Yes, but only if it's an older note.
$20.00
The value is more dependent on the year (series) of the bill. The serial number by itself isn't enough information.
Ten Dollars
It's worth exactly 10 dollars.
The serial number alone isn't enough to assign value, but rather the series year and the condition. Without more information, it's assumed to be worth one dollar.
It is not worth anything
$1.00
Nothing.
twenty dollars
Nothing as of yet!
$20.00
10 dollars
The percentage of a partial bill really has little to do with its value. Any bill is worth its face value if it contains a complete serial number and any part of the other serial number.
Assuming the 666 is part of the eight-digit serial number, it's worth one dollar.
It's worth $50.
It's still worth $2 in Canada.
The value is more dependent on the year (series) of the bill. The serial number by itself isn't enough information.