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Share-Based Compensation Share-Based Compensation (Details) - USD ($)	3 Months Ended	6 Months Ended
	Sep. 30, 2021	Sep. 30, 2021	Sep. 30, 2020
Share-based Compensation Arrangement by Share-based Payment Award [Line Item]
Remaining shares available for grant	3,257,138	3,257,138
Weighted-average assumptions used for options granted:
Risk-free interest rate		1.16%	0.46%
Expected life of options		5 years 10 months 24 days	6 years
Exptected dividend yield of stock		0.97%	0.96%
Expected volatility of stock		24.37%	23.04%
Estimated forfeiture rate		2.85%	2.78%
Summary of share option activity:
Outstanding at March 31, 2017		1,637,047
Granted		214,734
Exercised		(112,199)
Forfeited		0
Outstanding at June 30, 2017	1,739,582	1,739,582
Exercisable at June 30, 2017	1,094,684	1,094,684
Weighted average exercise price:
Outstanding at March 31, 2017		$ 112.03
Granted		210.79
Exercised		68.78
Forfeited		0
Outstanding at June 30, 2017	$ 127.01	127.01
Exercisable at June 30, 2017	$ 99.58	$ 99.58
Average Remaining Contractual Term, Outstanding at June 30, 2017		6 years 8 months 12 days
Aggregate Intrinsic Value, Outstanding at June 30, 2017	$ 135,815,000	$ 135,815,000
Average Remaining Contractual Term, Exercisable at June 30, 2017		5 years 8 months 12 days
Aggregate Intrinsic Value, Exercisable at June 30, 2017	$ 114,798,000	$ 114,798,000
Non-vested stock options outstanding expected to vest	626,598	626,598
Ordinary shares, closing price	$ 204.28	$ 204.28
Total intrinsic value of stock options exercised		$ 16,076,000	$ 25,244,000
Net cash proceeds from the exercise of stock options		$ 7,829,000	$ 20,600,000
Weighted average grant date fair value of stock option grants, per share		$ 37.34	$ 27.66
Summary of non-vested restricted share activity:
Unrecognized compensation cost related to nonvested share-based compensation granted	$ 61,084,000	$ 61,084,000
Weighted Average Period For Total Compensation Expense Not Yet Recognized		2 years 2 months 12 days
Stock Appreciation Rights (SARs) [Member]
Weighted average exercise price:
FairValueOfOutstandingStockAppreciationRights			$ 448,000
Restricted Stock
Summary of non-vested restricted share activity:
Number of Restricted Shares, Non-vested at Beginning of Period		533,323
Weighted-Average Grant Date Fair Value, Non-vested at Beginning of Period		$ 121.35
Number of Restricted Shares, Granted		112,036
Weighted-Average Grant Date Fair Value, Granted		$ 192.85
Number of Restricted Shares, Vested		(170,619)
Weighted-Average Grant Date Fair Value, Vested		$ 96.19
Number of Restricted Shares, Canceled		(8,425)
Weighted-Average Grant Date Fair Value, Canceled		$ 153.97
Number of Restricted Shares, Non-vested at End of Period	466,315	466,315
Weighted-Average Grant Date Fair Value, Non-vested at End of Period	$ 148.57	$ 148.57
Fair Value, Share-based Payment Awards, Other than Options		$ 17,865,000
Restricted Stock Units (RSUs)
Weighted average exercise price:
Weighted average grant date fair value of stock option grants, per share	$ 191.18
Summary of non-vested restricted share activity:
Number of Restricted Shares, Non-vested at Beginning of Period		29,500
Number of Restricted Shares, Granted		14,189
Number of Restricted Shares, Vested		(15,534)
Number of Restricted Shares, Canceled		(430)
Number of Restricted Shares, Non-vested at End of Period	27,725	27,725
Share-based Payment Arrangement, Expense		$ 17,985,000
Restricted Stock or Unit Expense		$ 280,402
Share-based Compensation Arrangement by Share-based Payment Award, Conversion Ratio		0.4262
Share-based Compensation Arrangement by Share-based Payment Award, Grants in Period, Weighted Average Grant Date Fair Value Attributable to Pre-Acquisition Services	$ 18,173,000
Share-based Compensation Arrangement by Share-based Payment Award, Grants in Period, Weighted Average Grant Date Fair Value	$ 53,607,000
RSUs Cantel
Summary of non-vested restricted share activity:
Number of Restricted Shares, Non-vested at Beginning of Period		0
Weighted-Average Grant Date Fair Value, Non-vested at Beginning of Period		$ 0
Number of Restricted Shares, Granted		280,402
Weighted-Average Grant Date Fair Value, Granted		$ 191.18
Number of Restricted Shares, Vested		(157,821)
Weighted-Average Grant Date Fair Value, Vested		$ 191.18
Number of Restricted Shares, Canceled		(3,380)
Weighted-Average Grant Date Fair Value, Canceled		$ 191.18
Number of Restricted Shares, Non-vested at End of Period	119,201	119,201
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	$ 12,521,000	$ 12,521,000

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