Yes, I was finished. My conclusion was:
The calulated value results in a lower pressure, but matching the spring rate then becomes important, so i recommend doing that.
How does one calculate the pressure? Why did it go down?
Starting with the placard pressure, you look up the load carrying capacity in a table. Here's what one looks like:

Notice it is done by tire size.
Then you find the new tire size in the table and then find the inflation pressure that gets the same or slightly greater pressure. easy, once you have the table.
The pressure went down because the maximum load carrying capacity of the new tire was greater than the old tire. Width was only part of the picture.
And the comment about asking at a tire (or wheel) shop? I'll bet the 99% of the shops out there do NOT know how to do this, so that's not very good advice.