scratch your head

scratch (one's) head

To show that one is puzzled, doubtful, or uncertain; to show that one has trouble understanding something. Literally scratching one's head can indicate the same thing. His decision to pull the plug on the lucrative program has everyone scratching their heads.See also: head, scratch

scratch your head

1 think hard in order to find a solution to something. 2 feel or express bewilderment. informalSee also: head, scratch

scratch your ˈhead (over something)

think hard in order to find an answer to something: We’re all scratching our heads for a solution to this problem.See also: head, scratch