Count Rate Calculator
Calculate an appointment utilisation, no-show or observed mortality percentage and its arithmetic complement. Also calculate snapshot occupancy or a same-period adoption ratio. Rework rate / First-pass yield. Use one named cohort and period; rework counts each affected unit once, never rework operations. No-rework count is not first-pass yield when scrap exists. First-pass units passed without correction or retesting. The comparison assumes every stage has the same yield q; it does not model different stage yields. Counts and cohort must be safe whole numbers (0–9007199254740991), total > 0, passed/reworked ≤ total. Enter 1–20 positive safe-integer stage counts. Any unrepresentable positive result is rejected. Expected failures may be fractional.
A QUICK WALKTHROUGH
How to use this tool
- Choose an original count-rate mode, snapshot occupancy or same-period adoption. Rework rate / First-pass yield
- Enter matching safe integer counts; name the instant or period for occupancy and adoption.
- Calculate the percentage and any applicable complement, then copy or download.
Formula and units
Rate (%) = event count ÷ total count × 100. Complement = total count − event count. Utilisation: booked/available. No-show: no-shows/booked. Observed mortality: deaths/at-risk population.
Scope
Use matching periods and populations. The attendance complement assumes booked minus no-shows; it does not model other appointment statuses. Population minus observed deaths is a count complement, not a health or survival assessment. No thresholds, forecasts or recommendations are supplied.
Local processing
Inputs stay in your browser. The report includes inputs, formulas and scope.
Snapshot occupancy
Occupancy is occupied / capacity × 100 at one instant, with free = capacity − occupied. Adoption is adoptions / intakes × 100 for one reporting period; it may exceed 100% and has no complement.
Same-period adoption ratio
Use one named instant for both occupancy counts, or one named period for both adoption counts. The adoption ratio is not an outcomes or live-release rate, and no remaining or survival count is calculated. Examples: at one instant, 6 occupied of 10 capacity gives 60% and 4 free. In one period, 12 adoptions and 10 intakes gives 120%, with no remaining count.
Rework rate / First-pass yield
Use one named cohort and period; rework counts each affected unit once, never rework operations. No-rework count is not first-pass yield when scrap exists. First-pass units passed without correction or retesting. The comparison assumes every stage has the same yield q; it does not model different stage yields. Counts and cohort must be safe whole numbers (0–9007199254740991), total > 0, passed/reworked ≤ total. Enter 1–20 positive safe-integer stage counts. Any unrepresentable positive result is rejected. Expected failures may be fractional. 100 × R/N; N − R. q = P/N; 100q; N − P; 100q^k; C(1 − q^k).
GOOD TO KNOW
Common questions
Does observed mortality assess health or future risk?
No. It is a percentage of the observed counts you enter and supplies no health threshold or prediction.
How are rework and first-pass yield different?
Use one named cohort and period; rework counts each affected unit once, never rework operations. No-rework count is not first-pass yield when scrap exists. First-pass units passed without correction or retesting. The comparison assumes every stage has the same yield q; it does not model different stage yields. Counts and cohort must be safe whole numbers (0–9007199254740991), total > 0, passed/reworked ≤ total. Enter 1–20 positive safe-integer stage counts. Any unrepresentable positive result is rejected. Expected failures may be fractional.