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Commitments and Contingencies - Additional Information (Detail) - USD ($) $ in Millions	12 Months Ended
	Dec. 31, 2022	Dec. 31, 2021
Other Commitments [Line Items]
Guarantees	$ 7.0	$ 4.6
Minimum [Member]
Other Commitments [Line Items]
Fixed maturity guarantee remaining term	1 month
Maximum [Member]
Other Commitments [Line Items]
Fixed maturity guarantee remaining term	4 years
Additional Cost To Complete Wip [Member]
Other Commitments [Line Items]
Capital commitments	$ 37.7	23.5
Additional Cost To Complete Wip [Member] | Computer Software, Intangible Asset [Member]
Other Commitments [Line Items]
Capital commitments	$ 25.0	$ 0.0

X

- Definition

Guarantor obligations, fixed maturity remaining term.

+ References

No definition available.

+ Details

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Namespace Prefix:	iosp_
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Balance Type:	na
Period Type:	duration

X

- Definition

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

+ References

No definition available.

+ Details

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

X

- Definition

The current carrying amount of the liability for the freestanding or embedded guarantor's obligations under the guarantee or each group of similar guarantees.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 460
-SubTopic 10
-Section 50
-Paragraph 4
-Subparagraph (c)
-URI https://asc.fasb.org/extlink&oid=124440162&loc=d3e12069-110248

+ Details

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X

- 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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- Details

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- Details

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- Details

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X

- Details

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