That's pretty similar to how I see it, though I do it a different way..

Metric         Weight     Score  Weighted Score
Leadership     40%        2      .8
Punctuality    20%        2      .4
Cleanliness    30%        2      .6
Responsiveness 10%        2      .2
Total          100%              2
[download]

Basically, all the weights apply to a total... in this case, it's 100%

When you eliminate the Punctuality column, you're left with a total of 80%... So just figure out what percentage of 80 the remaining weights are:

Leadership     40/80 =  50%
Cleanliness    30/80 =  37.5%
Responsiveness 10/80 =  12.5%
Total             80%  100%
[download]

So the recalculated weighted score becomes:

Metric         Weight     Score  Weighted Score
Leadership     50%        2      1
Cleanliness    37.5%      2      .75
Responsiveness 12.5%      2      .25
Total          100%              2
[download]

Trek

Edit: Added recalculated table.