Advanced Percentages Calculator

Calculate percentages, percent of numbers, and percent changes with ease

Basic Percentage
Find Percentage
Percent Change
Increase/Decrease

Calculate X% of Y

What Percent is X of Y?

Calculate Percent Change

Increase or Decrease by Percentage

📖 How to Use This Calculator

  • Basic Percentage: Calculate what X% of Y equals (e.g., 25% of 200 = 50)
  • Find Percentage: Find what percentage X is of Y (e.g., 50 is 25% of 200)
  • Percent Change: Calculate the percentage change between two values
  • Increase/Decrease: Add or subtract a percentage from a number (use negative values to decrease)
  • All calculations support decimal numbers for precise results
  • Results include step-by-step explanations and formulas used

Percentages Explained

A complete guide to calculating percentages, finding the percent of a number, and working out percent change – with formulas, real‑life examples & practice questions.

What is a percentage?

A percentage is a way of expressing a part of a whole as a fraction of 100. The word comes from the Latin per centum, meaning “by the hundred.” Writing 45 % is equivalent to the fraction 45100 or the decimal 0.45.

How to calculate a percentage

To find what percentage one number is of another, use the formula:

Percentage = (Part / Whole) × 100%

Example: In a class of 30 students, 12 are left‑handed. What percentage are left‑handed?

(12 / 30) × 100 = 40%

Finding the percent of a number

To find p% of a number N:

p% of N = (p / 100) × N

Example: What is 15 % of AED 260?

0.15 × 260 = AED 39.

Calculating percent change

Percent change tells you how much a value has increased or decreased relative to its original amount.

Percent Change = ((New - Original) / Original) × 100%

  • Percent increase – result is positive.
  • Percent decrease – result is negative.

Example: A phone case drops in price from AED 80 to AED 60.

((60 - 80) / 80) × 100 = -25%. The price decreased by 25 %.

Quick‑fire examples

Example 1 – Test score

You answered 37 out of 50 questions correctly. What’s your percentage score?

Solution: (37 / 50) × 100 = 74%.

Example 2 – Discount

A shirt originally costs AED 120. It’s on sale for 35 % off. What’s the sale price?

Solution: Discount = 0.35 × 120 = AED 42 → Sale price = AED 78.

Practice questions

Try these problems. Reveal the solutions when you’re ready.

1. What is 22 % of 450?

0.22 × 450 = 99

2. A laptop increases in price from AED 3,200 to AED 3,520. Find the percent increase.

((3520 - 3200) / 3200) × 100 ≈ 10%

3. 18 is what percent of 72?

(18 / 72) × 100 = 25%

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Frequently Asked Questions

What’s the easiest way to find 10 % of any number?

Simply move the decimal point one place to the left. For example, 10 % of 480 = 48.

How do I convert a percentage to a fraction?

Write the percentage over 100 and simplify. 75 % = 75100 = 34.

What’s the difference between percent increase and markup?

Percent increase uses the original amount as the base. Markup often uses cost price as the base while percent increase may use selling price depending on context.

How to calculate a percentage?

To find what percentage one number (the 'Part') is of another (the 'Whole'), use the formula: (Part / Whole) × 100%.

How to find the percent of a number?

To find 'p' percent of a number 'N', convert the percentage to a decimal (p/100) and multiply it by N. So, (p / 100) × N.

How to calculate percentage increase?

Percentage increase is calculated as: ((New Value - Original Value) / Original Value) × 100%. The result will be positive.

How to calculate percentage decrease?

Percentage decrease is calculated using the same formula as increase: ((New Value - Original Value) / Original Value) × 100%. The result will be negative.

How to calculate percentage change?

Use the formula: ((New Value - Original Value) / Original Value) × 100%. A positive result indicates an increase, while a negative result indicates a decrease.

How to calculate percentage difference?

Percentage difference between two values (V1 and V2) is typically calculated as: (|V1 - V2| / ((V1 + V2) / 2)) × 100%.

How to calculate body fat percentage?

Body fat percentage is typically calculated using methods like bioelectrical impedance analysis (BIA), skinfold calipers, DEXA scans, or hydrostatic weighing. These methods require specialized equipment or expertise. For accurate results, consult a fitness professional or medical expert.

What is a healthy body fat percentage?

Healthy body fat percentages vary by age, sex, and fitness level. For men, a healthy range is typically 10-22%, and for women, it's generally 20-32%. Athletes may have lower percentages. Consult health guidelines for specific categories.

How to lower body fat percentage?

Lowering body fat percentage typically involves a combination of consistent calorie deficit (eating fewer calories than you burn), regular strength training to build muscle, and cardiovascular exercise. Consult a healthcare provider or nutritionist for a personalized plan.

What is Annual Percentage Rate (APR)?

APR (Annual Percentage Rate) is the annual cost of a loan to a borrower, including interest and other fees, expressed as a single percentage rate. It helps consumers compare the true cost of different loans.

What does the percentage of rain mean?

In weather forecasting, the "percentage of rain" (Probability of Precipitation, PoP) indicates the likelihood that any given point in the forecast area will receive measurable precipitation (typically 0.01 inches or more) during the specified time period. It doesn't mean that percentage of the area will experience rain.

What is slugging percentage?

In baseball, slugging percentage is a statistic that measures the batting effectiveness of a player. It is calculated by dividing the total number of bases a player hits by their total at-bats. It weighs doubles, triples, and home runs more heavily than singles.

What percentage is 1/8th?

To convert a fraction to a percentage, divide the numerator by the denominator and multiply by 100. So, 1 ÷ 8 = 0.125, and 0.125 × 100 = 12.5%.

What percentage is a quorum?

A quorum is the minimum number of members of a group or organization that must be present at a meeting for the proceedings of that meeting to be valid. The specific percentage (or number) required for a quorum is defined by the organization's bylaws, constitution, or applicable rules.

How to convert a percentage to a fraction?

Write the percentage as a numerator over a denominator of 100, then simplify the fraction. For example, 75% = 75100, which simplifies to 34.

How to calculate average percentage?

If you have percentages from the same 'whole', you can average them normally. If percentages are from different 'wholes' (e.g., test scores from different total points), you need to calculate a weighted average: sum all the 'parts' and divide by the sum of all the 'wholes', then multiply by 100%.

How to calculate percentage error?

Percentage error is used to quantify the difference between an approximate or measured value and an exact or known value. The formula is: ((|Measured Value - Actual Value|) / Actual Value) × 100%.

What percentage of my paycheck is withheld for federal tax?

The percentage withheld for federal income tax is not fixed and varies greatly based on your income, filing status (e.g., single, married), number of dependents, and any additional deductions or withholdings you specify on your W-4 form. You can use the IRS Tax Withholding Estimator for a personalized estimate.

What percentage does ActBlue take?

ActBlue, a non-profit fundraising platform, typically charges a standard processing fee for credit card transactions (e.g., around 3.95% + $0.30 per transaction). This fee covers payment processing costs and supports their operations, with the remainder going to the campaign or organization.

What percentage of marriages end in divorce?

Divorce rates vary significantly by country, region, and over time. While the "50% divorce rate" is often cited, recent data suggests it might be lower, particularly for first marriages. These statistics depend on the specific cohort studied and the methodology. Refer to demographic research or national statistical agencies for the most current data.

What percentage of people are left-handed?

Roughly 10-12% of the global population is left-handed. The exact percentage can vary slightly depending on the study and how handedness is defined and measured.

What percentage of the human body is water?

The human body is composed of approximately 55% to 60% water on average. This percentage can vary based on age, sex, and body composition (e.g., muscle tissue holds more water than fat).

What percentage do cafeteria staff have in their sustainable life?

This question is highly specific and lacks a clear, universal quantifiable metric. "Sustainable life" can refer to various aspects (environmental practices, economic stability, social well-being) and would require detailed research and specific criteria related to cafeteria staff to even begin to estimate. It's not a standard percentage you can calculate.