Australia won the Perth test against England by an innings and 41 runs after it had lost the toss and batted second in the test. Australia’s effort provide the tenth occasion of winning a test by an innings margin against England after it had lost the toss and batted second in the test. All such occasions are listed below.

No	Team	Result	Margin	Toss	Bat	Opposition	Ground	Start Date
1	Australia	won	inns & 149 runs	lost	2nd	v England	The Oval	14 Aug 1948
2	Australia	won	inns & 099 runs	lost	2nd	v England	Melbourne	26 Dec 2006
3	Australia	won	inns & 080 runs	lost	2nd	v England	Leeds	07 Aug 2009
4	Australia	won	inns & 051 runs	lost	2nd	v England	Adelaide	21 Nov 2002
5	Australia	won	inns & 048 runs	lost	2nd	v England	Perth	29 Nov 2002
6	Australia	won	inns & 041 runs	lost	2nd	v England	Perth	14 Dec 2017
7	Australia	won	inns & 039 runs	lost	2nd	v England	The Oval	16 Aug 1930
8	Australia	won	inns & 033 runs	lost	2nd	v England	Sydney	13 Dec 1946
9	Australia	won	inns & 013 runs	lost	2nd	v England	Sydney	05 Jan 1951
10	Australia	won	inns & 009 runs	lost	2nd	v England	Adelaide	28 Jan 1966

Australia’s effort provides the seventh occasion against England at home after it had lost the toss and batted second in a test. All the seven occasions are listed below

No	Team	Result	Margin	Toss	Bat	Opposition	Ground	Start Date
1	Australia	won	inns & 099 runs	lost	2nd	v England	Melbourne	26 Dec 2006
2	Australia	won	inns & 051 runs	lost	2nd	v England	Adelaide	21 Nov 2002
3	Australia	won	inns & 048 runs	lost	2nd	v England	Perth	29 Nov 2002
4	Australia	won	inns & 041 runs	lost	2nd	v England	Perth	14 Dec 2017
5	Australia	won	inns & 033 runs	lost	2nd	v England	Sydney	13 Dec 1946
6	Australia	won	inns & 013 runs	lost	2nd	v England	Sydney	05 Jan 1951
7	Australia	won	inns & 009 runs	lost	2nd	v England	Adelaide	28 Jan 1966

Adelaide {02}, Perth {02}, Sydney {02} and The Oval {02} are the four  grounds which have witnessed Australia’s innings victory against England after losing the toss and batted second in a test on two occasions

No	Team	Result	Margin	Toss	Bat	Opposition	Ground	Start Date
1	Australia	won	inns & 051 runs	lost	2nd	v England	Adelaide	21 Nov 2002
2	Australia	won	inns & 009 runs	lost	2nd	v England	Adelaide	28 Jan 1966
1	Australia	won	inns & 048 runs	lost	2nd	v England	Perth	29 Nov 2002
2	Australia	won	inns & 041 runs	lost	2nd	v England	Perth	14 Dec 2017
1	Australia	won	inns & 033 runs	lost	2nd	v England	Sydney	13 Dec 1946
2	Australia	won	inns & 013 runs	lost	2nd	v England	Sydney	05 Jan 1951
1	Australia	won	inns & 149 runs	lost	2nd	v England	The Oval	14 Aug 1948
2	Australia	won	inns & 039 runs	lost	2nd	v England	The Oval	16 Aug 1930