Debt instrument discount rate.

No definition available.

Name:	saro_DebtInstrumentDiscountRate
Namespace Prefix:	saro_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	duration

- Definition

Debt instrument incremental face amount.

+ References

No definition available.

+ Details

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

- Definition

Debt refinancing costs.

+ References

No definition available.

+ Details

Name:	saro_DebtRefinancingCosts
Namespace Prefix:	saro_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

Line of credit, trigger period threshold amount.

+ References

No definition available.

+ Details

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

- Definition

Line of credit, trigger period threshold percentage

+ References

No definition available.

+ Details

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Namespace Prefix:	saro_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	instant

- Definition

New lender fees.

+ References

No definition available.

+ Details

Name:	saro_NewLenderFees
Namespace Prefix:	saro_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

Outstanding amount to commitment amount threshold percentage.

+ References

No definition available.

+ Details

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Namespace Prefix:	saro_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	duration

- Definition

Outstanding principal amount and accrued interest.

+ References

No definition available.

+ Details

Name:	saro_OutstandingPrincipalAmountAndAccruedInterest
Namespace Prefix:	saro_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

Third party related Fees.

+ References

No definition available.

+ Details

Name:	saro_ThirdPartyRelatedFees
Namespace Prefix:	saro_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

Percentage points added to the reference rate to compute the variable rate on the debt instrument.

+ References

No definition available.

+ Details

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Namespace Prefix:	us-gaap_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	duration

- Definition

Amount, before unamortized (discount) premium and debt issuance costs, of long-term debt. Includes, but is not limited to, notes payable, bonds payable, commercial loans, mortgage loans, convertible debt, subordinated debt and other types of debt.

+ References

+ Details

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

- Definition

Description of reference rate used for variable rate of debt instrument.

+ References

No definition available.

+ Details

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

- Definition

Face (par) amount of debt instrument at time of issuance.

+ References

+ Details

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

- Definition

The average effective interest rate during the reporting period.

+ References

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Balance Type:	na
Period Type:	duration

- Definition

Contractual interest rate for funds borrowed, under the debt agreement.

+ References

+ Details

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Balance Type:	na
Period Type:	instant

- Definition

Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

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+ Details

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

- Definition

Date when the debt instrument is scheduled to be fully repaid, in YYYY-MM-DD format.

+ References

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:dateItemType
Balance Type:	na
Period Type:	duration

- Definition

Fair value amount of debt instrument that was repurchased.

+ References

No definition available.

+ Details

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

- Definition

Amount, after accumulated amortization, of debt discount.

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

- Definition

Indicates type of variable interest rate on debt instrument.

+ References

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Namespace Prefix:	us-gaap_
Data Type:	enum2:enumerationSetItemType
Balance Type:	na
Period Type:	duration

- Definition

Amount, after accumulated amortization, of debt issuance costs. Includes, but is not limited to, legal, accounting, underwriting, printing, and registration costs.

+ References

+ Details

Name:	us-gaap_DeferredFinanceCostsNet
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Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

- Definition

Difference between the fair value of payments made and the carrying amount of debt which is extinguished prior to maturity.

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Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

- Definition

The carrying value as of the balance sheet date of the current and noncurrent portions of long-term obligations drawn from a line of credit, which is a bank's commitment to make loans up to a specific amount. Examples of items that might be included in the application of this element may consist of letters of credit, standby letters of credit, and revolving credit arrangements, under which borrowings can be made up to a maximum amount as of any point in time conditional on satisfaction of specified terms before, as of and after the date of drawdowns on the line. Includes short-term obligations that would normally be classified as current liabilities but for which (a) postbalance sheet date issuance of a long term obligation to refinance the short term obligation on a long term basis, or (b) the enterprise has entered into a financing agreement that clearly permits the enterprise to refinance the short-term obligation on a long term basis and the following conditions are met (1) the agreement does not expire within 1 year and is not cancelable by the lender except for violation of an objectively determinable provision, (2) no violation exists at the BS date, and (3) the lender has entered into the financing agreement is expected to be financially capable of honoring the agreement.

+ References

+ Details

Name:	us-gaap_LineOfCredit
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Balance Type:	credit
Period Type:	instant

- Definition

The fee, expressed as a percentage of the line of credit facility, for the line of credit facility regardless of whether the facility has been used.

+ References

No definition available.

+ Details

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Namespace Prefix:	us-gaap_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	duration

- Definition

Amount of current borrowing capacity under the credit facility considering any current restrictions on the amount that could be borrowed (for example, borrowings may be limited by the amount of current assets), but without considering any amounts currently outstanding under the facility.

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Period Type:	instant

- Definition

Maximum borrowing capacity under the credit facility without consideration of any current restrictions on the amount that could be borrowed or the amounts currently outstanding under the facility.

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- Definition

Amount, after deduction of unamortized premium (discount) and debt issuance cost, of long-term debt. Excludes lease obligation.

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Long-term Debt - Additional Information (Details) - USD ($)								3 Months Ended		12 Months Ended
	Oct. 31, 2024	Oct. 03, 2024	Oct. 02, 2024	Mar. 25, 2024	Mar. 24, 2024	Aug. 24, 2023	Aug. 23, 2023	Mar. 31, 2025	Mar. 31, 2024	Dec. 31, 2024	Dec. 31, 2023	Sep. 06, 2024
Debt Instrument [Line Items]
Revolving credit facility								$ 2,373,794,000		$ 2,269,605,000
Loss on debt extinguishment								(0)	$ (3,577,000)
Debt, deferred charges								21,634,000		22,456,000
Third Party Related Fees	$ 23,700,000
Unamortized deferred finance charges								$ 15,147,000		15,723,000
New Credit Agreement
Debt Instrument [Line Items]
Third Party Related Fees	5,700,000
Prior Credit Agreement
Debt Instrument [Line Items]
Loss on debt extinguishment										4,700,000
IPO
Debt Instrument [Line Items]
Proceeds from issue of shares			$ 1,202,800,000
New 2024 Term Loan Facilities due October 31, 2031
Debt Instrument [Line Items]
Aggregate principal amount	$ 2,250,000,000
Debt maturity date	Oct. 31, 2031
New 2024 Term Loan Facilities due October 31, 2031 \| SOFR
Debt Instrument [Line Items]
Debt, variable interest rate	2.25%
New 2024 Term Loan Facilities due October 31, 2031 \| New Credit Agreement
Debt Instrument [Line Items]
Aggregate principal amount	$ 2,250,000,000
New 2024 Term Loan Facilities due October 31, 2031 \| Prior Credit Agreement
Debt Instrument [Line Items]
Loss on debt extinguishment	$ (3,600,000)
New 2024 Term Loan Facilities due October 31, 2031 \| First Lien Credit Agreement \| First Lien Net Leverage Ratio of Less Than 3.00x
Debt Instrument [Line Items]
Debt, variable interest rate	2.00%
New 2024 Term Loan Facilities due October 31, 2029
Debt Instrument [Line Items]
Debt maturity date	Oct. 31, 2029
New 2024 Term Loan Facilities due October 31, 2029 \| New Credit Agreement
Debt Instrument [Line Items]
Aggregate principal amount	$ 750,000,000
New 2024 Term Loan Facilities
Debt Instrument [Line Items]
Debt, variable interest rate								2.00%
Revolving credit facility								$ 2,244,375,000		2,250,000,000
Third Party Related Fees	11,600,000									13,200,000
Debt instrument, description of variable rate basis								SOFR + 2.00%
Debt Instrument, Variable Interest Rate, Type [Extensible Enumeration]								SOFR
Debt refinancing costs										11,600,000
Unamortized deferred finance charges										$ 1,600,000
September 6, 2024 Prior Credit Agreement
Debt Instrument [Line Items]
Third Party Related Fees	1,500,000
March 25, 2024 Prior Credit Agreement
Debt Instrument [Line Items]
Third Party Related Fees	4,900,000
March 25, 2024 Prior Credit Agreement \| Prior Credit Agreement
Debt Instrument [Line Items]
Loss on debt extinguishment				$ (700,000)
New 2024 Revolving Credit Facility
Debt Instrument [Line Items]
Debt, variable interest rate								1.75%		2.00%
Aggregate principal amount								$ 750,000,000
Debt instrument, description of variable rate basis								SOFR + 1.75%		SOFR + 2.00%
Debt Instrument, Variable Interest Rate, Type [Extensible Enumeration]								SOFR		SOFR
New lender fees								$ 3,800,000
Line of credit outstanding										$ 0
Available borrowing amount								624,100,000
New 2024 Revolving Credit Facility \| First Lien Net Leverage Ratio of Less Than 3.25x
Debt Instrument [Line Items]
Debt, variable interest rate										1.75%
New 2024 Revolving Credit Facility \| First Lien Net Leverage Ratio of less than 2.75x
Debt Instrument [Line Items]
Debt, variable interest rate										1.50%
New 2024 Revolving Credit Facility \| New Credit Agreement
Debt Instrument [Line Items]
Proceeds	95,000,000
New 2024 Revolving Credit Facility \| Letters of Credit
Debt Instrument [Line Items]
Capacity								150,000,000
Prior 2023 Term Loan Facilities
Debt Instrument [Line Items]
Debt, carrying amount				2,562,100,000		$ 2,575,000,000
Debt instrument discount rate						1.00%
Debt maturity date						Aug. 24, 2028
Loss on debt extinguishment										$ (700,000)
Third party fees related to debt modification										4,900,000
Unamortized deferred finance charges				$ 100,000
Prior 2023 Term Loan Facilities \| SOFR
Debt Instrument [Line Items]
Debt, variable interest rate				3.50%	3.25%	4.00%	3.75%
Prior 2023 Term Loan Facilities \| Base Rate
Debt Instrument [Line Items]
Debt, variable interest rate				2.50%	2.25%	3.00%	2.75%
Prior 2023 Revolving Credit Facility
Debt Instrument [Line Items]
Loss on debt extinguishment										400,000
Line of credit outstanding	0
Capacity								$ 150,000,000
Prior 2023 Revolving Credit Facility \| Prior Credit Agreement
Debt Instrument [Line Items]
Debt maturity date								May 01, 2028
Loss on debt extinguishment											$ (400,000)
Prior 2023 Revolving Credit Facility \| Letters of Credit
Debt Instrument [Line Items]
Capacity								$ 75,000,000
Prior ABL Credit Facility
Debt Instrument [Line Items]
Debt maturity date								May 01, 2028
Capacity										400,000,000
Prior Senior Notes
Debt Instrument [Line Items]
Debt maturity date								Apr. 04, 2027
Loss on debt extinguishment										(5,700,000)
Debt, stated interest rate								10.00%
New 2024 Term Loan B-1 Facility
Debt Instrument [Line Items]
Aggregate principal amount								$ 1,630,000,000
Prior 2024 Term Loan Facilities
Debt Instrument [Line Items]
Loss on debt extinguishment	$ (3,600,000)
New 2024 Term Loan B-2 Facility
Debt Instrument [Line Items]
Aggregate principal amount								620,000,000
2023 Term Loan Facilities
Debt Instrument [Line Items]
Loss on debt extinguishment								6,200,000
Unamortized deferred finance charges						$ 800,000
2019 and 2021 Term Loan Facility
Debt Instrument [Line Items]
Debt, deferred charges								$ 22,800,000
2019 Term Loan Facilities
Debt Instrument [Line Items]
Third party fees related to debt modification											$ 19,900,000
2024 Term Loan Facilities
Debt Instrument [Line Items]
Third party fees related to debt modification										1,500,000
Additional Term Loans
Debt Instrument [Line Items]
Debt, face amount				$ 200,000,000
2024 Term Loans
Debt Instrument [Line Items]
Debt, face amount												$ 200,000,000
2023 Revolving Credit Facility
Debt Instrument [Line Items]
Outstanding amount to commitment amount threshold percentage								35.00%
2023 Revolving Credit Facility \| SOFR \| Minimum
Debt Instrument [Line Items]
Debt, variable interest rate								3.125%
2023 Revolving Credit Facility \| SOFR \| Maximum
Debt Instrument [Line Items]
Debt, variable interest rate								3.50%
ABL Credit Facility
Debt Instrument [Line Items]
Loss on debt extinguishment										$ (2,000,000)
Threshold percentage of trigger period								10.00%
Threshold amount of trigger period								$ 30,000,000
ABL Credit Facility \| Minimum
Debt Instrument [Line Items]
Annual commitment fee percentage								0.25%
ABL Credit Facility \| Maximum
Debt Instrument [Line Items]
Annual commitment fee percentage								0.375%
ABL Credit Facility \| SOFR \| Minimum
Debt Instrument [Line Items]
Debt, variable interest rate								1.50%
ABL Credit Facility \| SOFR \| Maximum
Debt Instrument [Line Items]
Debt, variable interest rate								2.00%
ABL Credit Facility \| Base Rate \| Minimum
Debt Instrument [Line Items]
Debt, variable interest rate								0.50%
ABL Credit Facility \| Base Rate \| Maximum
Debt Instrument [Line Items]
Debt, variable interest rate								1.00%
ABL Credit Facility \| Prime Lending Rate \| Minimum
Debt Instrument [Line Items]
Debt, variable interest rate								0.50%
ABL Credit Facility \| Prime Lending Rate \| Maximum
Debt Instrument [Line Items]
Debt, variable interest rate								1.00%
Senior Notes
Debt Instrument [Line Items]
Loss on debt extinguishment								$ (2,900,000)
Debt redeemed				$ 200,000,000
Weighted average interest rate of borrowings								6.60%	9.50%
Outstanding principal amount and accrued interest		$ 487,500,000