Cheapest way to ship an item internationally?

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I need to ship an iPhone to a buyer on Sythe from the US to Australia. I'm unsure of what company to go through. I went on UPS's website and they quoted me 86$ which I'm pretty sure is inaccurate (I must have done something wrong). Anyone have experience with this sort of thing?

 

[BaYBeeZ]

Were you able to input how much the package would weigh?

Furthest I've ever shipped something was from Missouri to New Jersey. I used U.S. Postal Service however and the cost was $8 (with insurance) for 1.5 pounds.

 

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I mentioned it was an iPhone, which weights around 8 oz. I ended up going with USPS which cost around 5$.