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Share-based Payment - Summary of Weighted Average Fair Value of Programs Granted and Principal Assumptions used in Applying Black-Scholes Model (Detail) - R$ / shares | 12 Months Ended
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Dec. 31, 2021 | Dec. 31, 2020
Cosan S.A. Industria e Comercio [member] |  |
Disclosure of terms and conditions of share-based payment arrangement [line items] |  |
Share price at grant date | R$ 23.2 | R$ 83.73
Risk-free interest rate | 6.82% | 6.94%
Volatility factor | 36.50% | 36.50%
Rumo S.A. [member] |  |
Disclosure of terms and conditions of share-based payment arrangement [line items] |  |
Share price at grant date | R$ 18.2 | R$ 20.01
Risk-free interest rate | 6.94% | 6.94%
Volatility factor | 26.51% | 36.50%
Comgas [member] |  |
Disclosure of terms and conditions of share-based payment arrangement [line items] |  |
Share price at grant date | R$ 78.58 |
Risk-free interest rate | 6.82% | 6.94%
Volatility factor | 32.81% | 32.81%
Compass Gas e Energia [Member] |  |
Disclosure of terms and conditions of share-based payment arrangement [line items] |  |
Share price at grant date | R$ 27.27 | R$ 13.58

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- Definition The expected volatility of the share price used to calculate the fair value of the share options granted. Expected volatility is a measure of the amount by which a price is expected to fluctuate during a period. The measure of volatility used in option pricing models is the annualised standard deviation of the continuously compounded rates of return on the share over a period of time. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Name IFRS -Number 2 -IssueDate 2021-01-01 -Paragraph 47 -Subparagraph a -Clause i -URI http://eifrs.ifrs.org/eifrs/xifrs-link?type=IFRS&num=2&code=ifrs-tx-2021-en-r&anchor=para_47_a_i&doctype=Standard -URIDate 2021-03-24 + Details
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- Definition The implied yield currently available on zero-coupon government issues of the country in whose currency the exercise price for share options granted is expressed, with a remaining term equal to the expected term of the option being valued (based on the option's remaining contractual life and taking into account the effects of expected early exercise). [Refer: Government [member]] + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Name IFRS -Number 2 -IssueDate 2021-01-01 -Paragraph 47 -Subparagraph a -Clause i -URI http://eifrs.ifrs.org/eifrs/xifrs-link?type=IFRS&num=2&code=ifrs-tx-2021-en-r&anchor=para_47_a_i&doctype=Standard -URIDate 2021-03-24 + Details
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- Definition Line items represent concepts included in a table. These concepts are used to disclose reportable information associated with members defined in one or many axes of the table. + References No definition available. + Details
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- Definition The weighted average share price used as input to the option pricing model to calculate the fair value of share options granted. [Refer: Option pricing model [member]; Weighted average [member]] + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Name IFRS -Number 2 -IssueDate 2021-01-01 -Paragraph 47 -Subparagraph a -Clause i -URI http://eifrs.ifrs.org/eifrs/xifrs-link?type=IFRS&num=2&code=ifrs-tx-2021-en-r&anchor=para_47_a_i&doctype=Standard -URIDate 2021-03-24 + Details
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- Details
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- Details
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- Details
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