% Percentage Calculations

Percentages describe a quantity relative to 100. The Percentage Calculator is useful when you need to find a percentage of a number or determine what percentage one number represents of another.

When you have an original value and a new value, use the Percentage Change Calculator instead. It measures the relative increase or decrease between the two values.

For number-format conversions, the Decimal to Percentage Calculator and Percentage to Decimal Calculator handle the conversion in either direction.

∑ Average and Ratio Calculations

The Average Calculator finds the arithmetic mean by adding the entered values and dividing the total by the number of values.

The Ratio Calculator is intended for proportional relationships. Ratios compare quantities, while an arithmetic average combines a group of values into a single mean value, so the two tools solve different types of problems.

½ Fractions and Percentages

Use the Fraction Simplifier when you want to reduce a numerator and denominator to equivalent lowest terms. For example, 12/18 can be simplified to 2/3.

If you need to express a fraction as a percentage, the Fraction to Percentage Calculator divides the numerator by the denominator and converts the decimal result to a percentage.

× LCM and GCD

The LCM Calculator finds the least common multiple—the smallest positive shared multiple for non-zero positive integers. LCM is useful when looking for the first point at which repeating integer cycles align or when working with common denominators.

The GCD Calculator finds the greatest common divisor, also commonly called the greatest common factor or highest common factor in some contexts. GCD is useful when simplifying ratios and fractions or identifying the largest integer that divides several values.

√ Square Roots and Exponents

The Square Root Calculator calculates the principal square root of a number. For example, the principal square root of 81 is 9 because 9 × 9 = 81.

The Exponent Calculator works with powers. In an expression such as 5³, 5 is the base and 3 is the exponent.

10ⁿ Scientific Notation

Scientific notation provides a compact way to represent very large or very small numbers using a coefficient and a power of ten. For example, 3,500,000 can be written as 3.5 × 10⁶.

Use the Scientific Notation Calculator when you need to work between scientific notation and standard number form.

🎯 How to Choose the Right Calculator

• Use Percentage Calculator when the question contains “what is X% of Y?” or “X is what percent of Y?”
• Use Percentage Change when comparing an old value with a new value.
• Use Average Calculator for the arithmetic mean of several numbers.
• Use Ratio Calculator for proportional relationships.
• Use Fraction Simplifier to reduce a fraction without changing its value.
• Use LCM for a smallest shared multiple and GCD for a greatest shared divisor.
• Use Square Root for √x and Exponent Calculator for powers such as xⁿ.
• Use Scientific Notation for very large or very small numerical values.

✓ Accuracy and Rounding

Each calculator applies its own mathematical formula to the values entered. Some calculations terminate exactly, while others produce repeating or irrational decimal values that must be displayed with limited decimal places.

For example, 25% of 480 is exactly 120, while 1 ÷ 3 cannot be represented as a finite decimal. Similarly, √2 has an infinite non-repeating decimal expansion.