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How can I find out what percentage the publicly traded shares (float) are of the total company?
I think you're looking for the public float: Public float or the unqualified term may also refer to the number of   outstanding shares in the hands of public investors as opposed to   company officers, directors, or controlling-interest investors.   Assuming the insider held shares are not traded, these shares are the   publicly traded ones. The float is calculated by subtracting   restricted shares from outstanding shares. As mentioned, Treasury stock is probably the most narrow definition of restricted stock (not publicly traded), but shares held by corporate officers or majority investors are often included in the definition as well. In any case, the balance sheet is indeed a good place to start.