Analyzing Employee Attendance Data

This question requires us to compare the attendance figures for specific offices on specific weekdays. We need to find the number of employees present in Office A on Wednesday and the number of employees present in Office D on Friday. Then, we will calculate what percentage the first number is of the second number.

Attendance Data Table

First, let's look at the provided table which shows the number of employees present in five offices (A, B, C, D, E) across five weekdays (Monday to Friday).

Extracting Attendance Figures

From the table, we identify the required attendance numbers:

• Number of employees present in Office A on Wednesday is 115.
• Number of employees present in Office D on Friday is 160.

Calculating the Percentage

We need to find what percentage 115 is of 160. The formula for percentage is:

$$ \text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100 $$

In this case:

• Part = Number of employees in Office A on Wednesday = 115
• Whole = Number of employees in Office D on Friday = 160

So, the calculation is:

$$ \text{Percentage} = \left( \frac{115}{160} \right) \times 100 $$

Step-by-step Calculation:

1. Simplify the fraction \( \frac{115}{160} \). Both numbers are divisible by 5. $$ \frac{115 \div 5}{160 \div 5} = \frac{23}{32} $$
2. Now, multiply the simplified fraction by 100 to get the percentage: $$ \text{Percentage} = \frac{23}{32} \times 100 $$
3. Calculate the value: $$ \text{Percentage} = \frac{2300}{32} $$
4. Divide 2300 by 32: $$ \frac{2300}{32} = \frac{1150}{16} = \frac{575}{8} $$
5. Convert the improper fraction \( \frac{575}{8} \) to a mixed number: Divide 575 by 8: \( 575 \div 8 = 71 \) with a remainder of \( 7 \). So, \( \frac{575}{8} = 71 \frac{7}{8} \).

Therefore, the number of employees present in Office A on Wednesday is \( 71 \frac{7}{8} \% \) of the number of employees present in Office D on Friday.