Generally the benchmark for AGI has been "human level intelligence" meaning that from there on AI is also the best AI researcher and human input is no longer needed in developing it. That's where the concept of singularity or intelligence explosion stems from.
The narrative here tends to be that it goes from AGI to ASI (Artificial Super Intelligence) very rapidly but in my view there's not a significant difference between the two. AI that is as intelligent as a human but not more would still process information about a million times faster so effectively it would still be superintelligent.