The interest rate and inflation rate are related. But there is no magic saying that inflation only comes down when the interest rate is above the inflation rate.

There are many contributing factors to current inflation. Energy, the war in Ukraine, the m2 supply. If you were to overnight fix the supply chain issues we would see inflation drop. Part of inflation is too much money chasing too few goods. If magically you doubled the number of goods available ( real productivity increase) then inflation would subside somewhat.

I wish people would stop saying that rates needed to go above inflation. You have to account for the debt to gdp ratio. If you have twice as much debt as a percent each rate hike is twice as effective.