Number guides

Plain-language explanations, reliable formulas, and worked examples that help you understand the answer—not merely copy it.

Percentages

What Is Percentage Calculation?

Understand what percentages mean, how the core formula works, and when to use it.

6 min read · Practical examples
Percentages

How to Calculate Percentage Increase

Learn the percentage increase formula with price, salary, and growth examples.

6 min read · Practical examples
Percentages

Percentage Decrease Explained

Calculate decreases accurately and avoid common baseline mistakes.

6 min read · Practical examples
Percentages

Percentage Difference vs. Percentage Change

Choose the right comparison formula when values have or do not have a baseline.

6 min read · Practical examples
Averages

How to Calculate an Average: Formula, Steps, and Examples

Calculate the arithmetic mean from a sum and count, check the result, and solve useful reverse-average problems.

6 min read · Practical examples
Averages

Mean, Median, and Mode: Differences, Formulas, and When to Use Each

Compare mean, median, and mode, calculate each correctly, and choose a measure that fits the data and question.

6 min read · Practical examples
Averages

How to Calculate a Weighted Average: Formula and Examples

Calculate a weighted average with percentage, frequency, credit, price, or portfolio weights and handle edge cases correctly.

6 min read · Practical examples
Averages

When an Average Can Be Misleading—and What to Check Instead

Recognize when a correct average hides outliers, skew, subgroups, sample-size differences, missing data, or changing definitions.

6 min read · Practical examples
Dates

How Is Exact Age Calculated in Years, Months, and Days?

Learn how exact calendar age counts completed years, completed months, and remaining days across birthdays, month ends, and leap years.

6 min read · Practical examples
Dates

How Leap Years Affect Age Calculations

Apply the Gregorian century rule and understand how February 29 changes elapsed-day totals without changing the meaning of completed age. Test ordinary leap years and century boundaries with explicit date intervals and independently checked totals across common-year and leap-year endpoints, including 1900, 2000, 2024, and 2100 in practical calendar calculations.

6 min read · Practical examples