To identify a transformer winding with multiple taps, one can measure the resistance between the common tap and each individual tap, as higher resistance indicates more turns in the winding. Feeding a known voltage into the thicker secondary winding can provide insight into the expected primary voltage outputs, helping to estimate the transformer's purpose. If the transformer is unmarked, applying a low voltage can reveal the expected voltages at the primary taps. It's important to note that transformer design typically involves winding the primary first, and safety precautions should be taken when working with high voltages. Careful resistance measurements can effectively determine the sequence and characteristics of the taps.