Turn actual-versus-target into an achievement percentage, reverse-check a 75% example, show results above 100%, and distinguish lower-is-better budget measures.
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The calculation
Achievement percent for a higher-is-better target = actual ÷ positive target × 100
Worked example
Target 200 units, actual 150 units: 150 ÷ 200 × 100 = 75% achieved, with 50 units or 25% of target remaining. Actual 240 against the same target is 120%. A budget of $100 with $80 spent is 80% of the budget used and 20% under budget; that does not mean 80% performance success.
Target must be nonzero and use the same units as actual. Whether a higher or lower result is favorable depends on the goal; a custom 'lower is better' performance score is a separate policy choice, not the basic ratio.
Video chapters
- 0:00 — Set the target as 100 percent
- 0:14 — Divide actual by target
- 0:26 — Convert the ratio to percent
- 0:43 — Find the remaining gap
- 0:59 — Reverse-check the answer
- 1:12 — Above 100 percent is possible
- 1:26 — Lower-is-better goals need a label
- 1:45 — Keep the denominator meaningful
Read the full transcript
Suppose a team plans to make two hundred units and actually makes one hundred fifty. How much of its target did it achieve? First make the two-hundred-unit target the full bar: that is one hundred percent. Then compare the actual output with that fixed reference.
Put actual over target: one hundred fifty divided by two hundred equals zero point seven five. The two values must measure the same thing in the same units. If you reverse them, you answer a different question.
Multiply zero point seven five by one hundred. The achievement is seventy-five percent. That means the actual output reached three quarters of the planned amount. It does not mean the team grew by seventy-five percent; growth compares to an earlier value, not to a target.
The target is two hundred and the actual is one hundred fifty, so fifty units remain. Relative to the two-hundred-unit target, fifty divided by two hundred is twenty-five percent. The achieved seventy-five percent and remaining twenty-five percent add back to one hundred percent.
Take seventy-five percent of the target: zero point seven five times two hundred gives one hundred fifty. That restores the actual output. This reverse calculation is useful whenever a percentage answer seems surprising.
If the team makes two hundred forty units against the same two-hundred-unit target, divide two hundred forty by two hundred. That is one point two, or one hundred twenty percent. The extra forty units extend twenty percent beyond the target bar.
Now imagine a one-hundred-dollar spending limit and eighty dollars spent. Eighty divided by one hundred is eighty percent of the budget used, leaving twenty percent unused. Because lower spending may be favorable, do not call that eighty percent performance success without first defining a separate scoring rule.
For a higher-is-better goal, divide actual by a nonzero target and multiply by one hundred. One hundred fifty out of two hundred is seventy-five percent, while two hundred forty out of two hundred is one hundred twenty percent. State the target, the units, and whether bigger really means better.
Sources
- The Open University — Ratios and percentages
- US Office of Personnel Management — Goal reference materials