SQLite table: Convert multiple columns into rows

I have a very large table in an SQLite database that I need to convert from a multiple column format to a multiple row format. I need something that I can do at run-time, because the database already exists on the user's end and the best I can do is get the existing data and reformat it in a more useable structure.

Here's what the data looks like now....

Part    Sales-Mth1  Sales-Mth2  Sales-Mth3  Fcst-Mth1   Fcst-Mth2   Fcst-Mth3
ABC 100 200 300 150 250 350
DEF 50  50  50  60  60  60
GHI 10  20  30  40  50  60
JKL 25  35  25  35  25  35

And here's what I need to convert it to...

Part    Type    Date    Value
ABC Sales   Mth1    100
ABC Sales   Mth2    200
ABC Sales   Mth3    300
ABC Fcst    Mth1    150
ABC Fcst    Mth2    250
ABC Fcst    Mth3    350
DEF Sales   Mth1    50
DEF Sales   Mth2    50
DEF Sales   Mth3    50
DEF Fcst    Mth1    60
DEF Fcst    Mth2    60
DEF Fcst    Mth3    60
GHI Sales   Mth1    10
GHI Sales   Mth2    20
GHI Sales   Mth3    30
GHI Fcst    Mth1    40
GHI Fcst    Mth2    50
GHI Fcst    Mth3    60
JKL Sales   Mth1    25
JKL Sales   Mth2    35
JKL Sales   Mth3    25
JKL Fcst    Mth1    35
JKL Fcst    Mth2    25
JKL Fcst    Mth3    35

Is this even possible with a single SQL statement?

WATYF