The population of a country increases by 2% every year in the 20th century. What is

\[ \left \lfloor \frac { \text{Population at the end of the 20th century} } { \text{ Population at the start of the 20th century} } \right \rfloor = \ ? \]

**Notation:** \(\lfloor \cdot \rfloor\) denotes the floor function.

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