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Revenues (Details) - USD ($) $ in Millions | 3 Months Ended | 9 Months Ended |
--- | --- | --- | ---
Jun. 30, 2025 | Jun. 30, 2024 | Jun. 30, 2025 | Jun. 30, 2024 | Sep. 30, 2024
Revenue from Contract with Customer [Abstract] |  |  |  |  |
Customer rebate liability | $ 143.9 |  | $ 143.9 |  | $ 149.6
Rebates recorded | $ 143.0 | $ 124.5 | $ 436.3 | $ 389.7 |

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- Definition Reduction in rebate liability. + References No definition available. + Details
Name: | embc_RevenueFromContractWithCustomerSalesDeductionsRecognized
Namespace Prefix: | embc_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- Definition Amount of liability for consideration received or receivable from customer which is not included in transaction price, when consideration is expected to be refunded to customer. + References Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef -Topic 606 -SubTopic 10 -Name Accounting Standards Codification -Section 55 -Paragraph 27 -Publisher FASB -URI https://asc.fasb.org/1943274/2147479777/606-10-55-27 + Details
Name: | us-gaap_ContractWithCustomerRefundLiability
Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

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- References No definition available. + Details
Name: | us-gaap_RevenueFromContractWithCustomerAbstract
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration