Percent Calculator | Discount, Percent Change, Percent Of

Eight everyday percent calculations on one page — percent of a value, what percent, percent change, sale price, discount rate, and stacked discounts — each with the formula shown.

What is X% of a value?

Result30,000

200,000 × 15 ÷ 100 = 30,000

What percent is A of B?

Percent30%

36 ÷ 120 × 100 = 30%

Percent change (increase / decrease)

Change+30%increase · Difference 15,000

(65,000 − 50,000) ÷ 50,000 × 100 = 30%

Sale price from a discount

Sale price62,300You save 26,700

89,000 × (1 − 30 ÷ 100) = 62,300

Discount rate from two prices

Discount23.2558%You save 30,000

(129,000 − 99,000) ÷ 129,000 × 100 = 23.2558%

Increase or decrease by X%

Increased3,150,000Decreased 2,850,000

3,000,000 × (1 + 5 ÷ 100) = 3,150,000

Find the whole from a part

Whole45,000

4,500 ÷ 10 × 100 = 45,000

Stacked discounts

Effective discount28%Not 20% + 10% = 30%

1 − (1 − 20%) × (1 − 10%) = 28%

How to use

Pick a card

Find the calculation card you need.

Enter numbers

Enter two numbers — commas are fine.

Read result

Read the result and the formula below it.

When to use this

Every percent problem comes down to choosing the base (the 100%). When in doubt, check what the denominator is.

Checking the real discount when a coupon stacks on a sale

Working out the discount rate from two prices

Measuring year-over-year growth in pay, sales, or prices

Finding what percent a score or progress represents

Percent formulas

Every formula comes down to ratio = part ÷ base × 100.

Formulas
GoalFormulaExample
B% of AA × B ÷ 10015% of 200,000 = 30,000
A is what % of BA ÷ B × 10036 is 30% of 120
Percent change(new − old) ÷ old × 10050,000 → 65,000 = +30%
Sale priceprice × (1 − rate ÷ 100)89,000 at 30% off = 62,300
Discount rate(price − sale) ÷ price × 100129,000 → 99,000 = 23.26%
Stacked discount1 − (1 − a)(1 − b)20% then 10% = 28%

Frequently asked questions

How do I calculate a percentage?

Divide the part by the whole and multiply by 100. 36 out of 120 is 36 ÷ 120 × 100 = 30%.

Do stacked discounts add up?

No. 30% off then 10% off is 37% off in total, because the second discount applies to the already-reduced price.

What is a percentage point?

The difference between two percentages. Going from 40% to 45% is a 5 percentage-point rise, or a 12.5% increase.