Percentage Calculator
Calculate percentages quickly. Find out what X% of Y is, what percentage X is of Y, or calculate the exact percentage growth or decline between two numbers.
Result
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The Percentage Change formula
The most common percentage calculation in business is finding the percent growth or decline between an old value and a new value.
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New ValueThe current or ending number. -
Old ValueThe original or starting number.
If the result is positive, it is a percentage increase. If negative, it is a percentage decrease.
The Ultimate Percentage Tool
Percentages are the universal language of mathematics, finance, and business. Whether you are calculating the tip on a restaurant bill, analyzing a discount at a retail store, or measuring the year-over-year revenue growth of a startup, you are relying on percentage math.
However, remembering the correct formula for different situations can be frustrating. Our free, all-in-one percentage calculator solves this problem by offering three distinct calculation modes in a single tool. Simply select the question you are trying to answer from the dropdown menu, plug in your numbers, and instantly get the correct mathematical result.
Mode 1: What is X% of Y?
This is the most common use case for daily life. You use this mode when you know the total amount and the percentage rate, but you need to find the raw numerical value.
Common scenarios:
- Tipping: “The bill is $85. What is 20% of $85?” (Result: $17 tip).
- Taxes: “The car costs $20,000. The sales tax is 7%. What is 7% of $20,000?” (Result: $1,400 in tax).
- Discounts: “This $1,200 laptop is 15% off. What is 15% of $1,200?” (Result: $180 savings).
Mode 2: X is What Percent of Y?
You use this mode when you have two raw numbers and you want to understand the proportional relationship between them. This is heavily used in statistics, grading, and budget analysis.
Common scenarios:
- Test Scores: “I scored 82 points out of a possible 110. 82 is what percent of 110?” (Result: 74.5%).
- Budgeting: “I spend $1,500 on rent and I earn $5,000 a month. $1,500 is what percent of $5,000?” (Result: 30%). If you are trying to optimize your personal cash flow based on percentage rules (like the 50/30/20 rule), we highly recommend using our dedicated budget calculator instead.
Mode 3: Percent Change from X to Y
This is the most critical calculation for business owners, investors, and marketers. Percent change (or percent growth) measures momentum over time. It tells you if things are getting better or worse, and exactly how fast.
Common scenarios:
- Business Growth: “Our revenue was $10,000 last month (X) and $12,500 this month (Y). What is the percent change?” (Result: +25% growth).
- Stock Market: “I bought a stock at $150 (X) and it dropped to $120 (Y). What is the percent change?” (Result: -20% loss).
Understanding percent change is absolutely vital for calculating financial returns. For example, if you spend $5,000 on an advertising campaign and it generates $15,000 in new sales, you have experienced massive growth. To calculate exactly how profitable that specific campaign was, use our ROI calculator to determine your Return on Investment.
The Asymmetry of Percentages
The most dangerous mathematical trap involving percentages is failing to understand that growth and decline are asymmetrical. A 50% loss requires a 100% gain just to break even.
Let’s look at an example:
- You have $100.
- You lose 50%. You now have $50.
- The next day, you gain 50%.
You do not have $100 again. A 50% gain on $50 is $25. You now have $75.
Because percentages are always relative to the starting number, recovering from a loss requires a significantly larger percentage gain than the percentage you originally lost. This is why legendary investors like Warren Buffett preach that the first rule of investing is “Never lose money.” Always double-check your math and percentages before making major financial decisions, especially when evaluating marketing campaigns or stock market returns. Mastering this simple percentage math is the ultimate key to building and protecting your long-term wealth.
What is 20% of 150?
30
Convert 20% to 0.20 and multiply by 150.
50 is what percent of 200?
25%
Divide 50 by 200 to get 0.25, then multiply by 100.
Percent change from 40 to 50
+25%
New (50) minus Old (40) is 10. Divide 10 by Old (40) to get 0.25. Multiply by 100.
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Results are estimates for educational purposes only and may not reflect all factors in your specific situation. This is not financial advice. Consult a qualified financial adviser for personalised guidance.