Percentage Calculator

Calculate percentages in any scenario — what percent of a number, increase/decrease, GST, discounts, and percentage difference. Instant results.

What is X% of Y?
of
Result37.5
X is what % of Y?
of
Percentage18.5%
Percentage Change
→
Change+25%
Absolute Difference+25

What a Percentage Means

A percentage is just a ratio out of 100 — the word comes from the Latin per centum, "by the hundred." It shows up everywhere: discounts, tax, grades, interest rates, battery levels. This calculator covers the three calculations people actually need day to day.

The Three Core Calculations

1. Finding "X% of Y"

Example: Your restaurant bill is ₹2,500 and you want to leave a 15% tip. How much is that?

X% of Y
Result = (Percentage ÷ 100) × Total Value

The math: (15 / 100) × 2500 = ₹375.

2. Finding "X is what percentage of Y?"

Example: You scored 84 out of 120 on an exam. What's that as a percentage?

X is what % of Y
Result = (Scored Value ÷ Total Value) × 100

The math: (84 / 120) × 100 = 70%.

3. Percentage Change (Increase / Decrease)

Example: A stock opened at ₹400 on Monday and closed at ₹350 on Friday. What's the percentage change?

Percentage Change
Result = ((New Value − Old Value) ÷ |Old Value|) × 100

The math: ((350 − 400) / 400) × 100 = −12.5%, a 12.5% decrease.

A Few Practical Cases

  • Retail discounts: A $1,200 TV marked "30% off" doesn't need a subtraction step — you're simply paying 70% of the price. $1,200 × 0.70 = $840.
  • Tax (GST / VAT): A $500 product with 18% sales tax: multiply by 1.18 to get the final price. $500 × 1.18 = $590.
  • Why a 50% loss needs more than a 50% gain to recover: A portfolio that drops from $10,000 to $5,000 has lost 50%. A 50% gain from there only brings it to $7,500 — recovering the original $10,000 actually requires a 100% gain on the new, smaller base.
Mathematical Anomalies

Frequently Asked Questions

Clearing up common percentage calculation roadblocks.

Yes! This is the fundamental Commutative Property of percentage multiplication. X% of Y will ALWAYS precisely equal Y% of X. While calculating 8% of 50 in your head is mentally taxing, flipping it to "50% of 8" instantly yields the correct answer: 4. This is a brilliant mental math hack.
A percentage is an absolute raw value (e.g., scoring 60 out of 100 marks is exactly 60%). A percentile is a comparative benchmark against a population. If you score in the "90th Percentile", it means you outperformed precisely 90% of all other individuals taking the test, regardless of what your absolute percentage raw score was.
Absolutely. While you cannot give "110% effort" physically, or have "110% of a pizza", growth rates routinely scale over 100. If an antique painting was bought for $100 and sold for $400 decades later, it gained $300 in profit. The percentage increase is $300 / $100 × 100 = 300% profit growth.
Standard mental heuristic: Take the total bill value (e.g., $84), move the decimal point one digit to the left to find precisely 10% ($8.40). Then, simply double that amount ($8.40 × 2 = $16.80). You have instantly calculated a 20% tip without a calculator.
In global banking and bond markets, fractions of percentages are monumental. A "basis point" is exactly one-hundredth of one percent (0.01%). Therefore, if a central bank raises the national repo interest rate by "50 basis points", they have mathematically increased the rate by 0.50%.
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