That is not the definition of either item.
Definitions of watt on the Web:
a unit of power equal to 1 joule per second;
jouleThe watt (symbol: W) is the SI derived unit of power, equal to one joule of energy per second. It measures a rate of energy conversion.
Definition
Metric (SI) unit of work and energy. (1) As a unit or work, it is defined as the work done by a force of one newton acting on an object to move it through a distance of one meter in the direction the force is applied. One joule per second equals 1 watt
In passing, it is one of the merits of SI that conversion factors are not required for many basic units.
One Watt is one Volt times one Amp.
One Watt is one Newton though one metre in one second.
One Joule is one Watt for one second.
That covers some of the fundamental units of power and energy.
I'm old enough to be able to do calculations in both Imperial and SI.
And I'm pragmatic enough to embrace the merits of the latter.