Percent Calculator

Setup

What is 35% of 80?

Percent (P)

Number (N)

Answer = N × P ÷ 100

Examples

From 50 to 65 → ?% change

Old Value (V₁)

New Value (V₂)

Change% = (V₂ − V₁) ÷ V₁ × 100

Examples

40% of what number is 28?

Percent (P)

Result (N)

X = N ÷ (P ÷ 100) = N × 100 ÷ P

Examples

$120 at 25% off → sale price?

Mode

Original → Sale Sale → Original

Original Price ($)

Discount %

Sale Price = Original × (1 − Discount%/100)

Sale Price ($)

Discount %

Original = Sale Price ÷ (1 − Discount%/100)

Examples

Result

Enter values above and press Calculate to see the answer with step-by-step work.

Answer

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Equation Used

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Proportion Check

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Three Percent Types

% of → multiply: N × P/100 % change → (New − Old)/Old × 100 Reverse % → N ÷ (P/100)

Percent of a number: Multiply. "35% of 80" → 0.35 × 80 = 28.

Percent change: Find the difference, divide by the original, multiply by 100. Positive = increase; negative = decrease.

Reverse percent: Divide instead of multiply. If 40% of X is 28, then X = 28 ÷ 0.40 = 70.

Percent Tips

Use these shortcuts to check your work mentally:

Percent literally means "per hundred." P% = P/100. Keep that fraction in mind and all three types follow naturally.