From Rough Substruction

Key = [Device] : [Target] [Operator] [Domain]

Whole

Literal: X is X, e.g, God is God

Idiom: X in Y, e.g., Hand in Glove

Simile: X like Y, e.g., Hands like Shovels

Metaphor: X is Y, e.g., World is a Stage

Parts

Synecdote: Xi on Y, e.g., Hands on Deck

Catachresis: Xi of Y, e.g., Foot of Mountain

In sum, it is the operator (verb or preposition in these cases) that often determines the type of device.