Math Tool

Percentage CalculatorMaster percentages with step-by-step calculations

Calculate percentages, grade conversions, discounts, and more with instant results and explanations.

X% of Y

Enter values to calculate

Fill in the numbers above to see percentage calculations instantly.

Common Percentage Applications

Shopping Calculations

Discount Amount:
Item Price × (Discount % ÷ 100)
Final Price:
Original Price × (1 - Discount % ÷ 100)
Sales Tax:
Item Price × (Tax Rate ÷ 100)

Academic Calculations

Grade Percentage:
(Points Earned ÷ Total Points) × 100
Grade Improvement:
((New Grade - Old Grade) ÷ Old Grade) × 100
Class Participation:
(Days Present ÷ Total Days) × 100

Percentage Formula Guide

Find X% of Y

Calculate a percentage of a number.

(X ÷ 100) × Y

What % is X of Y?

Find what percentage one number is of another.

(X ÷ Y) × 100

% Change

Calculate the percentage change between two values.

(New - Old) ÷ Old × 100

Frequently Asked Questions

Percentage increase shows how much a value has grown from the original, while percentage change shows the total change including both increases and decreases. All percentage change calculations in this tool account for direction.

The formula is: (Part ÷ Whole) × 100. This gives you the percentage the first number represents out of the second number.

A percentage shows relative change (e.g., 10% of 100 = 10), while percentage points show absolute change (e.g., from 10% to 20% is a 10 percentage point increase).

Grade percentages are usually converted to GPA using your school's scale (e.g., 90-92% = 3.0 GPA). The tool shows how raw percentages convert to letter grades and GPA points.

To find the discount amount: (Original Price × Discount %) ÷ 100. To find final price: Original Price - Discount Amount, or Original Price × (1 - Discount %/100).

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