Equity Based Compensation - Unit Option Plan (Details) shares in Thousands, UYI in Millions	3 Months Ended
Mar. 31, 2022 UYI $ / shares shares	Mar. 31, 2021 $ / shares shares
Equity Based Compensation
Term	P10Y
Stock options
Assumptions
Approximate risk-free rate		0.49%
Average expected life		6 years
Volatility		47.60%
Estimated per share fair value of options granted \| $ / shares	$ 0	$ 12.89
Other disclosures
Expense remaining to be recognized \| UYI	$ 1.3
Period expense remaining to be recognized	8 years
Options outstanding	7,600	8,400
Option exercised	26	0
Stock options \| Minimum
Equity Based Compensation
Vesting period	3 years
Stock options \| Maximum
Equity Based Compensation
Vesting period	5 years

Weighted-average period over which cost not yet recognized is expected to be recognized for award under share-based payment arrangement, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days.

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Amount of cost to be recognized for option under share-based payment arrangement.

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Period over which grantee's right to exercise award under share-based payment arrangement is no longer contingent on satisfaction of service or performance condition, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days. Includes, but is not limited to, combination of market, performance or service condition.

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The estimated measure of the percentage by which a share price is expected to fluctuate during a period. Volatility also may be defined as a probability-weighted measure of the dispersion of returns about the mean. The volatility of a share price is the standard deviation of the continuously compounded rates of return on the share over a specified period. That is the same as the standard deviation of the differences in the natural logarithms of the stock prices plus dividends, if any, over the period.

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The risk-free interest rate assumption that is used in valuing an option on its own shares.

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Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

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The weighted average grant-date fair value of options granted during the reporting period as calculated by applying the disclosed option pricing methodology.

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Number of options outstanding, including both vested and non-vested options.

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Description of terms of award under share-based payment arrangement.

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Expected term of award under share-based payment arrangement, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days.

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Number of share options (or share units) exercised during the current period.

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