Geo422: Is this a built in micro (under cabinet) or a kitchen counter top micro?
If you checked ALL!!! GFCIs in the house and tested them and they all work then not a GFCI issue.
If this is a built in micro then it should be a dedicated circuit meaning no other receptacle on this circuit just the one receptacle for micro.
If you checked all the breakers carefully and none are tripped then are you sure you do not have another breaker panel in the house somewhere? I've had several calls and the home owner did not even know they had another breaker panel in the house.
If you checked all breakers and none are tripped and you do not have another breaker panel in the house you now have to take a meter and measure voltage on each breaker in the panel. Take one probe to the hot screw on the breaker and the other to the neutral or ground bar. Do this on all single pole breakers. Each one should read 120volts or there abouts.
Worthflorida post #11 is asking to check a receptacle prior to this receptacle. Are there any other receptacles that do not have power? If there are it could be a receptacle upstream of this one.
As mentioned if you changed out this receptacle without shutting off a breaker then there is no power going to this receptacle as more than likely if there was power going to it you would have sparked out (dead short) or got a bit of a shock swapping out the receptacle.
One more time, double check all GFCIs in the house and test them all. Press the test button and then the reset button. If one of them does not react (you don't hear a click) then there is an issue with the GFCI.
If no breaker is tripped, no GFCI tripped and no other receptacles are dead on this circuit your next step should be to look for a junction box somewhere maybe in the basement that feeds this receptacle.
But I would highly suggest you double check all the breakers in any panel in the house to be sure none are tripped, double check all GFCIs, make sure no other receptacles are dead, check for a junction box prior to this receptacle, measure voltage on all breakers since they are not marked, another breaker panel in the house. If there is a tripped breaker or GFCI or above suggestions going in another direction will do nothing other than be "a cat chasing it's tail"