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Percentages express a part of a whole as a fraction of 100.
Formula for "X % of Y": Result = (X / 100) * Y
Formula for "X is what % of Y": Result % = (X / Y) * 100
Formula for "Percentage Change": Result % = ((Y - X) / |X|) * 100 (Where Y is the new value and X is the original value. We use the absolute value of X in the denominator by convention).
The mean (average) is calculated by summing all the numbers in a set and dividing by the count of numbers in that set.
Formula: Average = (Sum of Numbers) / (Count of Numbers)
A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. Numbers like 2, 3, 5, 7, 11, 13, and 17 are prime.
Key Points:
This tool checks for primality using trial division up to the square root of the input number for efficiency.
The determinant is a scalar value that can be computed from the elements of a square matrix and encodes certain properties of the linear transformation described by the matrix.
Select matrix size to see the formula.
This tool converts between the Binary (Base 2) and Decimal (Base 10) number systems. Computers fundamentally operate using binary.
Decimal to Binary: Uses successive division by 2, collecting the remainders.
Binary to Decimal: Each binary digit represents a power of 2 (e.g., 1011 = 1*2³ + 0*2² + 1*2¹ + 1*2⁰ = 8 + 0 + 2 + 1 = 11).
Enter a valid Decimal or Binary value above to see Octal & Hex conversions.
In a world driven by data and numbers, quick and accurate calculations are indispensable. From simple percentages in daily shopping to complex matrix operations in engineering, math permeates our lives. OmniTools proudly presents the **Math & Calculation Suite**, a curated collection of essential, free online calculators designed for students, professionals, and anyone needing reliable results fast. Say goodbye to manual errors and cumbersome spreadsheets – our intuitive toolkit is here to simplify your calculations!
This versatile suite combines five powerful tools under one roof:
Explore the features and utility of each tool below, all accessible with our signature user-friendly interface, dark mode option, and commitment to accuracy.
Percentages are everywhere – discounts, statistics, financial reports, scientific data. Our percentage calculator handles the most common scenarios with ease:
How to Use: Select the calculation type, enter your values (X and Y as prompted), and click 'Calculate'. The tool instantly provides the answer. The advanced section even shows the result as a fraction where applicable!
Finding the average (specifically the arithmetic mean) is fundamental for understanding central tendency in a dataset. Whether averaging grades, expenses, or scientific measurements, our tool makes it simple.
How to Use: Enter your list of numbers into the text area, separated by commas or spaces. The calculator automatically ignores non-numeric entries. Click 'Calculate Average' to get the mean. The advanced section also reveals the count, sum, median (middle value when sorted), range (difference between max and min), and the sorted list itself for deeper insight.
Formula: Average = Sum of all numbers / Count of numbers.
Prime numbers, divisible only by 1 and themselves, are the building blocks of integers and crucial in cryptography and number theory. Instantly determine if any integer is prime with our checker.
How to Use: Enter a positive integer into the input field and click 'Check if Prime'. The tool will quickly tell you if the number is Prime or Not Prime. For composite (not prime) numbers, the advanced section lists the factors found during the check (using trial division).
Determinants are essential scalar values calculated from square matrices, used widely in linear algebra to solve systems of equations, find matrix inverses, and understand geometric transformations. Our tool simplifies finding determinants for 2x2 and 3x3 matrices.
How to Use: Select the matrix size (2x2 or 3x3). Fill in the elements of the matrix in the grid provided. Click 'Calculate Determinant'. The result is displayed clearly. The advanced section shows the specific formula used (e.g., ad - bc for 2x2, or the Rule of Sarrus expansion for 3x3).
Note: Due to the complexity of manual calculation without external libraries, this tool currently supports 2x2 and 3x3 matrices only.
Effortlessly convert numbers between the Binary (Base 2) system used by computers and the Decimal (Base 10) system we use daily. This is invaluable for computer science students, programmers, and network engineers.
How to Use: Enter a valid binary number (only 0s and 1s) in the 'Binary Value' field – the decimal equivalent appears instantly in the 'Decimal Value' field. Conversely, enter a non-negative integer in the 'Decimal Value' field, and its binary representation appears above. The advanced section provides handy conversions to Octal (Base 8) and Hexadecimal (Base 16) as well.
Explore the full range of OmniTools calculators for even more productivity, or visit our Homepage to see featured tools. Learn more about our mission on the About Us page.
Make OmniTools your go-to resource for quick, accurate, and free online calculations!