The inflation burst was driven by money printing by the Federal Reserve/Government repeated by other governments world wide during the Covid pandemic, in order to prevent the financial system imploding as everybody defaulted on their debt. Attributing it to a "savings glut" - which I know is the mainstream interpretation is darkly hilarious.

Once that has happened, the hard part is predicting how long it will take the impact to bleed out of the system - i.e. the lags - and knowing that inflation is measured over a year, the answer is at least a year after the money supply stabilises.

Said money supply:

https://fred.stlouisfed.org/series/M2SL

btw. the way its currently contracting... that's bad. Really, really bad. They need to stop that quickly, before it does any more damage.