No exactly Alex. There are differing definitions; in its absolute sense free-float is ordinary shares available to be traded on a public market with no restrictions attached.
S&P use their own definition of free-float to asssit with calculating their weightings of indices. S&P will not include substantial holders, government holding and some others on the basis they are unlikely to contribute to liquidity.
So depending on what definition you choose depends on whether or not to call someone incorrect on the subject.