Free & No Sign-up4 Calculators

Percentage
Calculator

Four calculators in one. Calculate instantly, understand visually, and learn the mental shortcuts that make percentages feel obvious.

The Calculator

Pick the mode that matches your question. Formula shown with result.

Enter values above

The Actual Mental Model

Most people memorize the formula. This is what makes it click instead.

💡 Core Analogy
“Per cent” literally means per hundred. A percentage is a ratio expressed in hundredths.

Imagine a crowd of exactly 100 people. If 30% like coffee, that means 30 of those 100 people do. Now scale the crowd: 500 people? 30% = 150 people. 1000 people? 300. Percentages are just a consistent scale-invariant ratio— the "/100" is baked in so you can compare things of different sizes fairly.

The Triangle Model

Cover the value you want — the remaining two tell you how to find it.

PART= Rate × BaseRATE= Part ÷ BaseBASE= Part ÷ Rate÷
Part — the specific portion (e.g. 15, 45, 300)
Rate — the percentage as a decimal (e.g. 0.20 for 20%)
Base — the total (what you're taking a percentage of)

Visual Intuition

See the part-vs-whole relationship in real time.

30%
70%
0%50%100%
Part30%
Remainder70%
30% of any number N = N × 0.30
🤯 The Part That Trips Everyone Up

Percentage of vs. Percentage change

Common Mistake

“The price went from $80 to $100, so it increased by 20%.”

✗ Wrong — that's a $20 increase
Correct Thinking

% change = (new − old) ÷ old × 100 = (100 − 80) ÷ 80 × 100

✓ 25% increase (relative to 80)

The base matters. 20% of the new value ≠ % change from the old value. Always divide by the starting number.

Mental Math Shortcuts

The tricks that become second nature. Tap any to expand.

⚡ Memorable Insight

Every percentage problem reduces to: multiply or divide by (x/100)

There's really only one formula hiding behind all percentage questions. Convert the percentage to a decimal (÷100), then multiply or divide depending on what you know. The four calculator modes above are just different ways of rearranging the same equation: Part = Rate × Base.

Where This Actually Matters

🛒

Discounts

A 30% off tag. ₹2,400 × 0.70 = ₹1,680. You pay the complement, not the discount.

📊

Data & Metrics

Conversion rates, growth rates, error rates — all percentage changes. The base always matters.

💰

Interest & Finance

GST, income tax slabs, loan interest — all percentages of different bases. Know which base.

Quick Reference

QuestionFormula
What is 15% of 200?(15 / 100) × 200
45 is what % of 180?(45 / 180) × 100
80 → 100, % change?((100 − 80) / 80) × 100
60 is 40%, find total(60 / 40) × 100