Step 1: Assume Total Population

Let the total population of the country be $100$.

$\text{Total}\ \text{Population} = 100$

Step 2: Calculate Number of Males and Females

Since $55\%$ of the population are females, the number of females is $55$ and the number of males is $100 - 55 = 45$.

$\text{Females} = 55,\ \text{Males} = 45$

Step 3: Calculate Total Literate Population

The total literacy rate is given as $58\%$, so the total number of literate people out of $100$ is $58$.

$\text{Total}\ \text{Literate} = 58$

Step 4: Calculate Number of Literate Males

Given that $80\%$ of the male population is literate: Literate males = $45 \times \frac{80}{100} = 36$.

$\text{Literate}\ \text{Males} = 45 \times 0.80 = 36$

Step 5: Calculate Number and Percentage of Literate Females

Literate females = Total literate - Literate males = $58 - 36 = 22$. Percentage of literate females = $\frac{22}{55} \times 100\% = 40\%$.

$\text{Percentage} = \frac{22}{55} \times 100 = 40\%$