Most likely the water is coming out due to broken seals in the pump.
You can replace the seals on the old pump or replace the whole pump & motor assembly.
In both cases the dishwasher has to be removed from the cabinet.
- The part number for the impeller and seal kit is
AP631386
- The part number for the pump & motor assembly is
AP2616850
Both parts are coming with the installation instructions.
Here are the break down diagrams for the Hotpoint dishwasher
Model HDA100X-66WH
Gene.