Considering they have to get the rate up to if not above inflation..they better get a move on or they will never catch up
But they don't.
It needs to get just high enough to:
1. Destroy the wealth effect of a hyper-inflated stock market.
2. Destroy the wealth effect of a hyper-inflated housing market.
3. Loosen you a tight labor market with a recession and job loss.
4. Create income insecurity with a recession and job losses to cool spending.
5. Loosen you a tight commodities market with a recession and economic slow down.
They won't have to raise rates nearly as high as the inflation rate to let these second order effects do the rest of the work for them, thus saving the national debt carrying costs from becoming unserviceable.
[Edit] And some of the inflation truly was temporary and stimulus money will continue to burn off on its own. Some supply chain issues will unscrew themselves.