Maytag dishwasher The dishwasher does not fill with water at all even though the detergent dispenser opens which seems to say the cycles are being activated. The inside of dishwasher door has detergent spattered on it. Any ideas?

Hello,
Theres a Floater inside the tub protecting against overflow. when it is pushed up or stuck by debris, and does not fall down to its inactive position, it can prevent water from filling. So be sure there is no debris and move the floater up and down until it falls down in its normal position.

Also dishwashers can lose their pump prime and will not fill with water if there is no priming water in the bottom of the unit. To solve this problem, you must add several quarts of water to the unit. Let it settle down in the bottom until it stops going down. Start the washer and you will hear this water pump out of the drain and the unit will now fill with fresh water..

Thank you..Regards!!..

Http://www.acmehowto.com/howto/appliance/dishwasher/diagnose-dishwasher.php

here is the link see

If there's no water entering your dishwasher, check these:
Water-inlet valve
Float switch

Water-inlet valve
The water-inlet valve lets water enter the machine. If this valve is defective, you need to completely replace it. It's usually located behind the lower access panel on the left or right side. It's the device with the main water line (usually copper) from the house, a rubber tube to the dishwasher, and two wires attached to it.

Float switch
The float switch is a small electrical switch that's located right below the dishwasher "floor." Above the switch, on the inside of the dishwasher, is a plastic cylinder that floats up as water fills the dishwasher. If this switch is defective, or if the plastic float gets caught or trapped in the raised position, the water can't enter the dishwasher. If the float switch is defective, you need to replace it.