| Document and Entity Information | Sep. 28, 2021 |
| Document And Entity Information [Line Items] | |
| Document Type | 8-K |
| Document Period End Date | Sep. 28, 2021 |
| Entity Registrant Name | CBRE ACQUISITION HOLDINGS, INC. |
| Entity Incorporation, State or Country Code | DE |
| Entity File Number | 001-39798 |
| Entity Tax Identification Number | 85-3448396 |
| Entity Address, Address Line One | 2100 McKinney Avenue |
| Entity Address, Address Line Two | Suite 1250 |
| Entity Address, City or Town | Dallas |
| Entity Address, State or Province | TX |
| Entity Address, Postal Zip Code | 75201 |
| City Area Code | 214 |
| Local Phone Number | 979-6100 |
| Written Communications | true |
| Soliciting Material | false |
| Pre-commencement Tender Offer | false |
| Pre-commencement Issuer Tender Offer | false |
| Entity Emerging Growth Company | true |
| Entity Ex Transition Period | false |
| Amendment Flag | false |
| Entity Central Index Key | 0001828723 |
| Class A Common Stock included as partof the SAIL SM securities [Member] | |
| Document And Entity Information [Line Items] | |
| Title of 12(b) Security | Class A Common Stock included as part of the SAILSM securities |
| Trading Symbol | CBAH |
| Security Exchange Name | NYSE |
| Warrants included as part of theSAIL SM securities, each whole warrantexercisable for one share of Class ACommon Stock at an exercise price of$11.00 [Member] | |
| Document And Entity Information [Line Items] | |
| Title of 12(b) Security | Warrants included as part of the SAILSM securities, each whole warrant exercisable for one share of Class A Common Stock |
| Trading Symbol | CBAH WS |
| Security Exchange Name | NYSE |
| SAIL SM (Stakeholder Aligned Initial Listing) securities, each consisting of one share of Class A Common Stock, $0.0001 par value, and one-fourth of one redeemable warrant [Member] | |
| Document And Entity Information [Line Items] | |
| Title of 12(b) Security | SAIL SM (Stakeholder Aligned Initial Listing) securities, each consisting of one share of Class A Common Stock, $0.0001 par value |
| Trading Symbol | CBAH.U |
| Security Exchange Name | NYSE |
