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Result

The formula

Tax is the sum of each bracket’s rate applied only to income that falls inside that bracket. Effective rate = tax ÷ income × 100. Country-specific pages may use different band tables.

Tax = Σ(Bracket Rate × Taxable in Bracket) · Effective% = Tax ÷ Income × 100

Worked example

  1. Taxable income $60,000 (single, simplified US-style bands)
  2. 10% on first $11,600 ≈ $1,160
  3. 12% on income through the next band, then 22% on the remainder
  4. Sum bracket slices for total tax; divide by $60,000 for effective %

Result: Estimated tax and effective rate shown in the result panel

How the tax estimate works

Progressive systems tax slices of income at rising rates. Crossing into a higher bracket raises the rate on dollars above the threshold — not on every dollar you earned.

Bracket stacking

For each band [prev, limit], we tax min(income, limit) − prev at that band’s rate, then move to the next band until income is exhausted. The result is statutory tax before most real-world adjustments.

Filing status

On the default (US-style) table, “married” uses wider brackets than “single.” Head of household and other statuses are not modeled on this generic page — use a country page when available.

Country variants

If the page is scoped to a country (for example US or GB), the engine switches bracket tables or personal-allowance logic. Always read the country-specific methodology on those URLs.

What we do not model

Standard/itemized deductions, credits (EITC, child tax credit), AMT, NIIT, payroll taxes (Social Security/Medicare), state/local income tax, and treaty rules are omitted. Withholding is not the same as final liability.

Interesting facts

Progressive brackets

In progressive systems, higher rates apply only to income above each threshold — not to your entire salary. Crossing a bracket does not re-tax every dollar earned.

Deductions and credits

Real U.S. returns subtract deductions and apply credits (EITC, child tax credit, and more). Simple bracket calculators omit most of those details.

Marginal vs effective rate

Your marginal rate is the tax on the next dollar. Your effective rate is total tax divided by total income — usually much lower.

Withholding ≠ final bill

Paycheck withholding is an estimate. April’s refund or balance due reconciles what you prepaid versus what you actually owe.

Filing status matters

Single, married filing jointly, and head of household use different brackets and standard deductions — the same income can yield different tax.

Frequently asked questions

No. Use official tax software, IRS tools, or a tax professional for returns. This is a simplified illustration of progressive brackets.

Marginal rate is the rate on your next dollar of taxable income. Effective rate is total tax ÷ total income — almost always lower than your top marginal bracket.

Yes. Bracket widths differ for single vs married on the US-style table. Other statuses are not fully modeled here.

No. Those are separate payroll taxes. This estimate focuses on progressive income-tax brackets only.

See IRS guidance and publications for the tax year you care about — brackets and standard deductions are inflation-adjusted annually.

References

  1. IRS — Tax withholding estimator — Internal Revenue Service Official tool for paycheck withholding — closer to real filing than a toy bracket model.
  2. Understanding taxes — Internal Revenue Service Educational modules on how U.S. income tax works.
  3. Tax brackets overview — IRS — About Form 1040 Starting point for individual income tax forms and instructions.