Omni Percentage Calculator
Solve all common percentage calculations in one spot: find percentages of numbers, percentage change (increase/decrease), discount prices, and ratios with live step-by-step formulas.
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What is X% of Y?
%
Result
30.00
Formula: (20 ÷ 100) × 150 = 30
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Understanding Percentage Calculations & Formulas
The word percent originates from the Latin per centum, meaning "by the hundred." Percentages are fractions with a denominator of 100. Whether calculating retail sales tax, analyzing stock market gains, or grading exam curves, the following fundamental formulas apply:
1. Calculating the Percentage of a Given Total
P = (Percentage ÷ 100) × Base Number
Real-World Example: A restaurant bill totals $140.00, and you decide to leave a 18% gratuity tip. To calculate the tip: (18 ÷ 100) × 140 = 0.18 × 140 = $25.20 tip.
2. Calculating Percentage Increase and Decrease (Percentage Change)
Percentage Change (%) = [ (New Value - Original Value) ÷ Original Value ] × 100
If a company's revenue grows from $50,000 in Q1 to $65,000 in Q2:
- Difference: $65,000 - $50,000 = $15,000
- Divide by original: $15,000 ÷ $50,000 = 0.30
- Multiply by 100: +30% Revenue Increase
Frequently Asked Questions (FAQ)
Yes. If a metric doubles (e.g., from 100 to 200), that represents a 100% increase. If it triples (e.g., from 100 to 300), that is a 200% increase.
To find the original price before a discount was applied: divide the sale price by
(1 - Discount Rate). For instance, if an item costs $60 after a 20% discount: $60 ÷ (1 - 0.20) = $60 ÷ 0.80 = $75.00 original price.