ZenovayTools

Percentage Calculator

Calculate percentages, percentage change, and percentage of totals. Covers the most common percentage problems with clear formulas.

Quick examples

How to Use Percentage Calculator

  1. 1Choose the type of percentage calculation you need.
  2. 2Enter the values in the input fields.
  3. 3See the result and the formula used.
  4. 4Copy the result or try another calculation type.
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Frequently Asked Questions

What is the formula for calculating a percentage?
Percentage of a value: result = (percent / 100) × total. Example: 15% of 200 = (15/100) × 200 = 30. What percent is X of Y: percent = (X / Y) × 100. Example: 30 is what % of 200 = (30/200) × 100 = 15%. Find original from percentage: original = value / (percent / 100). Example: 30 is 15% of what = 30 / 0.15 = 200.
How do I calculate percentage increase?
Percentage increase = ((new − old) / |old|) × 100. Example: from 80 to 100 = ((100 − 80) / 80) × 100 = 25% increase. For decrease, the result is negative: from 100 to 80 = ((80 − 100) / 100) × 100 = −20% (20% decrease). For year-over-year growth, the same formula applies: (this year − last year) / last year × 100.
How do I reverse a percentage (find the original value)?
If you know the result after a percentage change and want the original: original = result / (1 + percent/100) for an increase, or result / (1 − percent/100) for a decrease. Example: a price after a 20% increase is 120 — original = 120 / 1.20 = 100. Example: a discounted price of 80 after 20% off — original = 80 / 0.80 = 100.
How are percentages used in finance?
Finance uses percentages for: interest rates (5% annual), tax rates (VAT 20%), investment returns (CAGR), discounts, profit margins (gross profit / revenue × 100), markup ((price − cost) / cost × 100), and inflation. Compound interest: final = principal × (1 + rate/n)^(n×years), where n is compounding periods per year.
What is the difference between percentage points and percent?
A percentage point is an absolute difference between two percentages. If interest rates rise from 2% to 5%, they increased by 3 percentage points — but by 150% relative change ((5−2)/2 × 100). Confusing these is a common error: saying "rates went up 150%" sounds dramatic when "rates went up 3 percentage points" is the clearer description. Use "percentage points" for absolute differences between percentages.