Explanation:

- The HR department has 110 employees, which is 25% of the total. So, the total number of employees in the company is 440 (since 110 / 0.25 = 440).

- In the Finance department, $\frac{2}{11}$ of 440 employees are working. This totals 80 employees (since 440 * 2/11 = 80).

- Employees in the Sales department are 25% more than those in Finance. Therefore, Sales has 100 employees (80 + 0.25 * 80 = 100).

- The Housing and Security departments have a 3:7 ratio. Letting x be the multiplier for this ratio, then housing has 3x employees and security 7x.

- Solving for x:

- Total employees calculation: 110 (HR) + 80 (Finance) + 100 (Sales) = 290

- Remaining (for Housing and Security): 440 - 290 = 150

- From the ratio, 3x + 7x = 150, so x = 15

- Therefore, Housing = 45 (3 * 15) and Security = 105 (7 * 15).

- To find how much more the Finance department is than Housing:

- Finance has 80 employees and Housing has 45 employees.

- Percentage increase is calculated by:

$$

\left( \frac{{80 - 45}}{45} \right) \times 100 \approx 77.77\%

$$

Option: 1 - 77.77%

.