Headline inflation, like every other headline number, is an indicator. Not a useful metric that people are going to go to the store and expect everything to cost 6.4% more. They calculate it in a consistent way so we have fixed milestone to measure against. The Fed has a limited set of tools and they can only act on aggregate demand and lending. When it comes to specific outliers (like rent) you need legislation.

https://www.pbs.org/newshour/show/white-house-outlines-plan-...