Percentage Calculator
Three common percentage calculations in one tool: percent of a total, change between two values, and adding or subtracting a percent. Handy for discounts, growth rates and tax mark-ups.
Mode
Please enter a valid number
Result
30
Formula
Percent of: X% × Y Change: (B − A) ÷ |A| × 100 Add / subtract: Base × (1 ± P/100)
- · “X% of Y” is simply X/100 × Y, e.g. 15% × 200 = 30.
- · Change uses the absolute value of the starting figure as the denominator; positive = up, negative = down.
- · Add / subtract is the everyday discount or mark-up formula, e.g. $890 with 30% off = $890 × 0.7 = $623.
- · Adding then subtracting the same percent does NOT return the original value (1.1 × 0.9 = 0.99) — an intrinsic asymmetry.
- · Change from a zero starting value is undefined; the tool will flag this as invalid input.
Frequently asked
In Hong Kong, what does “七折” (qī zhé) mean as a percentage off?
“七折” means paying 70% of the original price, i.e. a 30% discount. Use the “Add / subtract %” mode, choose Subtract, and enter 30 as the percent. Similarly: 八折 = 20% off, 八五折 = 15% off, 半價 / 五折 = 50% off.
If a stock falls from $100 to $80, what percent gain is needed to get back to $100?
Not 20%. Going from 80 back to 100 requires (100 − 80) ÷ 80 × 100 = +25%. This is the classic asymmetry of percentage change — the denominator differs for the drop and the recovery. Verify it in the “Change” mode.
Can I use this for sales tax in Hong Kong?
Hong Kong has no sales tax or VAT, so retail prices are already final. For overseas purchases (US sales tax, UK VAT, etc.), use the “Add / subtract %” mode to add the relevant rate.
Related tools
GCD & LCM Calculator
Enter 2–6 positive integers to get the greatest common divisor (HCF / GCD) and least common multiple (LCM), with the Euclidean step chain shown.
Average Calculator (Mean / Median / Mode)
Enter a list of numbers to get the mean, median, mode, range plus standard deviation, variance and total.
Quadratic Equation Solver
Enter the coefficients of ax² + bx + c = 0 to find the real or complex roots, discriminant and vertex.
Password Strength (Entropy) Calculator
Estimate a password's bit entropy, brute-force time and strength tier. All computation happens in your browser.
Scientific Notation Converter
Convert between standard decimal numbers and scientific notation, with significant figures and order of magnitude.
Permutations & Combinations (nPr / nCr) Calculator
Compute permutations P(n,r), combinations C(n,r) and factorial n! — useful for probability problems, lottery odds and combinatorics homework.
Standard Deviation Calculator
Paste a list of numbers to compute mean, median, sample and population variance and standard deviation — with the working shown.
Triangle Calculator (SSS / SAS / ASA)
Solve a triangle from 3 sides, 2 sides + 1 angle, or 2 angles + 1 side — area, perimeter and remaining parts via the law of sines / cosines.
Pythagorean Theorem Calculator
Given any two sides of a right triangle (two legs, or one leg plus the hypotenuse), instantly find the third side, area, perimeter and the two non-right angles.
Circle Calculator (radius / diameter / circumference / area)
Enter any one of radius, diameter, circumference or area to get the other three — useful for design, engineering and DIY.
Roman Numeral Converter
Two-way conversion between Arabic numbers (1–3999) and Roman numerals (I, V, X, L, C, D, M) — handy for typesetting, chapter titles and homework.
Slope & Line Equation Calculator (y = mx + b from Two Points)
Enter two points (x₁, y₁) and (x₂, y₂) to instantly get the slope, y-intercept, line equation y = mx + b, distance, and midpoint — a classroom staple for algebra and coordinate geometry.
Birthday Paradox Calculator
Enter group size n to see the probability that at least two people share a birthday — the classic birthday problem.
Logarithm Calculator (log / ln / log₂ / any base)
Compute logₐ(x) for any base — natural log (ln), common log (log₁₀), binary log (log₂) and a custom base, with the change-of-base steps shown.
Z-Score (Standard Score) Calculator
Enter a value, the mean and the standard deviation to compute the z-score and the corresponding normal-distribution percentile and probabilities.
Screen Pixel Density (PPI) Calculator
Enter the screen resolution and diagonal size to get pixel density (PPI), real width/height, dot pitch and total pixel count.
Hong Kong Mark Six Odds Calculator
Enter the number of tickets / selections and see the actual probability of hitting first, second … prizes in a Mark Six (6-of-49) draw.
Decimal to Fraction Converter
Convert any decimal (including repeating decimals) to a simplified fraction and a mixed number.
Sphere Volume & Surface Area Calculator
Give a sphere any one of radius, diameter, surface area or volume and instantly get the other three — plus the great-circle circumference and area.
Cylinder Volume & Surface Area Calculator
Enter the radius and height of a cylinder to get volume (π r²h), lateral surface, base area and total surface area.
Prime Factorization Calculator
Factor any integer from 2 up to 10¹² into primes, see the canonical exponent form, count and list all divisors.
Geometric Mean Calculator
Compute the n-th root of the product of n positive numbers — the right average for growth rates, returns and ratios — alongside the arithmetic mean for comparison.
Fibonacci Sequence Calculator
Enter any integer n from 0 to 1500 to instantly compute F(n) and F(n−1) with BigInt precision, the consecutive-term ratio (converging to the golden ratio φ) and the first 30 terms of the sequence.