Score Ranking Table Sorting

So, I have a table of scores from players for a category I have. It looks like this:

Place-------------Name-------------Country-------------Score
1st---------------Jim----------------USA--------------------376
2nd--------------Michael-----------Germany-------------364
2nd--------------Tim---------------USA-----------------364
4th---------------John--------------Norway-------------355

if one of the guys, for example, John were to improve his score to a 369, I'd change the score in Excel, then use the sort feature to put him above Michael and Tim. Only problem is, it would say his place is still 4th place, and it doesn't change to 2nd place.

I want it so the "Place" column automatically changes to the correct rank based on the score the person has. So if I changed John's 355 score to 369 and hit sort by A-Z, Excel would automatically change the "Place" he's in appropriately so it would look like this:

Place-------------Name-------------Country-------------Score
1st---------------Jim----------------USA--------------------376
2nd--------------John--------------Norway--------------369
3rd---------------Michael-----------Germany-------------364
3rd--------------Tim----------------USA-----------------364