As others have said, it's a game of tracing the power. I start at the positive terminal and find where the wire(s) from that terminal go, then see if I have voltage to the ends (starter, fuse panel, power distribution block, etc.).
Let's say I have voltage to the various ends of the positive wire(s), I move to the next segment(s) of wiring and do the same, making my way to the starter and to the ignition switch.
You must keep in mind that having voltage to any point only confirms a connection, not capacity. What I mean by that is voltage is the "pressure" of the wire. A smaller wire, or a severely corroded wire/connection, may have the expected voltage on it until you put a load on it, like trying to start the engine, or even turning the key on. At that point, a wire/connection with this corrosion problem will measure low or no volts because everything that can get through the upstream connection, the current, amps, are being used in the wiring and nothing gets to the load (indicator lights, starter, etc) that is down stream.
All that is to say that once you have traced the voltage along the wires to where it should go, that does not mean things will operate and more diagnosis work may be needed.
One thing I have seen is battery cable connections develop enough corrosion to have the problem described above. It has voltage at the starter, but when the ignition is turned on, of put in the Start position, all voltage goes to zero. This can also be caused by high internal resistance in the battery, a bad battery, yet when you turn off the key, or move from the start position, all voltage looks good again.
While the battery is more complicated to measure, along the wiring, through the connections, you can measure resistance to find poor connections or wires. You should have less than 1 ohm throughout the system, between wires/connections, as long as they are not going through a load, such as a bulb, starter, computer, etc.
Make sure you have low resistance <1 ohm on the positive and negative connections between the battery terminal (not the cable ends) and the engine/starter/power dist block. You'll connect the meter leads to the engine block and the actual battery terminal, then the battery terminal and the, in this case, starter stud, for measurement.
The ignition switch is also a prime suspect, as the contact can get corroded inside. The switch on my ZD25 zero turn is getting finicky and needs to be replaced/repaired now. I have to wiggle the key just right to get the starter to engage. I'm going to look at this as an anti-theft device until I get around to fixing it. See if the you voltage and low resistance to yours.
Also keep in mind you can jump around to various places in the wiring if you KNOW you are supposed to have voltage at a given point, like the ignition switch. If you aren't getting voltage there, then you have made your search area smaller.
Also, when checking, check from terminal to terminal first, as that will also check through the wire's connection to the terminal at the same time.
Please forgive if any of this seems remedial, I don't know what your knowledge is on this sort of thing.
Chris