Calculate increases, decreases, differences & more.
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The Complete Guide to Percentage Calculations
Percentages are a fundamental part of daily life, from calculating discounts and tips to analyzing financial growth and statistics. The word "percentage" comes from the Latin per centum, meaning "by the hundred." This guide covers everything you need to know about calculating percentages efficiently.
1. Calculating Percentage of a Number
This is the most common calculation. To find X% of Y:
Formula:(Percentage ÷ 100) × Total Value
Example: What is 20% of 500? (20 ÷ 100) × 500 = 0.2 × 500 = 100.
2. Calculating Percentage Change
This is used to determine how much a value has increased or decreased over time.
Formula:((New Value - Old Value) ÷ Old Value) × 100
Example: A stock went from $50 to $75. ((75 - 50) ÷ 50) × 100 = 50% Increase.
3. Percentage Difference
Used when comparing two numbers where neither is the "original" or "start" value (e.g., comparing the height of two buildings).
Formula:(|V1 - V2| ÷ ((V1 + V2) ÷ 2)) × 100
Frequently Asked Questions
Multiply the bill amount by 0.15. For example, 15% of $100 is $15.
% Change implies a direction (increase/decrease) from an old value to a new one. % Difference compares two separate values without direction.
To find the original price before a 20% discount: Final Price ÷ 0.80. To find price before 10% tax: Final Price ÷ 1.10.
Yes! If a price triples, it has increased by 200%.
Yes, NEXHUBTOOL calculators are 100% free.
(Marks Obtained ÷ Total Marks) × 100.
33.33%. You calculate this by dividing 1 by 3 and multiplying by 100.
Yes, the calculator supports negative values for percentage change (decreases).
Yes, click the download button in the result box to save a PDF summary.
Absolutely. All calculations happen in your browser.