Final answer:
The problem involves calculating a product of sequential factors reducing the value from 100 by small fractions, which is related to understanding fractions, multiplication, and complements in probability.
Step-by-step explanation:
The value in question is a product of several factors subtracting small unit fractions from 1 and then multiplied by 100. This type of problem involves understanding of fractions, multiplication, and algebraic reasoning. Each factor in this product (1 - 1/n, for n=8, 9, ..., 20) reduces slightly the value from the previous one, overall leading to a cumulative product that is less than the original 100. It could be related to concepts such as the complement probability in statistical problems, which subtracts a certain probability from 1 to find the inverse probability.