The fact is the Australian government spends in the ballpark of $2 for ever $1 of benefit handed out; whether it's $1.80 or $2.20 doesn't really matter -- it puts some actual figures behind the concept of simply giving out a basic income (versus trying to figure out who gets the benefit, means testing it, and so forth).
Australia's unemployment rate hasn't changed much over the period 2009-2014 (it was shielded from the great recession by commodity prices).
"In 2010-11, Australian Government and state and territory government welfare spending was estimated at $119.4 billion - $90 billion (75%) was in cash payments (including unemployment benefits) and $29.4 billion (25%) was for welfare services."
So to make your case you'd need to dig up figures about how much the administrative overhead related to the cash benefits is.