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Research and Development Tax Incentive (Details) - Australian Taxation Office $ in Millions, $ in Millions	3 Months Ended
	Mar. 31, 2022 USD ($)	Mar. 31, 2022 AUD ($)	Mar. 31, 2021 USD ($)	Mar. 31, 2021 AUD ($)	Mar. 31, 2022 AUD ($)	Dec. 31, 2021 USD ($)	Dec. 31, 2021 AUD ($)
Reduction to research and development expenses	$ 0.0	$ 0.0	$ 0.8	$ 1.0
Research And Development Cash Tax Incentive Receivable	$ 2.9				$ 3.8	$ 2.8	$ 3.8

X

- Definition

The amount of research and development cash tax incentive receivable.

+ References

No definition available.

+ Details

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X

- Definition

The amount of reduction of research and development expense in connection with the research and development tax incentive.

+ References

No definition available.

+ Details

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Namespace Prefix:	ptgx_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

X

- Details

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Namespace Prefix:
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Balance Type:
Period Type: