The first thing we are going to do in this case is find the total number of people.
We have then:
176 + 24 = 200
We now look for the percentage by means of the following rule of three:
200 -----> 100%
24 -------> x
We clear x:
x = (24/200) * (100)
x = 12%
Answer:
12% of the battalion's force is women