrangement by Share-based Payment Award [Line Item]
Remaining shares available for grant	2,794,795
Weighted-average assumptions used for options granted:
Risk-free interest rate	2.44%	1.10%	0.46%
Expected life of options	5 years 10 months 24 days	5 years 10 months 24 days	6 years
Exptected dividend yield of stock	0.80%	0.95%	0.96%
Expected volatility of stock	24.49%	24.27%	23.04%
Estimated forfeiture rate	2.54%	2.85%	2.78%
Summary of share option activity:
Number of Options, Outstanding, Beginning of Period	1,560,954
Weighted Average Exercise Price, Outstanding, Beginning of Period	$ 138.37
Number of Options, Granted	235,435
Weighted Average Exercise Price, Granted	$ 247.45
Number of Options, Exercised	(37,732)
Weighted Average Exercise Price, Exercised	$ 50.86
Number of Options, Forfeited	(8,928)
Weighted Average Exercise Price, Forfeited	$ 205.25
Number of Options, Outstanding, End of Period	1,749,729	1,560,954
Weighted Average Exercise Price, Outstanding, End of Period	$ 154.60	$ 138.37
Average Remaining Contractual Term, Outstanding	6 years 2 months 12 days
Aggregate Intrinsic Value, Outstanding	$ 83,950
Number of Options, Exercisable	1,124,664
Weighted Average Exercise Price, Exercisable	$ 122.41
Share-based Compensation Arrangement by Share-based Payment Award, Options, Exercisable, Weighted Average Remaining Contractual Term	5 years 2 months 12 days
Aggregate Intrinsic Value, Exercisable	$ 79,561
Non-vested stock options outstanding expected to vest	614,758
Common Stock, Fair Market Value Per Share	$ 191.28
Total intrinsic value of stock options exercised	$ 6,502	$ 52,952	$ 39,055
Net cash proceeds from the exercise of stock options	1,828	10,071	26,726
Tax benefit from stock option exercises	$ 4,945	$ 18,143	$ 11,559
Weighted average grant date fair value of stock option grants, per share	$ 50.72	$ 37.52	$ 27.66
Summary of non-vested restricted share activity:
Number of Restricted Shares, Non-vested at Beginning of Period	33,677
Number of Restricted Shares, Granted	13,884
Number of Restricted Shares, Vested	(16,335)
Number of Restricted Shares, Canceled	(2,684)
Number of Restricted Shares, Non-vested at End of Period	28,542	33,677
Unrecognized compensation cost related to nonvested share-based compensation granted	$ 64,814
Weighted average period for recognition of unrecognized compensation cost	2 years 1 month 6 days
Restricted Stock
Summary of non-vested restricted share activity:
Number of Restricted Shares, Non-vested at Beginning of Period	485,510
Weighted-Average Grant Date Fair Value, Non-vested at Beginning of Period	$ 157.37
Number of Restricted Shares, Granted	131,650
Weighted-Average Grant Date Fair Value, Granted	$ 223.57
Number of Restricted Shares, Vested	(148,828)
Weighted-Average Grant Date Fair Value, Vested	$ 127.98
Number of Restricted Shares, Canceled	(17,539)
Weighted-Average Grant Date Fair Value, Canceled	$ 182.75
Number of Restricted Shares, Non-vested at End of Period	450,793	485,510
Weighted-Average Grant Date Fair Value, Non-vested at End of Period	$ 186.60	$ 157.37
Fair Value, Share-based Payment Awards, Other than Options	$ 21,154
RSUs Cantel
Summary of non-vested restricted share activity:
Number of Restricted Shares, Non-vested at Beginning of Period	45,722
Weighted-Average Grant Date Fair Value, Non-vested at Beginning of Period	$ 191.18
Number of Restricted Shares, Granted	0
Weighted-Average Grant Date Fair Value, Granted	$ 0
Number of Restricted Shares, Vested	(25,470)
Weighted-Average Grant Date Fair Value, Vested	$ 191.18
Number of Restricted Shares, Canceled	(4,582)
Weighted-Average Grant Date Fair Value, Canceled	$ 191.18
Number of Restricted Shares, Non-vested at End of Period	15,670	45,722
Weighted-Average Grant Date Fair Value, Non-vested at End of Period	$ 191.18	$ 191.18
Unrecognized compensation cost related to nonvested share-based compensation granted	$ 1,563
Weighted average period for recognition of unrecognized compensation cost	7 months 6 days
Restricted Stock Units (RSUs)
Summary of share option activity:
Weighted average grant date fair value of stock option grants, per share		$ 191.18
Summary of non-vested restricted share activity:
Share-based Compensation Arrangement by Share-based Payment Award, Conversion Ratio		0.4262
Share-Based Payment Arrangement, Expense		$ 20,200
Share-based Compensation Arrangement by Share-based Payment Award, Grants in Period, Weighted Average Grant Date Fair Value		53,607
Share-based Compensation Arrangement by Share-based Payment Award, Grants in Period, Weighted Average Grant Date Fair Value Attributable to Pre-Acquisition Services		$ 18,173
Weighted Average Number of Shares, Restricted Stock		280,402