General principle for transfers
Any transfer of personal data which are undergoing processing or are intended for processing after transfer to a third country or to an international organisation shall take place only if, subject to the other provisions of this Regulation, the conditions laid down in this Chapter are complied with by the controller and processor, including for onward transfers of personal data from the third country or an international organisation to another third country or to another international organisation. All provisions in this Chapter shall be applied in order to ensure that the level of protection of natural persons guaranteed by this Regulation is not undermined.
Important note about UK GDPR recitals
Recitals to the GDPR are saved into UK domestic law and apply to the interpretation of the UK GDPR. However, they have not been amended upon saving. This may mean that some recitals are no longer relevant if the corresponding provisions have not been retained in UK domestic law. (Tell me more.)