Percentage Calculator

Calculate percentage, percentage increase/decrease, and percentage difference with our free online calculator. Multiple percentage calculation modes available.

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What is X% of Y?
What is
% of
?
30
X is what % of Y?
is what % of
?
12.5%
Percentage Change (Increase/Decrease)
From
to
+25%(Increase)
Percentage Difference
Between
and
120%difference
Increase/Decrease Value by Percentage
Value
changed by
%
If increased:575
If decreased:425
Quick Reference - Percentage Formulas
  • X% of Y = (X × Y) / 100
  • X is what % of Y = (X / Y) × 100
  • % Change = ((New - Old) / Old) × 100
  • % Difference = (|A - B| / Avg(A,B)) × 100

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How to Calculate Percentage?

Percentage is a way of expressing a number as a fraction of 100. The word comes from the Latin "per centum," meaning "by the hundred." Percentages are used everywhere - from discounts and taxes to exam scores and interest rates.

Percentage Formulas

1. Finding X% of a Number

X% of Y = (X × Y) / 100

Example: 20% of 150 = (20 × 150) / 100 = 30

2. What Percentage is X of Y?

Percentage = (X / Y) × 100

Example: 25 is what % of 200? = (25 / 200) × 100 = 12.5%

3. Percentage Change (Increase/Decrease)

% Change = ((New Value - Old Value) / Old Value) × 100

Example: Price increased from ₹80 to ₹100 = ((100 - 80) / 80) × 100 = 25% increase

4. Percentage Difference

% Difference = (|A - B| / Average of A and B) × 100

Example: Difference between 50 and 200 = (150 / 125) × 100 = 120%

Common Percentage Calculations

PercentageFractionDecimalHow to Calculate
10%1/100.1Divide by 10
20%1/50.2Divide by 5
25%1/40.25Divide by 4
33.33%1/30.333Divide by 3
50%1/20.5Divide by 2
75%3/40.75Multiply by 0.75

Real-World Applications

  • Discounts: Calculate sale prices (e.g., 30% off on ₹1000 = ₹700)
  • Tax Calculation: GST, income tax percentages
  • Interest Rates: Bank FD, loan EMI calculations
  • Exam Scores: Converting marks to percentage
  • Tips: Restaurant tips (e.g., 15% of bill)
  • Profit/Loss: Business profit margin calculations

Frequently Asked Questions

To find X% of a number Y, multiply them and divide by 100. Formula: (X × Y) / 100. For example, 15% of 200 = (15 × 200) / 100 = 30.

Percentage increase = ((New Value - Original Value) / Original Value) × 100. If a price goes from ₹100 to ₹120, the increase is ((120-100)/100) × 100 = 20%.

Percentage is a value out of 100 (like scoring 85%). Percentile indicates the value below which a percentage of data falls. Being in the 90th percentile means you scored better than 90% of test-takers.

Divide the numerator by denominator and multiply by 100. For example, 3/4 = (3 ÷ 4) × 100 = 0.75 × 100 = 75%.

If you know the discounted price and discount %, divide by (1 - discount%/100). For example, if ₹800 is after 20% discount, original = 800 / 0.8 = ₹1000.
Disclaimer

This calculator is provided for informational purposes only. The results are estimates and should not be considered as financial advice. Actual values may vary based on various factors. Please consult a certified financial advisor before making any financial decisions.

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GST CalculatorSimple Interest CalculatorCompound Interest CalculatorEMI Calculator

Quick Tips

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