1. **State the problem:** We need to find the percentage increase in the population of Ireland from 2016 to 2022. 2. **Given data:** - Population in 2016: $4\,757\,976$ - Population in 2022: $5\,149\,139$ 3. **Formula for percentage increase:** $$\text{Percentage Increase} = \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \times 100$$ 4. **Calculate the increase in population:** $$5\,149\,139 - 4\,757\,976 = 391\,163$$ 5. **Substitute values into the formula:** $$\text{Percentage Increase} = \frac{391\,163}{4\,757\,976} \times 100$$ 6. **Simplify the fraction:** $$\frac{391\,163}{4\,757\,976} = \frac{\cancel{391\,163}}{\cancel{4\,757\,976}}$$ (no common factors to cancel, so fraction remains as is) 7. **Calculate the decimal value:** $$\frac{391\,163}{4\,757\,976} \approx 0.0822$$ 8. **Convert to percentage:** $$0.0822 \times 100 = 8.22\%$$ 9. **Round to three significant figures:** $$8.22\%$$ **Final answer:** The population increased by approximately **8.22%** between 2016 and 2022.