Understanding the University Employee Data

The question requires us to calculate the percentage by which the number of female employees in University F is greater than the number of transgender employees in University A. We will use the data provided in the table showing the distribution of employees across different universities and categories.

Analyzing the Specific University Data

From the given table, we extract the relevant information for Universities A and F:

• University A:
  • Total Number of Employees: 2400
  • Percentage of Transgenders: 12.5%
• University F:
  • Total Number of Employees: 1360
  • Percentage of Females: 40%

Calculating the Number of Employees in Each Category

To find the exact number of employees for each required category, we multiply the total number of employees in the respective university by the given percentage and divide by 100.

Number of Transgenders in University A

Total employees in University A = 2400

Percentage of Transgenders in University A = 12.5%

Number of Transgenders in University A $= 2400 \times \frac{12.5}{100}$

We know that $12.5\% = \frac{1}{8}$ as a fraction. So,

Number of Transgenders in University A $= 2400 \times \frac{1}{8} = 300$

Thus, there are 300 transgender employees in University A.

Number of Females in University F

Total employees in University F = 1360

Percentage of Females in University F = 40%

Number of Females in University F $= 1360 \times \frac{40}{100}$

Number of Females in University F $= 1360 \times 0.4 = 544$

Thus, there are 544 female employees in University F.

Calculating the Percentage More

We need to find the percentage by which the number of females in University F (544) is more than the number of transgenders in University A (300). The base value for this comparison is the number of transgenders in University A (300).

Finding the Difference

The difference between the number of females in University F and the number of transgenders in University A is:

Difference $= \text{Number of Females in F} - \text{Number of Transgenders in A}$

Difference $= 544 - 300 = 244$

Calculating the Percentage Increase

The percentage increase is calculated as:

Percentage More $= \frac{\text{Difference}}{\text{Base Value}} \times 100$

Percentage More $= \frac{244}{300} \times 100$

Percentage More $= \frac{244}{3}$

To express this as a mixed number, we divide 244 by 3:

$244 \div 3 = 81$ with a remainder of $1$.

So, $\frac{244}{3} = 81 \frac{1}{3}$.

The number of females working in university F is $81 \frac{1}{3} \%$ more than the number of transgenders working in the University A.

Step-by-Step Calculation Overview

1. Calculate the number of transgenders in University A: $2400 \times 12.5\% = 300$.
2. Calculate the number of females in University F: $1360 \times 40\% = 544$.
3. Find the difference: $544 - 300 = 244$.
4. Calculate the percentage increase relative to the number of transgenders in A: $\frac{244}{300} \times 100 = \frac{244}{3}$.
5. Convert the fraction to a mixed number: $\frac{244}{3} = 81 \frac{1}{3} \%$.

Revision Table: Key Calculations and Terms

Additional Information: Working with Percentages

Understanding how to quickly work with common percentages is helpful for efficiency. For instance, $12.5\%$ is equivalent to $1/8$. This makes calculations like $2400 \times 12.5\%$ simpler as $2400 \times 1/8$.

When calculating a percentage increase from value B to value A (where A > B), the formula is always based on the original value B:

Percentage Increase $= \frac{\text{New Value} - \text{Original Value}}{\text{Original Value}} \times 100$

In this problem, the 'Original Value' is the number of transgenders in University A, and the 'New Value' is the number of females in University F for comparison purposes.