Boost Converter Output Voltage dependence
The answer depends on the operating mode of the converter.

In discontinuous conduction mode, which is what you usually have with a passive rectifier and light loads, the output voltage depends on the input voltage, the duty cycle and the load. With light (or no) loads, the voltage can rise arbitrarily high.

In continuous conduction mode &mdash; and assuming "ideal" components &mdash; the output voltage depends only on the input voltage and the duty cycle.

Continuous conduction mode means that current is always flowing in the inductor. This can be achieved with a passive rectifier if the load current is always above some minimum value. It can also be achieved if you use active (synchronous) rectification (a second switch) that allows current to flow in both directions.