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Commitments and Contingencies - Additional Information (Details) - USD ($) $ in Millions	3 Months Ended
	Mar. 31, 2025	Dec. 31, 2024
Commitments and Contingencies Disclosure [Abstract]
Contractual commitments	$ 27.2	$ 30.6
Lease not yet commenced, term of contract	30 years
Leases not yet commenced, liability	$ 72.9

X

- Definition

Lessee lease not yet commenced term of contract.

+ References

No definition available.

+ Details

Name:	saro_LesseeLeaseNotYetCommencedTermOfContract
Namespace Prefix:	saro_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration

X

- Definition

Lessee leases not yet commenced liability.

+ References

No definition available.

+ Details

Name:	saro_LesseeLeasesNotYetCommencedLiability
Namespace Prefix:	saro_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

X

- References

No definition available.

+ Details

Name:	us-gaap_CommitmentsAndContingenciesDisclosureAbstract
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

X

- Definition

Amount of contractual obligation, including, but not limited to, long-term debt, lease obligation, purchase obligation, and other commitments.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 235
-SubTopic 10
-Name Accounting Standards Codification
-Section S99
-Paragraph 3
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480678/235-10-S99-3

+ Details

Name:	us-gaap_ContractualObligation
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant