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Stock-Based Compensation - Additional Disclosures (Details) - USD ($) $ / shares in Units, $ in Thousands	9 Months Ended	12 Months Ended
	Jun. 30, 2022	Jun. 30, 2023	Jun. 30, 2022	Sep. 30, 2021	May 17, 2022	May 16, 2022
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Issuance of shares of common stock	$ 5,702	$ 36,736	$ 5,702	$ 0
Payments related to tax withholding	1,676	$ 20,836	1,676	0
Common stock reserved for future issuance or settlement (in shares)		4,000,000
Share-based Payment Arrangement, Expense	15,763	$ 84,850		1,744
Post-combination portion
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Number					96,650
Pre-combination portion
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Number						102,305
Emerson stock-based compensation plans
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based Payment Arrangement, Expense	$ 1,100	$ 1,800		$ 1,700
Restricted Stock Units
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Granted (in dollars per share)	$ 193.70	$ 201.59
Total fair value of shares vested from RSU grants	$ 46,600	$ 50,500
Total unrecognized compensation cost		$ 47,600
Total unrecognized compensation cost, period of recognition		2 years 6 months 14 days
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Number						504,386
Restricted Stock Units \| Restricted Stock Units
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Number					453,397
Restricted Stock Units \| Post-combination portion
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Number					61,898
Restricted Stock Units \| Pre-combination portion
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Number						22,422
Share-based Payment Arrangement, Option [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Total unrecognized compensation cost		$ 23,400
Total unrecognized compensation cost, period of recognition		2 years 3 months 3 days
Granted (in dollars per share)	$ 193.35	$ 205.46
Total intrinsic value of options exercised	$ 18,700	$ 42,800
Issuance of shares of common stock		45,000	23,000
Payments related to tax withholding		$ 18,000	$ 16,000
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Number	1,175,853	1,005,826	1,175,853	0		1,326,860
Share-based Payment Arrangement, Option [Member] \| Share-based Payment Arrangement, Option [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Number					1,165,494
Share-based Payment Arrangement, Option [Member] \| Post-combination portion
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Number					34,752
Share-based Payment Arrangement, Option [Member] \| Pre-combination portion
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Number						79,883