Percentiles go from 0 to 100 Quartiles go from 1 to 4 (or 0 to 4, see comment) Quantiles can go from anything to anything. Percentiles and quartiles are examples of quantiles.
Percentiles go from $0$ to $100$.
Quartiles go from $1$ to $4$ (or $0$ to $4$).
Quantiles can go from anything to anything.
Percentiles and quartiles are examples of quantiles.