logic.codes

Percentage Calculator

What is X % of Y, what percent is X of Y, or what is the percent change?

Single calculationv1.0.0Verified 2026-11-01Runs in your browser

Spec sheet

percent_basic · v1.0.0
Method

Percent arithmetic

  1. 01X % of Y = X ÷ 100 × Y
  2. 02X is what % of Y = X ÷ Y × 100
  3. 03% change = (new − old) ÷ |old| × 100
  4. 04Y ± X % = Y × (1 ± X ÷ 100)
Limits — read before relying on it
  • Percent change is undefined when the starting value is 0.
Sources
  • Elementary percentage arithmeticformula

Worked example

computed by the same formula

15 % of 200

Inputs
Calculate
X % of Y
X
15
Y
200
Result
Result
30
Calculation
15 % of 200 = 30

Questions

How is the percentage calculated?

›

Percent arithmetic. X % of Y = X ÷ 100 × Y · X is what % of Y = X ÷ Y × 100 · % change = (new − old) ÷ |old| × 100 · Y ± X % = Y × (1 ± X ÷ 100)

Example: 15 % of 200?

›

Result: 30; calculation: 15 % of 200 = 30.

Is percent change the same as percentage points?

›

No. Going from 10 % to 15 % is a change of 5 percentage points, but a 50 % percent change.

What does this calculator not cover?

›

Percent change is undefined when the starting value is 0.

Where do the numbers come from?

›

Sources: Elementary percentage arithmetic. The formula is versioned (percent_basic v1.0.0) and covered by automated tests.

Is my data stored?

›

No. The calculation runs in your browser and nothing is sent unless you choose to save a shareable link.

Also searched aspercentage calculator · what is 15 percent of 200 · percent change · percentage increase · what percent of · percent off · calculate percentage

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