What is CPI for "10% under budget" ?

 I am told that CPI for "10% under budget" is 1.10 but I am thinking that it is 1.1111...

Conversely, I am thinking tat CPI for "10% over budget" would be 0.9090... and that it would not be 0.90.

In other words, I am thinking that the old "inverse fraction math" is at play here.  That is, when we are 10% under budget that means that our cost is at 90% of the budget - in which case we would divide 1 by 0.9 (or 100%/90%) and would end up with a CPI of 1.1111...  

What do you think and please explain?

admin's picture

10% over budget would mean Actual cost is 110 instead of 100 and CPI should be 100/110 , so yes CPI is 0.909.  Just use the given forumlas you should be fine.