flip on its head

Verb

turn on its head (third-person singular simple present turns on its head, present participle turning on its head, simple past and past participle turned on its head)

1. (idiomatic, transitive) To turn upside-down; to invert.
   • The crisis turned the formulas that had seemed to work on their head.
2. (idiomatic, transitive) To completely change.
   • The global economic crisis has managed to turn stock exchanges worldwide on their head.