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Retirement and Other Benefit Plans (Details) $ in Millions	12 Months Ended
	Dec. 31, 2022 USD ($) plan	Dec. 31, 2021 USD ($) plan	Dec. 31, 2020 USD ($) plan
Retirement Benefits [Abstract]
Number of defined contribution plans maintained by the company | plan	3	3	3
Defined contribution retirement plan cost | $	$ 34.1	$ 30.2	$ 24.3

X

- Definition

Number of defined contribution plans maintained by the company.

+ References

No definition available.

+ Details

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Namespace Prefix:	rop_
Data Type:	xbrli:integerItemType
Balance Type:	na
Period Type:	duration

X

- References

No definition available.

+ Details

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

X

- Definition

Amount of cost for defined contribution plan.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 715
-SubTopic 70
-Section 50
-Paragraph 1
-URI https://asc.fasb.org/extlink&oid=49170846&loc=d3e28014-114942

+ Details

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