tomai
Free · Finance Tools

Percentage Calculator

Percents of, what-percent, change and increase — four modes, live

What is X% of Y?
X% is… …of Y? =
X is what % of Y?
X is… …what % of Y? =
Change from X to Y?
From X… …to Y? =
Increase Y by X%?
Increase by X%… …on base Y? =

The most abused number in public

Percentages feel simple and mislead constantly: discounts stack multiplicatively not additively, a pay cut and equal raise don't cancel, and percentage points are not percents. Four tiny formulas cover nearly every daily encounter — this page runs all four live.

What this tool does

  • 💯 X% of Y with instant answers
  • 📊 What percent X is of Y
  • 📈 Percent change between two numbers
  • ➕ Increase or decrease a base by a percent

When to use it

  • Sale tags: 30% off 89, twice
  • Tips, taxes and fees on a bill
  • Reading poll swings and price moves honestly

Privacy: pure arithmetic in your browser — numbers you type never leave your device.

Last updated · 2026-09-01

How the math works

Four closed forms: p·b/100, (a/b)·100, ((b−a)/|a|)·100, b·(1+p/100). Division by zero yields a clean empty state instead of Infinity leaking into the page.

Why percent here?

💯

Four modes, zero tabs

Percent-of, what-percent, change and increase live on one page updating as you type — the four questions people actually ask, no mode-hunting.

🧮

Honest rounding

Two-decimal display with full-precision internals, so 33.333…% of 90 reads 30 without pretending the math underneath is fuzzy.

📋

Teaches while answering

The FAQ explains points-vs-percent and the asymmetric round trip — the two traps this tool exists to defuse.

Frequently asked questions

What is the difference between percent and percentage points?

A move from 20% to 25% is a 5 percentage-point move but a 25% relative increase. Politics and finance exploit this confusion constantly — the change mode shows the relative figure; subtract for points.

Why is a 50% drop followed by 50% gain not break-even?

Because the base changes: 100 → 50 (−50%), then 50 → 75 (+50%). Percentages always apply to their own base — use the increase mode to see it.

How is the math done?

Plain arithmetic with two-decimal display rounding. No compounding, no annualizing — what you see is exactly the formula stated above each result.

Frequently asked questions

What is the difference between percent and percentage points?

A move from 20% to 25% is a 5 percentage-point move but a 25% relative increase. Politics and finance exploit this confusion constantly — the change mode shows the relative figure; subtract for points.

Why is a 50% drop followed by 50% gain not break-even?

Because the base changes: 100 → 50 (−50%), then 50 → 75 (+50%). Percentages always apply to their own base — use the increase mode to see it.

How is the math done?

Plain arithmetic with two-decimal display rounding. No compounding, no annualizing — what you see is exactly the formula stated above each result.

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