You need to check the line that is responsible for discharging the water. You really want to hope that there is just some debris in there that is clogging it. take a hanger or something and clean it out. Make sure you have disconnected it from both ends before snaking it. You don't want to push the debris into either the dishwasher or disposal. If it is the pump...hire a professional!
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I think I am a
handyman, but don't ask my wife!