What is the difference between percentage and percentage points?

Percentage is the relative change; percentage points is the absolute change between two percentages. If a rate rises from 5% to 8%, that is a 3-percentage-point increase and a 60% relative increase.

Percentage Calculator 2026 | Online Percent Calculator

Q: How do I calculate what percentage one number is of another?

Divide the first number by the second and multiply by 100. For example, 30 out of 150 = (30/150) × 100 = 20%.

Q: What is percentage change?

Percentage change = (new value - old value) / old value × 100. A positive number indicates an increase, a negative number a decrease.

Q: How do I reverse a percentage increase?

Divide by (1 + percentage/100). For a price that includes a 20% markup, the original = price / 1.20. Do not simply subtract the same percentage — it gives the wrong answer.

What is a Percentage Calculator?

A percentage calculator solves the three questions that underlie almost every practical percentage problem: "What is X% of Y?", "X is what percent of Y?", and "What is the percentage change from one value to another?". Percentages are a universal language for expressing proportions, and they appear everywhere — from discounts and tax, to grade calculations, investment returns, statistical surveys, tipping, body-fat measurements, and interest rates. A reliable calculator removes the small but frequent errors that sneak into mental arithmetic, especially under time pressure.

The concept of "percentage" simply means "per hundred" (Latin per centum). It scales every comparison to a common denominator, which is why 15 out of 20 and 75 out of 100 both translate to 75% and can be compared at a glance. This scaling is also why percentages can compound in non-intuitive ways: a 50% loss requires a 100% gain to break even, and two sequential discounts multiply rather than add. Understanding these subtleties prevents many real-world mistakes — from confusing percentage points with percentages in news headlines to misreading investment returns after a drawdown.

This calculator handles all the common use cases and produces an instant answer. Use it when computing sale prices, grading exams, interpreting poll results, setting targets, or sanity-checking anything where a proportion is involved.

How is it Calculated?

X% of Y: (X × Y) / 100
X is what % of Y: (X / Y) × 100
Percentage change: ((New − Old) / Old) × 100
Increase Y by X%: Y × (1 + X/100)
Decrease Y by X%: Y × (1 − X/100)

Worked example:A product that cost $80 now costs $92. Percentage change = (92 − 80) / 80 × 100 = 15%. Conversely, to increase 80 by 15%: 80 × 1.15 = $92. To bring $92 back to the original, divide by 1.15 — not subtract 15% (80 vs. 78.20).

Common Uses

Shopping: sale prices, coupons, sales tax, tips.
Finance: interest rates, investment returns, loan APR comparison.
Academics: exam grading, GPA, curve fitting.
Statistics: interpreting poll margins, survey data, demographic proportions.
Fitness: body-fat percentage, macronutrient ratios, training progression.

Frequently Asked Questions

How do I calculate what percentage one number is of another?

Divide and multiply by 100. 30 out of 150 = 20%.

What is percentage change?

(new − old) / old × 100. Positive = increase, negative = decrease.

Percentage vs. percentage points?

Percentage is relative; percentage points is absolute. A move from 5% to 8% is +3 pp and +60% relative.

How do I reverse a percentage increase?

Divide by (1 + percentage/100) — never just subtract the same percentage.