Employee Service Share-based Compensation, Non-vested Awards, Compensation Recognized Upon Liquidity

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Share-based Compensation Arrangement by Share-based Payment Award, Award Performance Period

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Share-based Compensation Arrangement by Share-based Payment Award, Percentage Expected To Vest Through Performance Period

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Share-based Compensation Arrangement by Share-based Payment Award, Percentage Expected To Vest Upon Achievement Of Certain Relative Shareholder Return

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Amount, after tax, of expense for award under share-based payment arrangement.

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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 nonvested award under share-based payment arrangement. Excludes share and unit options.

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

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Amount of cash inflow from exercise of option under share-based payment arrangement.

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Amount of noncash expense for 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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Amount of accumulated difference between fair value of underlying shares on dates of exercise and exercise price on options exercised (or share units converted) into shares.

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Amount by which current fair value of underlying stock exceeds exercise price of fully vested and expected to vest options outstanding. Includes, but is not limited to, unvested options for which requisite service period has not been rendered but that are expected to vest based on achievement of performance condition, if forfeitures are recognized when they occur.

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Percentage of vesting of award under share-based payment arrangement.

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Intrinsic value of vested award under share-based payment arrangement. Excludes share and unit options.

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Period from grant date that an equity-based award expires, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

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Weighted average remaining contractual term for vested portions of options outstanding and currently exercisable or convertible, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

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Weighted average remaining contractual term for fully vested and expected to vest exercisable or convertible options, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days. Includes, but is not limited to, unvested options for which requisite service period has not been rendered but that are expected to vest based on achievement of performance condition, if forfeitures are recognized when they occur.

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Share-based compensation - Narratives (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Jul. 02, 2022	Jul. 03, 2021	Jul. 02, 2022	Jul. 03, 2021	Jan. 01, 2022
Share-based Compensation Arrangement by Share-based Payment Award
Share based compensation expense recognized	$ 3.5	$ 6.5	$ 27.6	$ 12.8
Share-based compensation expense	3.5	6.5	27.6	12.8
Proceeds from stock options exercised	13.7	2.0	13.9	3.7
—Share options
Share-based Compensation Arrangement by Share-based Payment Award
Aggregate intrinsic value of options that were vested or expected to vest	26.5		$ 26.5
Contractual term of options that were vested or expect to vest			4 years 8 months 12 days
Aggregate intrinsic value of options exercisable	25.8		$ 25.8
Contractual term of options exercisable			4 years 3 months 18 days
Unrecognized compensation relating to non-vested awards	3.0		$ 3.0
Unrecognized compensation relating to non-vested awards, recognition period (term)			1 year 3 months 18 days
Unrecognized compensation relating to non-vested awards recognizable upon liquidity	6.8		$ 6.8
Aggregate intrinsic value of options exercised	0.5	2.4	$ 0.6	4.3
—PRSUs
Share-based Compensation Arrangement by Share-based Payment Award
Unrecognized compensation relating to non-vested awards, recognition period (term)			1 year 10 months 24 days
Unrecognized compensation relating to non-vested awards other than option	30.2		$ 30.2
RSU's and PRSU's
Share-based Compensation Arrangement by Share-based Payment Award
Unrecognized compensation relating to non-vested awards, recognition period (term)			1 year 10 months 24 days
Unrecognized compensation relating to non-vested awards other than option	30.2		$ 30.2
Aggregate intrinsic value of non options vested	$ 0.4	$ 0.4	$ 12.1	$ 8.1
Omaha Topco Ltd. Stock Incentive Plan \| Tranche 1
Share-based Compensation Arrangement by Share-based Payment Award
Vesting percentage			20.00%
Omaha Topco Ltd. Stock Incentive Plan \| Tranche 2
Share-based Compensation Arrangement by Share-based Payment Award
Vesting percentage			20.00%
Omaha Topco Ltd. Stock Incentive Plan \| Tranche 3
Share-based Compensation Arrangement by Share-based Payment Award
Vesting percentage			20.00%
Omaha Topco Ltd. Stock Incentive Plan \| Tranche 4
Share-based Compensation Arrangement by Share-based Payment Award
Vesting percentage			20.00%
Omaha Topco Ltd. Stock Incentive Plan \| Tranche 5
Share-based Compensation Arrangement by Share-based Payment Award
Vesting percentage			20.00%
Omaha Topco Ltd. Stock Incentive Plan \| —Share options
Share-based Compensation Arrangement by Share-based Payment Award
Share-based compensation expense			$ 16.1
Omaha Topco Ltd. Stock Incentive Plan \| —SARs
Share-based Compensation Arrangement by Share-based Payment Award
Share-based compensation expense			$ 2.6
Omaha Topco Ltd. Stock Incentive Plan \| —Tier I \| —Share options
Share-based Compensation Arrangement by Share-based Payment Award
Vesting period			5 years
Term of award			10 years
Gates Industrial Corporation Plc 2018 Omnibus Incentive Plan \| —Share options \| Minimum
Share-based Compensation Arrangement by Share-based Payment Award
Vesting period			3 years
Gates Industrial Corporation Plc 2018 Omnibus Incentive Plan \| —Share options \| Maximum
Share-based Compensation Arrangement by Share-based Payment Award
Vesting period			4 years
Gates Industrial Corporation Plc 2018 Omnibus Incentive Plan \| —Share options \| Tranche 1 \| Minimum
Share-based Compensation Arrangement by Share-based Payment Award
Vesting percentage			33.00%
Gates Industrial Corporation Plc 2018 Omnibus Incentive Plan \| —Share options \| Tranche 1 \| Maximum
Share-based Compensation Arrangement by Share-based Payment Award
Vesting percentage			25.00%
Gates Industrial Corporation Plc 2018 Omnibus Incentive Plan \| —Share options \| Tranche 2 \| Minimum
Share-based Compensation Arrangement by Share-based Payment Award
Vesting percentage			33.00%
Gates Industrial Corporation Plc 2018 Omnibus Incentive Plan \| —Share options \| Tranche 2 \| Maximum
Share-based Compensation Arrangement by Share-based Payment Award
Vesting percentage			25.00%
Gates Industrial Corporation Plc 2018 Omnibus Incentive Plan \| —Share options \| Tranche 3 \| Minimum
Share-based Compensation Arrangement by Share-based Payment Award
Vesting percentage			33.00%
Gates Industrial Corporation Plc 2018 Omnibus Incentive Plan \| —Share options \| Tranche 3 \| Maximum
Share-based Compensation Arrangement by Share-based Payment Award
Vesting percentage			25.00%
Gates Industrial Corporation Plc 2018 Omnibus Incentive Plan \| —Share options \| Tranche 4 \| Maximum
Share-based Compensation Arrangement by Share-based Payment Award
Vesting percentage			25.00%
Gates Industrial Corporation Plc 2018 Omnibus Incentive Plan \| —SARs \| Tranche 1 \| Minimum
Share-based Compensation Arrangement by Share-based Payment Award
Vesting percentage			33.00%
Gates Industrial Corporation Plc 2018 Omnibus Incentive Plan \| —SARs \| Tranche 1 \| Maximum
Share-based Compensation Arrangement by Share-based Payment Award
Vesting percentage			25.00%
Gates Industrial Corporation Plc 2018 Omnibus Incentive Plan \| —SARs \| Tranche 2 \| Minimum
Share-based Compensation Arrangement by Share-based Payment Award
Vesting percentage			33.00%
Gates Industrial Corporation Plc 2018 Omnibus Incentive Plan \| —SARs \| Tranche 2 \| Maximum
Share-based Compensation Arrangement by Share-based Payment Award
Vesting percentage			25.00%
Gates Industrial Corporation Plc 2018 Omnibus Incentive Plan \| —SARs \| Tranche 3 \| Minimum
Share-based Compensation Arrangement by Share-based Payment Award
Vesting percentage			33.00%
Gates Industrial Corporation Plc 2018 Omnibus Incentive Plan \| —SARs \| Tranche 3 \| Maximum
Share-based Compensation Arrangement by Share-based Payment Award
Vesting percentage			25.00%
Gates Industrial Corporation Plc 2018 Omnibus Incentive Plan \| —SARs \| Tranche 4 \| Maximum
Share-based Compensation Arrangement by Share-based Payment Award
Vesting percentage			25.00%
Gates Industrial Corporation Plc 2018 Omnibus Incentive Plan \| —PRSUs
Share-based Compensation Arrangement by Share-based Payment Award
Percentage of shares expected to vest upon achievement of average annual adjusted return on invested capital (percentage)	75.00%		75.00%		50.00%
Percentage of shares expected to vest upon achievement of certain relative shareholders return (percentage)	25.00%		25.00%		50.00%
Performance period			3 years
Gates Industrial Corporation Plc 2018 Omnibus Incentive Plan \| —PRSUs \| Minimum
Share-based Compensation Arrangement by Share-based Payment Award
Vesting period			1 year
Total number of shares expected to vest at term of award arrangement (percentage)			0.00%
Gates Industrial Corporation Plc 2018 Omnibus Incentive Plan \| —PRSUs \| Median
Share-based Compensation Arrangement by Share-based Payment Award
Vesting period			3 years
Gates Industrial Corporation Plc 2018 Omnibus Incentive Plan \| —PRSUs \| Maximum
Share-based Compensation Arrangement by Share-based Payment Award
Vesting period			4 years
Total number of shares expected to vest at term of award arrangement (percentage)			200.00%
Gates Industrial Corporation Plc 2018 Omnibus Incentive Plan \| —PRSUs \| Tranche 1
Share-based Compensation Arrangement by Share-based Payment Award
Vesting percentage			33.00%
Gates Industrial Corporation Plc 2018 Omnibus Incentive Plan \| —PRSUs \| Tranche 2
Share-based Compensation Arrangement by Share-based Payment Award
Vesting percentage			33.00%
Gates Industrial Corporation Plc 2018 Omnibus Incentive Plan \| —PRSUs \| Tranche 3
Share-based Compensation Arrangement by Share-based Payment Award
Vesting percentage			33.00%
Gates Industrial Corporation Plc 2018 Omnibus Incentive Plan \| —RSUs \| Minimum
Share-based Compensation Arrangement by Share-based Payment Award
Vesting period			1 year
Gates Industrial Corporation Plc 2018 Omnibus Incentive Plan \| —RSUs \| Median
Share-based Compensation Arrangement by Share-based Payment Award
Vesting period			3 years
Gates Industrial Corporation Plc 2018 Omnibus Incentive Plan \| —RSUs \| Maximum
Share-based Compensation Arrangement by Share-based Payment Award
Vesting period			4 years
Gates Industrial Corporation Plc 2018 Omnibus Incentive Plan \| —RSUs \| Tranche 1
Share-based Compensation Arrangement by Share-based Payment Award
Vesting percentage			33.00%
Gates Industrial Corporation Plc 2018 Omnibus Incentive Plan \| —RSUs \| Tranche 2
Share-based Compensation Arrangement by Share-based Payment Award
Vesting percentage			33.00%
Gates Industrial Corporation Plc 2018 Omnibus Incentive Plan \| —RSUs \| Tranche 3
Share-based Compensation Arrangement by Share-based Payment Award
Vesting percentage			33.00%
Gates Industrial Corporation Plc 2018 Omnibus Incentive Plan \| —Premium-priced options
Share-based Compensation Arrangement by Share-based Payment Award
Vesting period			3 years
Term of award			10 years
Gates Industrial Corporation Plc 2018 Omnibus Incentive Plan \| —Premium-priced options \| Tranche 1
Share-based Compensation Arrangement by Share-based Payment Award
Vesting percentage			33.00%
Gates Industrial Corporation Plc 2018 Omnibus Incentive Plan \| —Premium-priced options \| Tranche 2
Share-based Compensation Arrangement by Share-based Payment Award
Vesting percentage			33.00%
Gates Industrial Corporation Plc 2018 Omnibus Incentive Plan \| —Premium-priced options \| Tranche 3
Share-based Compensation Arrangement by Share-based Payment Award
Vesting percentage			33.00%