Math Tools

Percentage Calculator

Four modes — basic percentage, percentage change, discount pricing, and fraction conversion.

What is X% of Y?

Enter a percentage and a number to find the result.

%

The percentage you want to calculate

The number to apply the percentage to

20% of 500

100

20% × 500 = 100

Result

100

Remainder

400

80% of 500

Formula: 500 × (20 ÷ 100) = 100

Quick Examples

Click to auto-fill the inputs above

Formula Reference

Basic percentage

Result = (Percentage ÷ 100) × Number

20% of 500 = (20 ÷ 100) × 500 = 100

Percentage change

Change% = ((Final − Initial) ÷ |Initial|) × 100

100 → 120: ((120−100) ÷ 100) × 100 = +20%

Discount price

Final = Original × (1 − Discount% ÷ 100)

₹1000 × (1 − 0.20) = ₹800

Fraction to %

Percentage = (Numerator ÷ Denominator) × 100

3 ÷ 4 × 100 = 75%

Tips

💡

Tip: Mental shortcut

For 10%, just move the decimal left by one. For 5%, halve the 10% result. For 15%, add both together.

🏷️

Tip: Stacked discounts

Two discounts don't add up: 20% + 10% ≠ 30% off. Calculate step by step — 20% off, then 10% off the discounted price.

📊

Tip: % change vs. points

A rise from 10% to 20% is a 10 percentage-point increase, but a 100% relative increase. These measure different things.

What to do next

Where Percentage Calculations Matter Most

  • Salary negotiations — calculating the exact rupee value of a 12% hike or comparing two offers with different base + variable structures.
  • GST and tax computations — finding the tax component embedded in an invoice or calculating the pre-tax price from a GST-inclusive amount.
  • Investment returns — measuring portfolio growth, comparing fixed deposit rates, or calculating the real return after inflation.
  • Academic grading — converting marks to percentage, finding the minimum score needed for a distinction, or computing weighted averages across subjects.
  • E-commerce and retail — verifying whether a sale price actually reflects the advertised discount, or calculating the effective savings across stacked offers.
  • HR and payroll — computing PF contributions, TDS percentages, performance bonus payouts, and CTC components as a share of total compensation.

Percentage Misconceptions That Lead to Wrong Decisions

  • Percentage vs percentage points: If a mutual fund return drops from 12% to 9%, it fell by 3 percentage points — but by 25% in relative terms. Confusing these two is one of the most common errors in financial reporting and salary discussions.
  • Percentage increase is not the inverse of a decrease: A price that falls 50% and then rises 50% does not return to its original value. After a 50% drop on ₹100 you get ₹50, and a 50% rise brings it back to only ₹75.
  • "Up to" discounts versus actual savings: An "up to 70% off" sale applies to only a handful of items. The effective average discount across a cart is often 10–20%. Always verify the final price against the original before assuming savings.
  • Simple interest vs compound growth: A 10% annual return over 5 years is not 50% total. Compounded, it is approximately 61%. The difference widens significantly over longer periods and higher rates.

Real-World Scenarios Requiring Precise Percentage Work

  • Salary hike negotiation: You earn ₹60,000/month and receive a 15% hike offer. Use the basic mode to confirm that amounts to ₹9,000 — and the percentage change mode to verify whether your counter-offer of ₹75,000 represents a 25% increase.
  • Comparing loan interest costs: A home loan drops from 9% to 8.5%. Use percentage change to see that is a 5.56% relative decrease in interest rate — which over a 20-year tenure translates into significant total interest savings.
  • Checking exam eligibility: A university requires 60% to qualify for admission. You scored 354 out of 600. Use the fraction-to-percentage mode: 354/600 = 59% — just below the cutoff. Knowing this exactly matters.
  • Validating GST invoice amounts: A vendor charges ₹11,800 for a service and says 18% GST is included. Reverse-calculate: ₹11,800 ÷ 1.18 = ₹10,000 base, and ₹1,800 GST. Use the discount mode in reverse to verify this instantly.

Common Everyday Percentage Errors to Avoid

  • Calculating a percentage hike on CTC instead of take-home — a 20% hike on a ₹10L CTC is ₹2L more, but your in-hand increase depends on which components grew and how tax brackets shift.
  • Applying discount percentages to the wrong base — some retailers calculate discounts on MRP while others use a "sale price" as the base, making the effective discount appear larger than it is.
  • Rounding percentage calculations mid-step — rounding 33.33% to 33% before multiplying introduces a small but consistent error that accumulates in payroll, invoicing, or grade point calculations.
  • Misreading percentage point changes in news — when the RBI raises repo rate from 6.25% to 6.5%, it is a 0.25 percentage point increase, not a 4% increase in the rate itself.

Related Tools

All calculations are performed client-side instantly — no data is stored or transmitted.

How it works

  1. 1

    Basic: Find what X% of Y is. Example: 20% of 500 = 100.

  2. 2

    Change: Find the % increase or decrease between two values.

  3. 3

    Discount: Enter price and discount % to get the final price and savings.

  4. 4

    Fraction: Convert between fractions and percentages instantly.

Example calculation

Scenario: 20% discount on ₹1,500

  • Discount amount = ₹1,500 × 20% = ₹300
  • Final price = ₹1,500 − ₹300 = ₹1,200
  • You save ₹300 (20% off)

Who benefits & use cases

  • Quickly calculate sale prices and discount amounts while shopping.
  • Track business growth by computing percentage change in revenue.
  • Convert exam scores to percentages or fractions for academic analysis.

Frequently asked questions

What is the formula for percentage change?

% Change = ((Final − Initial) / |Initial|) × 100. A positive result means increase; negative means decrease.

Are stacked discounts additive?

No. Two 10% discounts give 19% off, not 20%. Each discount applies to the already-reduced price.

How is percentage different from percentage points?

If interest rises from 5% to 6%, that's a 1 percentage-point increase, but a 20% relative increase. These measure different things.