In certain company, 55% of the employees are male, 64% of the female employees and 58% of the male employees receive year end raises.
Q. What percent of the employees who receive raises are female.
(Ignore the percent symbol when entering your answer. For answer, if the asnwer is 42.1% enter 42.1).

Answer

To solve the problem step by step, let's break it down:

### Step 1: Determine the number of male and female employees
Given that 55% of the employees are male, we can calculate the number of male and female employees based on a total of 100 employees.

- **Number of male employees**:
\[ \text{Male employees} = 55\% \text{ of } 100 = 55 \]

- **Number of female employees**:
\[ \text{Female employees} = 100 - 55 = 45 \]

### Step 2: Calculate the number of female employees who receive raises
We know that 64% of the female employees receive year-end raises. Thus, we can calculate the number of female employees who receive raises.

- **Number of female employees who receive raises**:
\[ \text{Female raises} = 64\% \text{ of } 45 = \frac{64}{100} \times 45 = 28.8 \]

### Step 3: Calculate the number of male employees who receive raises
Similarly, we know that 58% of the male employees receive raises. We can calculate the number of male employees who receive raises.

- **Number of male employees who receive raises**:
\[ \text{Male raises} = 58\% \text{ of } 55 = \frac{58}{100} \times 55 = 31.9 \]

### Step 4: Calculate the total number of employees who receive raises
Now, we can find the total number of employees who receive raises by adding the number of male and female employees who receive raises.

- **Total employees who receive raises**:
\[ \text{Total raises} = \text{Female raises} + \text{Male raises} = 28.8 + 31.9 = 60.7 \]

### Step 5: Calculate the percentage of employees who receive raises that are female
Finally, we need to find the percentage of employees who receive raises that are female. We can use the formula for percentage:

\[ \text{Percentage of female raises} = \left( \frac{\text{Female raises}}{\text{Total raises}} \right) \times 100 \]

Substituting the values we calculated:

\[ \text{Percentage of female raises} = \left( \frac{28.8}{60.7} \right) \times 100 \approx 47.4 \]

### Final Answer
The percentage of employees who receive raises that are female is **47.4**.

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