Consolidated Statements of Cash Flows (USD $) In Thousands, unless otherwise specified	12 Months Ended
Dec. 31, 2014	Dec. 31, 2013	Dec. 31, 2012
Cash flows from operating activities:
Net earnings	$ 646,033us-gaap_NetIncomeLoss	$ 538,293us-gaap_NetIncomeLoss	$ 483,360us-gaap_NetIncomeLoss
Adjustments to reconcile net earnings to cash flows from operating activities:
Depreciation and amortization of property, plant and equipment	40,890us-gaap_Depreciation	37,756us-gaap_Depreciation	37,888us-gaap_Depreciation
Amortization of intangible assets	156,394us-gaap_AmortizationOfIntangibleAssets	151,434us-gaap_AmortizationOfIntangibleAssets	116,860us-gaap_AmortizationOfIntangibleAssets
Amortization of deferred financing costs	4,003us-gaap_AmortizationOfFinancingCosts	3,918us-gaap_AmortizationOfFinancingCosts	2,399us-gaap_AmortizationOfFinancingCosts
Non-cash stock compensation	63,027us-gaap_ShareBasedCompensation	53,133us-gaap_ShareBasedCompensation	40,773us-gaap_ShareBasedCompensation
Changes in operating assets and liabilities, net of acquired businesses:
Accounts receivable	(404)	32,800	(16,455)
Inventories	6,349us-gaap_IncreaseDecreaseInInventories	(12,687)us-gaap_IncreaseDecreaseInInventories	18,361us-gaap_IncreaseDecreaseInInventories
Unbilled Receivables	(10,305)	(14,754)	(5,122)
Accounts payable and accrued liabilities	(20,455)	23,305	9,209
Income taxes payable	(46,619)rop_IncomeTaxes	(6,427)rop_IncomeTaxes	(15,988)rop_IncomeTaxes
Other, net	1,528	(4,218)	6,567
Cash provided by operating activities	840,441	802,553	677,852
Cash flows from investing activities:
Acquisitions of businesses, net of cash acquired	(305,379)	(1,074,413)	(1,467,772)
Capital expenditures	(37,644)	(42,528)	(38,405)
Proceeds from sale of assets	1,506	2,174	1,315
Other, net	(6,588)	(1,096)	(683)
Cash used in investing activities	(348,105)	(1,115,863)	(1,505,545)
Cash flows from financing activities:
Proceeds from senior notes	0	800,000	900,000
Payment of senior notes	0us-gaap_MaturitiesOfSeniorDebt	(500,000)us-gaap_MaturitiesOfSeniorDebt	0us-gaap_MaturitiesOfSeniorDebt
Borrowings/(payments) under revolving line of credit, net	(250,000)us-gaap_RepaymentsOfLinesOfCredit	150,000us-gaap_RepaymentsOfLinesOfCredit	100,000us-gaap_RepaymentsOfLinesOfCredit
Principal payments on convertible notes	(561)us-gaap_RepaymentsOfConvertibleDebt	(3,702)us-gaap_RepaymentsOfConvertibleDebt	(57,304)us-gaap_RepaymentsOfConvertibleDebt
Debt issuance costs	0us-gaap_PaymentsOfDebtIssuanceCosts	(7,717)us-gaap_PaymentsOfDebtIssuanceCosts	(12,213)us-gaap_PaymentsOfDebtIssuanceCosts
Cash dividends to stockholders	(79,859)us-gaap_PaymentsOfDividends	(49,092)us-gaap_PaymentsOfDividends	(69,903)us-gaap_PaymentsOfDividends
Treasury stock sales	2,751us-gaap_ProceedsFromSaleOfTreasuryStock	2,449us-gaap_ProceedsFromSaleOfTreasuryStock	2,195us-gaap_ProceedsFromSaleOfTreasuryStock
Stock award tax excess windfall benefit	21,081	11,709	30,747
Proceeds from stock based compensation, net	10,463	7,944	37,679
Redemption Premium Convertible Debt	(1,518)rop_RedemptionPremiumConvertibleDebt	(9,124)rop_RedemptionPremiumConvertibleDebt	(76,641)rop_RedemptionPremiumConvertibleDebt
Other	(461)	1,166	(690)
Cash used in financing activities	(298,104)	403,633	853,870
Effect of foreign currency exchange rate changes on cash	(43,522)	(1,193)	6,312
Net increase in cash and cash equivalents	150,710	89,130	32,489
Cash and cash equivalents, beginning of year	459,720	370,590	338,101
Cash and cash equivalents, end of year	610,430	459,720	370,590
Cash paid for:
Interest	74,446us-gaap_InterestPaidNet	94,648us-gaap_InterestPaidNet	67,804us-gaap_InterestPaidNet
Income taxes, net of refunds received	300,969us-gaap_IncomeTaxesPaidNet	210,540us-gaap_IncomeTaxesPaidNet	188,560us-gaap_IncomeTaxesPaidNet
Noncash investing activities:
Fair value of assets, including goodwill	324,717us-gaap_FairValueOfAssetsAcquired	1,275,827us-gaap_FairValueOfAssetsAcquired	1,824,453us-gaap_FairValueOfAssetsAcquired
Liabilities assumed	(19,338)us-gaap_LiabilitiesAssumed1	(201,414)us-gaap_LiabilitiesAssumed1	(356,681)us-gaap_LiabilitiesAssumed1
Cash paid, net of cash acquired	$ 305,379	$ 1,074,413	$ 1,467,772

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

- Definition

The net cash outflow or inflow from purchases, sales and disposals of property, plant and equipment and other productive assets, including intangibles.

+ References

Reference 1: http://www.xbrl.org/2003/role/presentationRef

-Publisher FASB

-Name Accounting Standards Codification

-Glossary Investing Activities

-URI http://asc.fasb.org/extlink&oid=6516133

+ Details

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

- Definition

The cash outflow paid to third parties in connection with debt origination, which will be amortized over the remaining maturity period of the associated long-term debt.

+ References

+ Details

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

- Definition

Cash outflow in the form of capital distributions and dividends to common shareholders, preferred shareholders and noncontrolling interests.

+ References

+ Details

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

- Definition

The cash outflow associated with the acquisition of a business, net of the cash acquired from the purchase.

+ References

+ Details

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

- Definition

The cash outflow for purchases of and capital improvements on property, plant and equipment (capital expenditures), software, and other intangible assets.

+ References

+ Details

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

- Definition

The cash inflow from a borrowing with the highest claim on the assets of the entity in case of bankruptcy or liquidation (with maturities initially due after one year or beyond the operating cycle, if longer).

+ References

+ Details

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

- Definition

The net cash inflow or outflow from other financing activities. This element is used when there is not a more specific and appropriate element in the taxonomy.

+ References

Reference 1: http://www.xbrl.org/2003/role/presentationRef

-Publisher FASB

-Name Accounting Standards Codification

-Glossary Financing Activities

-URI http://asc.fasb.org/extlink&oid=6513228

Reference 2: http://www.xbrl.org/2003/role/presentationRef

-Publisher FASB

-Name Accounting Standards Codification

-Topic 230

-SubTopic 10

-Section 45

-Paragraph 8

-URI http://asc.fasb.org/extlink&oid=31042434&loc=d3e3095-108585

Reference 3: http://www.xbrl.org/2003/role/presentationRef

-Publisher FASB

-Name Accounting Standards Codification

-Topic 230

-SubTopic 10

-Section 45

-Paragraph 9

-URI http://asc.fasb.org/extlink&oid=31042434&loc=d3e3098-108585

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

- Definition

The cash inflow from the issuance of an equity stock that has been previously reacquired by the entity.

+ References

+ Details

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

- Definition

The cash outflow from the repayment of a long-term debt instrument which can be exchanged for a specified amount of another security, typically the entity's common stock, at the option of the issuer or the holder.

+ References

+ Details

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

- Definition

Amount of cash outflow for payment of an obligation from a lender, including but not limited to, letter of credit, standby letter of credit and revolving credit arrangements.

+ References

Reference 1: http://www.xbrl.org/2003/role/presentationRef

-Publisher FASB

-Name Accounting Standards Codification

-Topic 235

-SubTopic 10

-Section S99

-Paragraph 1

-Subparagraph (SX 210.4-08.(f))

-URI http://asc.fasb.org/extlink&oid=26873400&loc=d3e23780-122690

Reference 2: http://www.xbrl.org/2003/role/presentationRef

-Publisher SEC

-Name Regulation S-X (SX)

-Number 210

-Section 08

-Paragraph f

-Article 4

Reference 3: http://www.xbrl.org/2003/role/presentationRef

-Publisher FASB

-Name Accounting Standards Codification

-Topic 230

-SubTopic 10

-Section 45

-Paragraph 15

-Subparagraph (b)

-URI http://asc.fasb.org/extlink&oid=31042434&loc=d3e3291-108585

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-Publisher FASB

-Name Accounting Standards Codification

-Glossary Financing Activities

-URI http://asc.fasb.org/extlink&oid=6513228

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

- Definition

The aggregate amount of noncash, equity-based employee remuneration. This may include the value of stock or unit options, amortization of restricted stock or units, and adjustment for officers' compensation. As noncash, this element is an add back when calculating net cash generated by operating activities using the indirect method.

+ References

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Balance Type:	debit
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