"Wild" was penned by the songwriter Claude Kelly. The song features two rappers, Big Sean and Dizzee Rascal. This was produced by American musician Ammo, who is signed to Dr. Luke's publishing company Prescription Songs as a producer and songwriter. Jessie J told Capital London that she wanted someone "really British" and "really American" in terms of guests. "We wrote the song and I actually had a middle eight," she explained, "and I said to Claude Kelly, who's the executive producer on this album, 'I feel like this should have a rapper on it' and I was like 'how about two?'". The song is in the key of B minor.