inside out vs wrong side out

inside out

adv
  • With the inside surface turned to be on the outside. 

  • Thoroughly; extremely well. 

  • Describes the hitting of a ball that pitched outside of leg stump to the off side of the field. 

  • Completely; through and through; to the core. 

wrong side out

adv
  • Of a garment, etc, having its inner or hidden side on the outside and vice versa. 

  • Reversed, changed diametrically, by analogy with a garment that is wrong side out. 

How often have the words inside out and wrong side out occurred in a corpus of books? (source: Google Ngram Viewer )