What percent of the Roman Republic's population were citizens in various centuries?

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I found two estimations about the number of slaves for the 2nd and 1st centuries BC.

P. Brunt [1] estimates there were 3 000 000 slaves in a total population of 7 500 000 people.
J.C. Dumont [2] estimates that at least 32% of the population was in slavery.

From these numbers, we deduce that roughly 60% of the population were free. Halve this proportion to exclude women, further exclude children, and the proportion drops to 20-25% of free men (I have no precise idea for the proportion of children). Not all of them were citizens, but at least we have an upper bound.

[1]: Italian Manpower, 225 BC -- AD 14, Oxford, 1971

[2]: Servus. Rome et l'esclavage sous la République, Rome - Paris, 1987

Boson 146

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Source: stackoverflow.com

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What percent of the Roman Republic's population were citizens in various centuries?

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