How does the size of the atomic nucleus compare to the size of the atom?

We have two examples: the first is, if the Atom is the size of a New York baseball stadium, then the nucleus is the size of a flea perched on the pitcher's mound; and next, if the atom is one mile [1.6 km] across the atomic nucleus would be two-thirds of an inch [< 2 cm] in diameter. From this we can state that the Atom is 99.9999 % empty space.