Restaurant tip
Your dinner bill is $65.00. You want to leave an 18% tip.
$65.00 × 18 ÷ 100
$11.70
Percentages, made clear.
Quick answers. Every step explained.
Result
(20 ÷ 100) × 200 = 40
Formula
(P ÷ 100) × Y
Results are rounded to four decimal places.
Quick Examples
Percentage points and relative change, side by side
Moving from 5% to 7% is 2 percentage points and a 40% relative increase. Enter your rates to check both measures.
Percentage points2
Relative change40%
Percentage points = ending rate − starting rate. Relative change = ((ending − starting) / |starting|) × 100. Relative change from zero is undefined. Negative starts use the absolute starting rate. Calculations precede display rounding to four decimals.
PercentEase
AI assistant · Free Percentage Calculator
Ask about percentages, rate changes, discounts or tips, before or after calculating.
Free Percentage Calculator
Calculate percentages, split tips and check discounts with worked formulas and examples. Free tools, localized numbers and no sign-up. Method and checked examples: (20 / 100) × 200 = 40. Percent of · What percent? · Percent change · Find the total · Increase/decrease.
Choose the right percentage calculation
Percentage points and relative change
A rate moving from 5% to 7% rises by 2 percentage points, but by 40% relative to the original rate. Subtract the rates for points; use percent-change mode with 5 and 7 for the relative result. A zero starting rate has no defined relative percentage change.
House of Commons Library · Percentages in statistics: counts, weighted rates and percentage points
How Do You Use PercentEase?
Choose your calculation type
Choose the right percentage calculation: Percent of · What percent? · Percent change · Find the total · Increase/decrease.
Enter your numbers
Type the values into the input fields. Results calculate instantly as you type.
Read your result
Your answer appears immediately below the inputs with the formula and calculation shown.
Everyday percentage examples
Sale discount
A jacket costs $120.00 and is 35% off.
$120.00 × 35 ÷ 100
Save $42.00 — pay $78.00
Test score
You scored 42 out of 50 on a test.
(42 ÷ 50) × 100
84%
Price change
A price rises from $3.20 to $3.84.
(($3.84 − $3.20) ÷ $3.20) × 100
20% increase
Common percentage calculations
| Calculation | Answer |
|---|---|
| 10% × 100 | 10 |
| 15% × 200 | 30 |
| 20% × 50 | 10 |
| 25% × 80 | 20 |
| 30% × 150 | 45 |
| 50% × 60 | 30 |
| (15 ÷ 75) × 100 | 20% |
| (7 ÷ 28) × 100 | 25% |
| 40 → 50 | 25% increase |
| 200 → 150 | 25% decrease |
| 12.5% × 400 | 50 |
| (45 ÷ 180) × 100 | 25% |
Fraction ↔ Decimal ↔ Percentage
| Fraction | Decimal | Percentage |
|---|---|---|
| 1/2 | 0.5 | 50% |
| 1/3 | ≈ 0.333 | ≈ 33.33% |
| 2/3 | ≈ 0.667 | ≈ 66.67% |
| 1/4 | 0.25 | 25% |
| 3/4 | 0.75 | 75% |
| 1/5 | 0.2 | 20% |
| 2/5 | 0.4 | 40% |
| 3/5 | 0.6 | 60% |
| 4/5 | 0.8 | 80% |
| 1/8 | 0.125 | 12.5% |
| 3/8 | 0.375 | 37.5% |
| 1/10 | 0.1 | 10% |
Understanding Percentages
A percentage is a number expressed as a fraction of 100. The word comes from the Latin 'per centum', meaning 'by the hundred'. Percentages are used everywhere — from shopping discounts to interest rates, exam scores to statistics.
Quick Examples
- What is 20% of 150? → 30
- 15 is what % of 60? → 25%
- Change from 50 to 75 → 50% increase
Frequently Asked Questions
A percentage is a way of expressing a number as a fraction of 100. The symbol % represents 'per cent', meaning 'per hundred'. For example, 50% means 50 out of 100, or half.
To find X% of Y, multiply Y by X and divide by 100. For example, 20% of 150 = (150 × 20) / 100 = 30. Our calculator does this instantly.
Divide the part by the whole, then multiply by 100. For example, to find what percentage 30 is of 150: (30 / 150) × 100 = 20%.
Subtract the old value from the new value, divide by the absolute old value, and multiply by 100. A positive result means an increase; negative means a decrease.
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