I wear about a 7 3/8 hat and I can get three full stacked fingers in between the band and my head. My guess is the size of these hats is about an 8 1/2. Way too big.

Later. I bought four more after returning several, thinking on each order the problem had been corrected. It had not. I took my four XX large hats to a good seamstress who did an excellent job of resizing the hats to about 7 3/8. Here in American Samoa it cost me $4 per hat.

Nice hats, but beware. They are all too big. "One size fits none" should be the moniker.