Directions: Read the following details carefully and answer the question that follows.

There are two logistics centers, namely Facility A and Facility B. The number of day-shift workers in Facility A is 320, and the number of day-shift workers in Facility B is equal to the number of night-shift workers in Facility A. The total number of day-shift workers across both logistics centers is 500, and the number of night-shift workers in Facility B is double that of the night-shift workers in Facility A.

The number of night-shift workers in Facility B is what percentage of the day-shift workers in the same facility?

The correct answer is 200%.

Step-by-step explanation:

Step 1: Find the number of day-shift workers in Facility B.
Given that the number of day-shift workers in Facility A = 320.
The total number of day-shift workers across both facilities (Facility A + Facility B) = 500.
Therefore, the number of day-shift workers in Facility B is:

$\text{Day-shift workers in Facility B}=500-320=180$

Step 2: Find the number of night-shift workers in Facility A.
It is given that the number of day-shift workers in Facility B is equal to the number of night-shift workers in Facility A.
Therefore, the number of night-shift workers in Facility A = 180.

Step 3: Find the number of night-shift workers in Facility B.
It is given that the number of night-shift workers in Facility B is double that of the night-shift workers in Facility A.
Therefore, the number of night-shift workers in Facility B is:

$\text{Night-shift workers in Facility B}=2\times 180=360$

Step 4: Calculate the required percentage.
We need to find what percentage the number of night-shift workers in Facility B is of the day-shift workers in Facility B.
The percentage formula is:

$\text{Percentage}=\left(\frac{\text{Night-shift workers in Facility B}}{\text{Day-shift workers in Facility B}}\right)\times 100$

Substituting the known values into the formula:

$\text{Percentage}=\left(\frac{360}{180}\right)\times 100=2\times 100=200\%$

Thus, the number of night-shift workers in Facility B is 200% of the day-shift workers in the same facility.