When people are measured they try to make themselves look good. Therefore I think KPIs should be designed to encourage desired behaviour.
So the first question is, what does “change request managed” mean?
Does it mean that the request has been through impact analysis and either authorized or rejected? I hope so, because if it means that it has been implemented as well, it's asking for hurried implementations and mistakes. Let's assume it means “changes analyzed and authorized or rejected”.
It's trying to drive closure, and it seems as though a monthly cycle is desired by your organization. What happens when a CR is raised just before month end? Is it rushed, or can it be carried over? I would propose carried over. So the KPI ought to reflect the idea of giving a CR one month (30 days) to get itself managed:
Numerator = Number of CRs that were completed this month within their 30 day limit
Denominator = Number of CRs that should have been completed this month because their 30 days expired this month
Multiply the result by 100 to make it a precentage.
This will encourage people to complete CRs within 30 days of receipt, the behaviour I assume you want.
If both numbers are zero in a certain month, forcing the dashboard to go green could be a mistake, for it could indicate that the change request process has failed completely. Green should mean 100% of received CRs were completed on time and nothing else. If it's zero/zero, the KPI should show up as text: “No CRs this month” or such. Please do not allow yourself to be constrained by the tool. Make it do what you want. It's easy in software to write things something like:
If (denominator is zero) report “No CRs” Else (KPI = numerator/denominator * 100; report KPI)
If it won't do it, find a decent programmer or find a better tool.
Of course, if the KPI is defined this way, there is the matter of the CRs that did not get completed. One solution would be to make a similar KPI for overdue CRs, perhaps giving them closure timeframes of 60 and 90 days. This will encourage people to complete overdue CRs within 60, or at most 90 days. (After that I'd raise a corrective action to learn why not even 90 days is enough, and fix it.)
Hope this helps,
Pat