Percentage Calculator: Increase, Decrease, and More

How Do You Calculate Percentages?

Calculating percentages is a fundamental math skill. Here's a step-by-step guide:

1. Identify the part and the whole in your problem.
2. Divide the part by the whole.
3. Multiply the result by 100 to get the percentage.
4. Add the % symbol to your answer.

For example, to calculate what percentage 25 is of 100: (25 ÷ 100) × 100 = 25%

Percentage Increase Calculator

To calculate a percentage increase:

1. Subtract the original value from the new value.
2. Divide the difference by the original value.
3. Multiply by 100 to get the percentage increase.

Example: If a price increases from $50 to $75, the percentage increase is: ((75 - 50) ÷ 50) × 100 = 50%

Percentage Change Calculator

The percentage change calculator can determine both increases and decreases. The formula is:

Percentage Change = ((New Value - Original Value) ÷ Original Value) × 100

A positive result indicates an increase, while a negative result indicates a decrease.

What is the Percentage Of?

To find what percentage one number is of another:

1. Divide the number you want to find the percentage for by the total.
2. Multiply the result by 100.

For instance, to find what percentage 30 is of 200: (30 ÷ 200) × 100 = 15%

FAQ

What exactly is a percentage?

A percentage represents a portion of a whole, expressed as a number out of 100. It's a way to express ratios or fractions in a standardized form. The term comes from the Latin "per centum," meaning "by the hundred."

Why use percentages?

Percentages are useful for comparing relative sizes or changes, especially when dealing with different scales. They're commonly used in finance, statistics, and everyday calculations like discounts or tax rates.

How do I calculate a 20% tip?

To calculate a 20% tip, multiply the bill total by 0.20. For example, for a $50 bill, the tip would be: $50 × 0.20 = $10. Alternatively, you can use our percentage calculator for quick and accurate results.