The ampere, like the ohm, volt, coulomb and other metric units, was named for a physicist who contributed to humanity's understanding of electricity. In the early 19th century, André-Marie Ampère explored the relationship between electromagnetism and electric current, and in his honor the metric unit used to measure current is called the ampere, or amp for short. You can easily convert amps to electrons per second with a light mathematical equation.
Express the current in amperes as coulombs per second. One ampere represents a flow of one coulomb of electrical charge per second.
Divide 1 coulomb by the charge of a single electron to get the number of electrons in a coulomb of charge. An electron has a charge of 1.60 x 10^-19 coulombs, so it takes 6.25 x 10^18 electrons to make up 1 coulomb of charge.
Multiply the current in coulombs per second by 6.25 x 10^18 electrons per coulomb. The result is the number of electrons per second in the current.
TL;DR (Too Long; Didn't Read)
Once you know that there are 6.25 x 10^18 electrons per coulomb, you can convert amps to electrons-per-second with a single calculation: Just multiply by 6.25 x 10^18.