Ajax Calculator

Ajax Calculator Logo
Percentage Increase Calculator

Percentage Increase Calculator

Live calculations with unit selectors, a step-by-step derivation, tooltips, and PDF export.

📥 Initial value input
? The original (baseline) amount.
📤 Final value input
? The amount after the change.
🔁 Increase or decrease? mode
? Affects how we compute from %.
📈 Increase (%) input
% percent
? Relative change based on the initial value.
🧮 Difference
Computed as Final − Initial.
🧾 Summary
Enter any two fields (e.g., Initial & Final) and I’ll compute the rest.
🧠 Step-by-step algebraic derivation

Core relationships:

  1. Let I be the initial value and F the final value.
  2. Let p be the percentage change (%), and s the sign (+1 for increase, −1 for decrease).
  3. Then F = I · (1 + s · p/100).
  4. Equivalently, p = 100 · (F − I) / |I| (when I ≠ 0).
  5. Difference: D = F − I.

Once you provide knowns, the calculator will show a tailored derivation here.

📚 Quick reference table
Quantity Formula
Percent increase p = 100 · (F − I) / |I|
Percent decrease p = 100 · (I − F) / |I|
Final (increase) F = I · (1 + p/100)
Final (decrease) F = I · (1 − p/100)
Difference D = F − I