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Revenue Recognition - Additional Information (Details)	12 Months Ended
	Dec. 31, 2020
Revenue From Contract With Customer [Abstract]
Revenue, performance obligation, description of payment terms	The timing of satisfaction of the Company’s performance obligations does not significantly vary from the typical timing of payment. For some contracts, the Company may be entitled to receive an advance payment.
Revenue, practical expedient, financing component	true
Percentage of revenue satisfied over time	3.00%

X

- Definition

Revenue, performance obligation satisfied over time, percentage.

+ References

No definition available.

+ Details

Name:	rezi_RevenuePerformanceObligationSatisfiedOverTimePercentage
Namespace Prefix:	rezi_
Data Type:	num:percentItemType
Balance Type:	na
Period Type:	instant

X

- References

No definition available.

+ Details

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

X

- Definition

Description of payment terms in contract with customer. Includes, but is not limited to, timing of payment, existence of financing component, variability of consideration and constraint on variable consideration.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 606
-SubTopic 10
-Section 50
-Paragraph 12
-Subparagraph (b)
-URI http://asc.fasb.org/extlink&oid=121604090&loc=SL49130554-203045

+ Details

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

X

- Definition

Indicates (true false) whether practical expedient was elected not to adjust consideration for effect of financing component when transfer and customer payment for product or service occurs within one year or less.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 606
-SubTopic 10
-Section 50
-Paragraph 22
-URI http://asc.fasb.org/extlink&oid=121604090&loc=SL49130569-203045

+ Details

Name:	us-gaap_RevenuePracticalExpedientFinancingComponent
Namespace Prefix:	us-gaap_
Data Type:	xbrli:booleanItemType
Balance Type:	na
Period Type:	duration