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Revenues from Contracts - Contract Balances (Details) - USD ($) $ in Millions | 3 Months Ended |
--- | --- | ---
Mar. 31, 2023 | Dec. 31, 2022
Revenue from Contract with Customer [Abstract] |  |
Unbilled receivables | $ 100.9 | $ 91.5
Change in unbilled receivables | 9.4 |
Deferred revenue - current | (1,303.8) | (1,370.7)
Change in deferred revenue - current | 66.9 |
Deferred revenue - non-current | (121.4) | (111.5)
Change in deferred revenue - non-current | (9.9) |
Net contract assets/(liabilities) | (1,324.3) | $ (1,390.7)
Change in net contract assets/(liabilities) | $ 66.4 |

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- Definition Contract With Customer, Asset, Net, Increase (Decrease) + References No definition available. + Details
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Namespace Prefix: | rop_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

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- Definition Contract With Customer Liability, Current, Increase (Decrease) + References No definition available. + Details
Name: | rop_ContractWithCustomerLiabilityCurrentIncreaseDecrease
Namespace Prefix: | rop_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

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- Definition Contract With Customer, Liability, Noncurrent, Increase (Decrease) + References No definition available. + Details
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Namespace Prefix: | rop_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- Definition Contract With Customer, Net Asset (Liability) + References No definition available. + Details
Name: | rop_ContractWithCustomerNetAssetLiability
Namespace Prefix: | rop_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

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- Definition Increase (Decrease) In Contract With Customer, Asset (Liability) + References No definition available. + Details
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Namespace Prefix: | rop_
Data Type: | xbrli:monetaryItemType
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- Definition Amount of obligation to transfer good or service to customer for which consideration has been received or is receivable, classified as current. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 606 -SubTopic 10 -Section 45 -Paragraph 1 -URI https://asc.fasb.org/extlink&oid=126919976&loc=SL49130531-203044 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 606 -SubTopic 10 -Section 45 -Paragraph 2 -URI https://asc.fasb.org/extlink&oid=126919976&loc=SL49130532-203044 Reference 3: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 606 -SubTopic 10 -Section 50 -Paragraph 8 -Subparagraph (a) -URI https://asc.fasb.org/extlink&oid=126920106&loc=SL49130549-203045 + Details
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Period Type: | instant

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- Definition Amount of obligation to transfer good or service to customer for which consideration has been received or is receivable, classified as noncurrent. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 606 -SubTopic 10 -Section 45 -Paragraph 2 -URI https://asc.fasb.org/extlink&oid=126919976&loc=SL49130532-203044 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 606 -SubTopic 10 -Section 45 -Paragraph 1 -URI https://asc.fasb.org/extlink&oid=126919976&loc=SL49130531-203044 Reference 3: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 606 -SubTopic 10 -Section 50 -Paragraph 8 -Subparagraph (a) -URI https://asc.fasb.org/extlink&oid=126920106&loc=SL49130549-203045 + Details
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- References No definition available. + Details
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- Definition Unbilled amounts due for services rendered or to be rendered, actions taken or to be taken, or a promise to refrain from taking certain actions in accordance with the terms of a legally binding agreement between the entity and, at a minimum, one other party. An example would be amounts associated with contracts or programs where the recognized revenue for performance thereunder exceeds the amounts billed under the terms thereof as of the date of the balance sheet. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 912 -SubTopic 310 -Section 45 -Paragraph 2 -URI https://asc.fasb.org/extlink&oid=126938201&loc=d3e55302-109406 + Details
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