Across 49 training trials protein supplements bought 0.30 kg of fat-free mass. Above roughly 1.62 g per kg a day the curve flattens; 16 weeks at double that added nothing.
In about 80% of the pooled trials people were already eating at least 1.2 g per kg a day, so this measures going from enough to more, not from too little to enough. The 1.62 figure comes with a range running from 1.03 to 2.20, wide enough to be a region rather than a line. Most trials ran six to twelve weeks. Effects shrank with age and were larger in people already training.