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Calculate percentage of symmetry of a given matrix

Is it possible to calculate a percentage that quantifies how symmetric a given matrix is?

For example, even if a given matrix is not symmetric, instead of just classifying it as "not symmetric", one can say that it's "$80\%$ symmetric".

My overall goal is to get a kind of a "symmetry score" adding up values of different kinds of symmetry (e.g., translational, rotational). I appreciate any help. Thanks!