Small Engines (Lawn Mowers, etc.): Honda Riding Mower Solenoid, battery cables, cable ends

Question
I have a Honda Harmony Riding Mower H1011S. I believe the solenoid needs replaced. The battery is fully charged but when the key is turned I only get a quite hum. I disconnected the starter and can still hear the hum. This tells me it is probably the solenoid. Problem is I can not locate the solenoid on the mower. Can you help?

Answer
Easiest method I've found is to follow the positive battery cable from the battery to the solenoid.  Which model do you have?  Some Honda's have a relay to activate the solenoid.  

TIP:  Dis-connect the battery cables and clean the battery terminal posts and cable ends with a wirebrush.  Even though there may be no signs of corrosion I have fixed a lot of problems by just cleaning the connections.

Eric