DayCents

Budgeting & Income

Percentage Calculator

The everyday percentage questions in one place. Pick a mode — a percent of a number, one number as a percent of another, or the percent change between two numbers — enter your values, and get the answer instantly.

15% of 200

30

Percent (X)
15%
Of (Y)
200

How this calculator works

Three formulas: X% of Y = (X ÷ 100) × Y; X is what percent of Y = (X ÷ Y) × 100; percent change from X to Y = ((Y − X) ÷ X) × 100. Division-by-zero cases (a zero whole or starting value) return 0 rather than an error.

A pure arithmetic tool — no money units or rounding assumptions. It handles negative numbers, so you can measure changes that cross zero.

Try an example

Frequently asked questions

How do I calculate a percentage of a number?

Multiply the number by the percentage divided by 100. To find 15% of 200: 200 × (15 ÷ 100) = 30. The 'What is X% of Y' mode above does this — useful for tips, discounts, commissions, and tax.

How do I find what percentage one number is of another?

Divide the part by the whole and multiply by 100. If you scored 25 out of 200, that's 25 ÷ 200 × 100 = 12.5%. Use the 'X is what percent of Y' mode for grades, savings rates, or progress toward a goal.

How do I calculate percent increase or decrease?

Subtract the old value from the new, divide by the old value, and multiply by 100. From 100 to 150 is (150 − 100) ÷ 100 × 100 = 50% increase; from 150 to 100 is a 33.3% decrease. Note that a 50% rise followed by a 50% fall does not return you to the start.

Why isn't a 50% gain cancelled by a 50% loss?

Because each percentage applies to a different base. $100 up 50% is $150; $150 down 50% is $75 — not $100. This asymmetry matters a lot in investing, where a 50% loss needs a 100% gain to recover.

Disclaimer: DayCents provides this calculator for educational purposes only. Results are estimates based on your inputs and the stated assumptions — they are not financial advice, a quote, or an offer of credit. Consult a qualified financial professional before making major money decisions.