Attainment Percentage With Negative Targets
An animated walkthrough of how to calculate performance attainment when the target value itself is negative, a case that breaks the naive actual/target formula. Using a number line centered at zero, markers, and distance indicators, it shows why direct division misleads and builds a corrected formula that preserves the intuitive sense of better versus worse. Useful for finance, business, and math students learning ratio-based KPIs and edge cases in performance measurement.
Narrated · 16:9 · every frame verified for overlaps, spacing and edges before rendering
The prompt that made it
Create a polished, dynamic Manim-style educational animation explaining how to calculate target attainment, especially when the target is negative. CORE STORY Frame the topic as a mathematical/business puzzle: “How do you fairly measure performance when the goal itself is negative?” The viewer should first feel why the problem is counterintuitive, then visually discover the logic behind the solution. VISUAL STYLE - Premium 3Blue1Brown-inspired mathematical animation - Clean dark background - Minimal text - Smooth equation transformations - Numbers and mathematical symbols should move, transform, and rearrange - Use number lines, animated markers, arrows, distance indicators, and simple business-oriented diagrams - Avoid PowerPoint-like slides and static bullet lists - Every visual should help explain the mathematics OPENING Start with a visual comparison: Positive Target: +$4M Negative Target: -$4M Ask visually: “Can the same performance scale work for both?” Show that positive targets are intuitive first. Example: Target = +$4M Actual = +$6M Animate a marker traveling from 0 → $4M → $6M. Then progressively construct: Attainment → Actual / Target → 6 / 4 → 1.5 → 150% NEGATIVE TARGET PUZZLE Now transition to a number line centered around zero. Place: Target = -$4M Establish the visual intuition: ← WORSE -$4M BETTER → TARGET 0 Animate two nearby outcomes: Actual = -$4.1M → slightly worse → ~99% Actual = -$3.9M → slightly better → ~101% Make the direction visually obvious: moving left = worse moving right toward zero = better. FOUR KEY EXAMPLES Keep Target = -$4M fixed and animate four Actual values one at a time: Actual = -$2M → 150% Actual = -$6M → 50% Actual = -$8M → 0% Actual = -$10M → -50% Do not simply display the answers. For every example, animate the Actual marker moving relative to the fixed Target marker and visually show the distance from the target. The -$8M → 0% example should be the main “aha!” moment. Show that the team targeted a $4M loss but lost another full $4M beyond the target, visually exhausting the entire 100% attainment. THE REVEAL Only after building this intuition, reveal the universal equation: Attainment = 1 + (Actual - Target) / |Target| Treat this as the mathematical payoff of the video. Build the equation progressively and visually emphasize |Target| as the key element that allows the same logic to work for positive and negative targets. Then prove the confusing example: Target = -4 Actual = -8 1 + (-8 - (-4)) / |-4| → 1 + (-4 / 4) → 1 - 1 → 0 → 0% Animate each transformation rather than replacing the entire equation abruptly. FINAL VISUAL End with positive and negative targets mirrored side by side. Show that the same equation creates a consistent attainment scale for both profit targets and deficit-control targets. The final feeling should be: “What initially looked paradoxical is actually perfectly symmetrical.” Keep the animation concise, elegant, mathematical, and visually satisfying. Prioritize visual reasoning over narration or on-screen paragraphs. Aspect ratio: 16:9.
Make the next one in this series
- Show how to handle attainment when the target equals zero
- Compare attainment formulas for negative actuals versus negative targets side by side
- Animate a business dashboard applying corrected attainment formulas across multiple KPIs
