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Spin-off Costs (Details) - USD ($)	3 Months Ended		6 Months Ended
	Mar. 31, 2022	Mar. 31, 2021	Mar. 31, 2022	Mar. 31, 2021	Sep. 30, 2021
Spin Off Costs Disclosure [Abstract]
Separation and stand-up costs	$ 7,400,000	$ 0	$ 15,800,000	$ 0
Accrued spin off costs	$ 1,000,000		$ 1,000,000		$ 1,600,000

X

- Definition

Accrued spin off costs.

+ References

No definition available.

+ Details

Name:	embc_AccruedSpinOffCosts
Namespace Prefix:	embc_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

X

- Definition

Standup Costs.

+ References

No definition available.

+ Details

Name:	embc_SeparationAndStandupCosts
Namespace Prefix:	embc_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

X

- Definition

Spin Off Costs Disclosure.

+ References

No definition available.

+ Details

Name:	embc_SpinOffCostsDisclosureAbstract
Namespace Prefix:	embc_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration