CalcQuick · Percentage
Percentage Calculator
Use this free percentage calculator without signing up. Choose percent of an amount, what percent one number is of another, percentage change, symmetric percentage difference, increase or discount, or reverse percentage. Results update as you type; the formulas and worked examples below explain the calculations.
Reviewed and updated:Calculation with your numbers
(15) ÷ 100 × (240) ≈ 36
Displayed values are rounded to 6 decimal places; calculations use full precision.01
How to use this calculator
- Enter your values using the units shown.
- Review the result, which updates instantly.
- Check the formula and assumptions before using the number for a decision.
02
Formula and assumptions
Share of a total = (part ÷ total) × 100. Percent of an amount = (p ÷ 100) × amount. Percentage change = ((new − old) ÷ |old|) × 100. Percentage difference = |a − b| ÷ ((|a| + |b|) ÷ 2) × 100. Adjusted value = start × (1 ± p ÷ 100).
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Worked example
15% of 240 is 36. A 15% discount on 200 gives 170. If 170 is the value after a 15% discount, the original value is 170 ÷ 0.85 = 200.
Check these examples
Try these cases in the calculator. They are mathematical examples, not customer results.
| Formula and assumptions | Result |
|---|---|
| (15) ÷ 100 × (240) | ≈ 36 |
| (36) ÷ (240) × 100 | ≈ 15% |
| ((100) − (80)) ÷ |80| × 100 | ≈ 25% |
| |(80) − (100)| ÷ ((|80| + |100|) ÷ 2) × 100 | ≈ 22.222222% |
| (200) × (1 − (15) ÷ 100) | ≈ 170 |
| (170) ÷ (1 − (15) ÷ 100) | ≈ 200 |
| (200) × (1 + (15) ÷ 100) | ≈ 230 |
| ((-60) − (-80)) ÷ |-80| × 100 | ≈ 25% |
36 ÷ 0 × 100: The total must be different from zero.
CalcQuick
Sources and scope
These references support the formula or category guidance. CalcQuick remains responsible for the calculator implementation.
- Percentage, percentage change and original-price formulasMicrosoft Support
- Percentage change and percentage pointsEurostat
FAQ
Frequently asked questions
How do I find what percent one number is of another?
Choose “What percent is X of Y?”. Divide the part by the total and multiply by 100. For example, 45 ÷ 180 × 100 = 25%. A total of zero is undefined.
Is this percentage calculator free to use without signing up?
Yes. Use all six percentage modes in your browser without creating an account. The formulas and worked examples below explain how to check the result.
How do I calculate percentage increase or decrease step by step?
For a positive starting value, subtract the old value from the new value, divide by the old value, then multiply by 100. From 80 to 100: 100 − 80 = 20; 20 ÷ 80 = 0.25; 0.25 × 100 = 25%, an increase. From 100 to 80, the result is −20%, a decrease.
What is the difference between percent change and percentage points?
A rate rising from 20% to 25% increases by 5 percentage points. Its relative percentage increase is (25 − 20) ÷ 20 × 100 = 25%. Enter 20 and 25 in percentage-change mode to calculate the relative increase.
How do I add a percentage to a number?
Multiply the number by 1 plus the percentage as a decimal. To add 15% to 200, calculate 200 × 1.15 = 230.
Why can’t percentage change start at zero?
The formula divides by the original value. When it is zero, percentage change is undefined even though the absolute change can still be shown.
How do I find the original value before a discount?
Divide the final value by 1 minus the discount rate as a decimal. If 170 is the price after a 15% discount, the original value is 170 ÷ 0.85 = 200.
Why can’t I add the discount percentage back to the final value?
The discount was calculated from the original value, while adding the same percentage uses the lower final value as its base. Reverse the discount by dividing by 1 minus the discount rate instead.
What is the difference between percentage difference and percentage change?
Percentage difference treats two values symmetrically and divides their absolute gap by their average magnitude. Percentage change uses the old value as the reference and can be positive or negative.