Most Scag electric start machines have a cranking circuit relay which is usually located close to the key switch. This relay, when all the safety circuits are in line for engine cranking, is grounded by the electronic control module which then sends electricity to the start solenoid which will send high amperage to the starter motor which when it turns will spin the bendix gear (starting gear) out to engage and turn the flywheel.
This relay can sometimes be problematic I have replaced this relay on several machines, mine included.
On an engine with a solenoid/starter motor combination, the solenoid has a dual purpose as it is a switch for the high amperage to the starter(similar to the remote solenoid) and an electromagnet to move the starting gear to engage the flywheel, however still initiated by the cranking circuit relay.
Mad Mackie in CT