Ranking with Movement

I decided to give this a shot because it's something that is a little new to me.  

First thing I did was take your data and add to Power Query to clean it up and make it usuable ( at least how I was going to use it).  Nothing to intense, just some renaming, splitting, etc.  I needed to get the FQ by itself, as use that (FQ) and FY to create a unique FyFQID

FyFqID = 

[FY]*100+[FQ]

Did that in PQ and loaded that clean table to the data model:

Then I created an Index column that will be used to figure out what was previous.  

Index = 
VAR CurrentClient ='Rank Exampl'[Client] 
VAR CurrentFQ= 'Rank Exampl'[FyFqID]
RETURN

CALCULATE(
    COUNTROWS(
        FILTER(
            ALL( 'Rank Exampl'),
                'Rank Exampl'[Client]=CurrentClient
                    && 'Rank Exampl'[FyFqID] >= CurrentFQ
        )
    )
)

So now we have data that we can use, time to build some measures.  

1. base measure:

Total Rev = SUM ( 'Rank Example'[Revenue])

2.  Meaure for current Rank:

Current Rank = 
RANKX(
    ALL ( 'Rank Example'[Client]),
    [Total Rev]
)

3.  Measure for Previous Rank (which is why  we needed an "Index" column):

Previous Rank = 
RANKX(
    ALL('Rank Example'[Client]), 
    CALCULATE(
        [Total Rev], 
        FILTER( 
            ALLEXCEPT('Rank Example','Rank Example'[Client]), 
                MAX('Rank Example'[Index])-1 = 'Rank Example'[Index]
            )
        )
    )

4.  Change in Rank is just subtracting the Prev and Current:

Change in Rank = [Previous Rank] - [Current Rank]

It's not done as you wanted some more formatting, but the heart of it is there i believe.  There also needs to be some logic added on the 1st period, since there's nothing to compare it to.  But ran out of time