curiouscat,
In Quantitative Analysis, 4th ed., 1958, Pierce, Haenisch, and Sawyer (page 101) list five physical methods of specifying the concentration of a solution:
1. grams of solute per liter (or 100 mL) of solution
2. grams of solute per liter (or 100 mL) of solvent
3. grams of solute per mass of solution (often 100 or 1000 grams)
4. grams of solute per unit mass of solvent
5. Percentage methods. The concentration of solutions is frequently stated in percentage, particularly when only an approximate value is indicated. Unless further defined, the term might mean either the weight [mass] or volume of solute per 100 g or 100 mL of solution or of solvent, but by general usage the term has come to mean the weight [mass] of solid or the volume of liquid in 100 mL of the final solution. Thus, a 10 percent salt solution contains 10 g salt per 100 mL solution, and a 10 per cent alcohol solution contains 10 mL liquid alcohol per 100 mL solution.
Beginning with this quote, I wrote up a handout to give students on this general subject, because it is often an area of confusion.