Try it this way:
-1 (or 1 BCE) is immediately followed by 1 CE. Thus, the first century of the Common Era began on the first day of the year 1. When year 2 starts, only one year has elapsed - at the beginning of 2, the century is 1 year old. At the beginning of year 3, the century is 2 years old, at the beginning of year 4, the century is 3 years old and so forth. Following on, at the first day of year 100, the century is 99 years old.
It works for every century, so at the beginning of 2016, the century is 15 years old.
No one's mad at you, luv.
Boru
-1 (or 1 BCE) is immediately followed by 1 CE. Thus, the first century of the Common Era began on the first day of the year 1. When year 2 starts, only one year has elapsed - at the beginning of 2, the century is 1 year old. At the beginning of year 3, the century is 2 years old, at the beginning of year 4, the century is 3 years old and so forth. Following on, at the first day of year 100, the century is 99 years old.
It works for every century, so at the beginning of 2016, the century is 15 years old.
No one's mad at you, luv.

Boru
‘I can’t be having with this.’ - Esmeralda Weatherwax