Any non-stop from YVR/LAX/SFO to SYD (or even BNE) will not be cheap. The cheaper flights go through NRT/HKG/BKK/SIN or some random chinese/taiwanese city in between before finally arriving in PER (or really anywhere in Australia).
Also look into an around-the-world ticket. They can be good value, depending on where you end up stopping, and avoid the need to backtrack.
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