A "percentage" is just a fancy way to write a fraction over 100.

Comes from the Latin "per centum", meaning "for every hundred"

25% is the same as 25/100 (which happens to be the same as 1/4)

17% is the same as 17/100

400% is the same as 400/100 (which is equal to 4)

and so on.

The total number of chefs is 240

The number of women is 40

The fraction of chefs that are women is

40/240

clean it up a bit (reduce the fraction)

40/240 = 4/24 = 1/6

Next, you must transform this fraction into another fraction of equal value, but with "100" as a denominator (bottom).

You can do what by multiplying it by "1", written as a fraction of something over itself.

1 = 2/2 = 3/3 = 17.2/17.2 = ...

You presently have 6 on the bottom, and you want to multiply it by something to get 100

100/6 = 16.6666666...

You will use 1 = 16.6666666.../16.6666666...

Multiply (above and below) by 16.6666666...

and you get:

(1/6)

(1/6) * 1 (multiplying by 1 does not change the value)

(1/6) * (16.666666.../16.666666...)

(1 * 16.666666...) / (6 * 16.666666...)

16.666666... / 100

Now that we have our "fraction over 100", then the numerator (top) is our "percentage".

16.66666...%

Most people would simply call it 16.67%