Equity Instrument, Cost Related Transaction Amount

No definition available.

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Namespace Prefix:	gtes_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

Payments for Repurchase of Common Stock, Gross

+ References

No definition available.

+ Details

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Namespace Prefix:	gtes_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

- Definition

Amount authorized for purchase of share under share repurchase plan. Includes, but is not limited to, repurchase of stock and unit of ownership.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 505
-SubTopic 30
-Name Accounting Standards Codification
-Section 50
-Paragraph 4
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147481520/505-30-50-4

+ Details

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Data Type:	xbrli:monetaryItemType
Balance Type:	credit
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.

+ References

No definition available.

+ Details

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Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

- Definition

The cash outflow to reacquire common stock during the period.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
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-Section 45
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-Subparagraph (a)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482740/230-10-45-15

+ Details

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

- Definition

The cash inflow from a debt initially having maturity due after one year or beyond the operating cycle, if longer.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 946
-SubTopic 10
-Name Accounting Standards Codification
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+ Details

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

- Definition

The number of shares issued or sold by the subsidiary or equity method investee per stock transaction.

+ References

No definition available.

+ Details

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

- Definition

Price of a single share of a number of saleable stocks of a company.

+ References

No definition available.

+ Details

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Namespace Prefix:	us-gaap_
Data Type:	dtr-types:perShareItemType
Balance Type:	na
Period Type:	instant

- Definition

Amount remaining authorized for purchase of share under share repurchase plan. Includes, but is not limited to, repurchase of stock and unit of ownership.

+ References

No definition available.

+ Details

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

- Definition

Number of shares that have been repurchased during the period and have not been retired and are not held in treasury. Some state laws may govern the circumstances under which an entity may acquire its own stock and prescribe the accounting treatment therefore. This element is used when state law does not recognize treasury stock.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
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+ Details

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Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	duration

- Details

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Namespace Prefix:
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- Details

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- Details

Name:	us-gaap_RelatedPartyTransactionsByRelatedPartyAxis=srt_AffiliatedEntityMember
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Balance Type:
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- Details

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- Details

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Equity - Narratives (Details) - USD ($)				3 Months Ended
Equity - Narratives (Details) - USD ($)	Aug. 16, 2024	Feb. 16, 2024	Feb. 12, 2024	Mar. 29, 2025	Mar. 30, 2024	Jul. 31, 2024	Feb. 29, 2024
Defined Benefit Plan Disclosure
Repurchase program, authorized amount						$ 250,000,000	$ 100,000,000
Shares repurchased and cancelled (in shares)				672,911
Payments for repurchase of common stock				$ 13,000,000.0	$ 50,300,000
Debt instrument, cost related transaction amount				100,000
Payments for repurchase of common stock, gross				12,900,000
Share repurchase remaining amount				$ 112,100,000
—Revolving credit facility
Defined Benefit Plan Disclosure
Proceeds from long-term debt	$ 40,000,000
Citigroup \| Affiliated Entity
Defined Benefit Plan Disclosure
Share price (in usd per share)		$ 12.045
Shares repurchased and cancelled (in shares)	7,539,203	4,151,100
Payments for repurchase of common stock	$ 125,000,000	$ 50,000,000
Debt instrument, cost related transaction amount	$ 800,000	$ 300,000
Scenario, Plan \| Private Placement
Defined Benefit Plan Disclosure
Issuance of shares (in shares)	23,000,000		20,125,000
Share price (in usd per share)	$ 16.58		$ 12.045