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📊 Percentage Calculator

Six different percentage calculations — all instant, all free.

1. What is X% of Y?

What is % of ? 30

2. X is what percent of Y?

is what % of ? 15%

3. Percentage Increase / Decrease

From to is +25%

4. Add a percentage (e.g. price + tax)

+ % 121

5. Discount — Subtract a percentage

% discount = $90

6. Find original value before a % change

After % increase, value is , original = 100
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Percentages are the language of everyday math — from shopping discounts and salary raises to exam scores and tax calculations. This free percentage calculator covers 6 common modes so you never have to fumble with a formula again. Whether you need a quick discount check or want to verify a percent change, you'll get an instant, accurate result.

How the Percentage Calculator Works

Each of the 6 modes targets a distinct calculation. Mode 1 finds X% of a number (ideal for tips and taxes). Mode 2 answers "X is what percent of Y?" (perfect for test scores). Mode 3 computes percent change between two values (great for price or salary comparisons). Mode 4 adds a percentage (e.g., price + VAT). Mode 5 applies a discount. Mode 6 reverse-engineers the original value before a percentage change was applied. Enter your numbers in the relevant row and tap the button — no page reload needed.

3 Real-World Examples

🛍️ Example 1 — Shopping Discount

Item costs $89.99, it's 30% off. 89.99 × 0.30 = $27.00 discount → you pay $62.99. Always verify "sale" prices with this — a 40% off sticker then 20% at checkout is NOT 60% off (it's 52%).

📈 Example 2 — Salary Raise

Current salary $55,000, you got a 7% raise. 55,000 × 0.07 = $3,850 increase → new salary $58,850. Use the percent change mode to verify: (58,850 − 55,000) ÷ 55,000 × 100 = 7%.

🎯 Example 3 — Exam Score

You got 47 out of 60 questions right. 47 ÷ 60 × 100 = 78.3%. Need to pass with 75%? You cleared it. Need an A (90%)? You need 54 correct out of 60.

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Tips

  • To find 10% of any number instantly, just move the decimal one place to the left — then scale up or down from there.
  • Stacked discounts are never additive: 40% off then 20% off equals 52% off total, not 60%.
  • When comparing percent changes, watch for asymmetry — a 50% loss requires a 100% gain just to break even.
  • Use Mode 6 to reverse-engineer pre-tax or pre-markup prices when you only see the final amount.

Understanding Percent vs. Percentage Points

These two phrases sound similar but mean very different things. A "percentage point" change is absolute: going from 4% to 6% is a 2 percentage point increase. A "percent" change is relative: that same move is a 50% increase (2 ÷ 4 × 100). In finance and policy reporting, the distinction is critical — misreading it can lead to very wrong conclusions about interest rates, tax brackets, or investment returns.

Frequently Asked Questions

How do I calculate what percentage one number is of another?
Divide the part by the whole and multiply by 100. Example: 45 is what percent of 180? → 45 ÷ 180 × 100 = 25%. Our calculator's "What percent is X of Y?" mode handles this instantly.
How do I calculate a percentage discount?
Multiply the original price by the discount rate (as a decimal). $120 with 25% off: 120 × 0.25 = $30 discount; final price = $90. Or use: Final price = Original × (1 − discount%). $120 × 0.75 = $90. Use our discount mode for instant results.
What is the difference between percentage increase and percentage point increase?
A percentage increase is relative. If a rate goes from 2% to 3%, that's a 50% increase (1 ÷ 2 × 100). A percentage point increase is absolute — it went up 1 percentage point. This distinction matters in finance and statistics: a fund returning "2 percentage points more" is very different from "2% more."
How do I calculate percent change between two numbers?
Formula: ((New − Old) ÷ Old) × 100. Stock was $45, now $58: (58 − 45) ÷ 45 × 100 = 28.9% increase. If it dropped from $58 to $45: (45 − 58) ÷ 58 × 100 = −22.4% — note the asymmetry: a 28.9% gain does NOT cancel out a 22.4% loss on the same asset.
How do I calculate tip percentage?
Divide the tip amount by the bill total and multiply by 100. Tipped $12 on an $80 bill: 12 ÷ 80 × 100 = 15%. To calculate tip amount: bill × tip% ÷ 100. $65 bill, 20% tip: 65 × 0.20 = $13. Use our Tip Calculator for automatic splitting among multiple people.
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