Percentage Calculator

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Percentage Calculator in Common Phrases

What is X% of Y?

% of Result:

X is what % of Y?

is what % of Result: %

X is Y% of what?

is % of what? Result:

Percentage Difference Calculator

Percentage Difference: %

Percentage Change Calculator

Percentage Change: %
Percentage Calculator Basics

Percentage Calculator Basics

Percentages are a fundamental concept in mathematics and everyday life, representing a portion of a whole expressed as a fraction of 100. The word "percent" literally means "per hundred." Whether you're using a Percentage Calculator to determine discounts, grades, taxes, or statistics, understanding how to work with percentages is incredibly useful.

1. Calculating a Percentage

This is used when you want to determine what portion (or "part") of a total (or "whole") something represents, expressed as a percentage.

Formula: (Part / Whole) * 100 = Percentage

Example: What is 25 out of 100 as a percentage?
Step 1: 25 / 100 = 0.25
Step 2: 0.25 * 100 = 25%
Answer: 25%
Real-World: 45 out of 60 students passed a test.
(45 / 60) * 100 = 75%
Answer: 75% passed

Tip: Ensure your "whole" is the total amount for accuracy.

2. Finding the Part

This calculation helps you determine a specific portion of a whole when you know the percentage and the total.

Formula: (Percentage / 100) * Whole = Part

Example: What is 20% of 50?
Step 1: 20 / 100 = 0.2
Step 2: 0.2 * 50 = 10
Answer: 10
Real-World: 15% discount on $200
(15 / 100) * 200 = $30
Answer: You save $30

3. Finding the Whole

This is useful when you know a part and its percentage, and need to determine the total amount.

Formula: (Part / Percentage) * 100 = Whole

Example: 15 is 30% of what?
Step 1: 15 / 30 = 0.5
Step 2: 0.5 * 100 = 50
Answer: 50
Real-World: $12 is 25% tip
(12 / 25) * 100 = $48
Answer: Original bill was $48

Interactive Percentage Calculator

Additional Insights

Common Uses: Finance (interest rates), Education (grades), Shopping (discounts)

Quick Trick: For 10%, move decimal left (10% of 300 = 30). For 5%, halve it (15).

Fractions to Percentages: (3/4) * 100 = 75%

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