Percentage Calculator

Calculate percentages instantly with our comprehensive percentage calculator. This versatile tool handles all your percentage calculation needs - from basic percentage calculations to complex percentage increase/decrease problems. Perfect for students working on math homework, professionals analyzing business data, or anyone needing quick percentage calculations. Calculate what percentage one number is of another, find the percentage of a number, determine percentage changes between values, and solve reverse percentage problems. Our calculator provides step-by-step solutions to help you understand the calculation process.

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Select Calculation Type:

What is X% of Y?

Percentage (%):

Value:

X is what percentage of Y?

Part Value:

Whole Value:

Percentage Increase

Original Value:

New Value:

Percentage Decrease

Original Value:

New Value:

Percentage Change

From Value:

To Value:

Find Original Value (After Percentage Change)

Final Value:

Percentage Change (%):

Change Type:

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Common Percentage Formulas

Basic Percentage

Formula: (Percentage ÷ 100) × Value

Example: 25% of 200 = 0.25 × 200 = 50

Percentage of a Number

Formula: (Part ÷ Whole) × 100

Example: 50 is what % of 200? = (50 ÷ 200) × 100 = 25%

Percentage Increase

Formula: ((New - Original) ÷ Original) × 100

Example: From 100 to 150 = ((150-100) ÷ 100) × 100 = 50%

Percentage Decrease

Formula: ((Original - New) ÷ Original) × 100

Example: From 200 to 150 = ((200-150) ÷ 200) × 100 = 25%

Quick Percentage Reference

Fraction	Percentage	Decimal	Common Use
1/2	50%	0.5	Half
1/4	25%	0.25	Quarter
3/4	75%	0.75	Three quarters
1/10	10%	0.1	Tenth
1/3	33.33%	0.333	One third

Frequently Asked Questions

How do I calculate percentage increase?

Percentage Increase = ((New Value - Original Value) ÷ Original Value) × 100. For example, if something increases from 100 to 150, the increase is ((150-100) ÷ 100) × 100 = 50%.

What is the formula for percentage decrease?

Percentage Decrease = ((Original Value - New Value) ÷ Original Value) × 100. For example, if something decreases from 200 to 150, the decrease is ((200-150) ÷ 200) × 100 = 25%.

How do I find what percentage one number is of another?

Use the formula: (Part ÷ Whole) × 100. For example, to find what percentage 25 is of 100: (25 ÷ 100) × 100 = 25%.

How do I calculate the original value after a percentage increase?

Original Value = Final Value ÷ (1 + Percentage Increase ÷ 100). For example, if the final value is 120 after a 20% increase: 120 ÷ (1 + 0.20) = 100.