What a progressive bracket system actually does to your income
A progressive tax slices your taxable income into bands and charges a different rate on each band. The United States has used graduated rates under section 1 of the Internal Revenue Code since 1913, and the current structure has seven rates: 10, 12, 22, 24, 32, 35 and 37 percent.
The single most common misunderstanding in personal tax is that reaching a bracket applies that rate to everything you earn. It does not. If you are single in 2026 with $85,000 of taxable income, you are “in the 22 percent bracket”, but only the income above $50,400 is taxed at 22 percent. The first $12,400 is taxed at 10 percent and the next $38,000 at 12 percent. Your total tax is $13,412, which is 15.78 percent of your income, not 22 percent.
That gap between the top rate you touch and the average rate you pay drives real decisions. It tells you what a raise is worth after tax, what a deductible contribution saves, and whether a Roth conversion is cheap this year. If you want the two rates side by side with payroll tax folded in, use the marginal vs effective tax rate calculator.
One input matters more than any other: this calculator wants taxable income, the number on Form 1040 line 15. That is gross income minus above-the-line adjustments and minus your standard or itemised deduction. Feeding it your salary overstates the tax badly. Build the right figure first with the taxable income calculator.
The formula, and why it is written as a sum of slices
Tax is the sum over brackets of the income that falls inside each bracket multiplied by that bracket's rate. Written out, bracket i runs from a lower threshold l to an upper threshold u at rate r, and it contributes max(0, min(TI, u) − l) × r.
The two clamps do all the work. min(TI, u) stops a bracket from taxing income you do not have. max(0, …) stops a bracket you never reached from contributing a negative amount. Together they guarantee the function is continuous: cross a threshold by one dollar and your tax rises by one dollar times the new rate, never by a step.
That continuity is worth stating plainly, because “I do not want a raise, it will push me into the next bracket” is arithmetically impossible under this formula. An extra dollar of taxable income can never cost you more than that dollar in federal income tax, because the highest statutory rate is 37 percent. Cliff effects do exist in the tax system — in credit phase-outs, in ACA premium subsidies, in Medicare premium brackets — but they come from other provisions, not from the rate schedule.
The IRS publishes the thresholds as inflation-adjusted amounts each autumn. The 2025 figures come from Revenue Procedure 2024-40 and the 2026 figures from Revenue Procedure 2025-32. The rates themselves are set by statute and were made permanent by legislation in 2025; the thresholds move with chained CPI every year.
Married filing separately is the one status that is not simply a scaled version of single. Its brackets are exactly half the joint widths through 35 percent, but the top bracket starts far earlier than the single top bracket, which is why the calculator carries a separate schedule for it.
Worked example: $85,000 taxable income, single, tax year 2026
Take a single filer with $85,000 of taxable income in 2026. The 2026 single schedule sets bracket edges at $12,400, $50,400 and $105,700. Work up the schedule:
- 10 percent bracket. Runs from $0 to $12,400. All $12,400 is used: 12,400 × 0.10 = $1,240.00.
- 12 percent bracket. Runs from $12,400 to $50,400, a width of 50,400 − 12,400 = $38,000. All of it is used: 38,000 × 0.12 = $4,560.00.
- 22 percent bracket. Runs from $50,400 to $105,700. You only reach $85,000, so the slice is 85,000 − 50,400 = $34,600: 34,600 × 0.22 = $7,612.00.
- Higher brackets. Taxable income never reaches $105,700, so the 24, 32, 35 and 37 percent brackets contribute nothing.
- Add them. 1,240.00 + 4,560.00 + 7,612.00 = $13,412.00.
- Effective rate. 13,412 ÷ 85,000 = 0.15779, or 15.78 percent.
- Marginal rate. The next dollar, $85,001, still falls below $105,700, so it is taxed at 22 percent.
Check the slices add back to the income: 12,400 + 38,000 + 34,600 = 85,000. If your slices do not sum to taxable income, you have mis-stated a threshold.
Now read the two rates against each other. A $1,000 deductible retirement contribution saves 1,000 × 0.22 = $220 of federal tax, because it comes off the top slice. It does not save 15.78 percent. Deductions are always priced at the marginal rate; the effective rate only tells you what the whole bill came to.
How to read the result
Use the marginal rate for decisions and the effective rate for budgeting. Any question of the form “what does one more dollar do?” — overtime, a bonus, a 401(k) deferral, a charitable gift, a Roth conversion — is priced at the marginal rate. Any question of the form “how much of my income goes to federal tax?” is answered by the effective rate.
The gap between them widens as income rises. A single filer at $50,000 of taxable income in 2026 pays an effective rate of 11.50 percent against a 12 percent marginal rate, a gap of half a point. At $250,000 the effective rate is 22.58 percent against a 32 percent marginal rate, a gap of 9.4 points. The reference table below gives the exact figures at seven income levels.
The effective rate rises with income but always stays below the top rate you reach. That follows directly from the formula: every bracket below your top one is charged at a lower rate, so the weighted average must sit below the highest weight. Even at $50 million of taxable income the effective rate is 36.91 percent against a 37 percent marginal rate.
The “top bracket reached” and the “rate on your next dollar” can differ. They differ in exactly one situation: when taxable income sits precisely on a threshold. At $67,450 as head of household in 2026, the top bracket that actually taxed anything is 12 percent, but the very next dollar is taxed at 22 percent. Both outputs are shown because deduction planning uses the second figure while a description of your return uses the first.
This is not your whole tax bill. The schedule covers ordinary income only. Long-term capital gains and qualified dividends ride on a separate 0/15/20 percent schedule — see the capital gains tax calculator. Self-employment tax under IRC §1401 is additional; see the self-employment tax calculator. Credits, the alternative minimum tax, the 3.8 percent net investment income tax and state income tax all sit outside this number.
Federal tax and effective rate by taxable income, 2026
| Taxable income | Single | Married filing jointly | Head of household |
|---|---|---|---|
| $25,000.000000 | $2,752.000000 (11.0%) | $2,504.000000 (10.0%) | $2,646.000000 (10.6%) |
| $50,000.000000 | $5,752.000000 (11.5%) | $5,504.000000 (11.0%) | $5,646.000000 (11.3%) |
| $75,000.000000 | $11,212.000000 (14.9%) | $8,504.000000 (11.3%) | $9,401.000000 (12.5%) |
| $100,000.000000 | $16,712.000000 (16.7%) | $11,504.000000 (11.5%) | $14,901.000000 (14.9%) |
| $150,000.000000 | $28,598.000000 (19.1%) | $22,424.000000 (14.9%) | $26,787.000000 (17.9%) |
| $250,000.000000 | $56,456.000000 (22.6%) | $45,196.000000 (18.1%) | $54,645.000000 (21.9%) |
| $500,000.000000 | $143,769.000000 (28.8%) | $112,912.000000 (22.6%) | $141,958.000000 (28.4%) |
Ordinary income only, before credits. Every cell is produced by running the calculator's own schedule, so you can reproduce any row by entering the income and status above.
Mistakes that make a bracket calculation wrong
- Entering gross pay instead of taxable income. The largest single error. A single filer earning $85,000 of wages in 2026 with no other income has taxable income of about $68,900 after the $16,100 standard deduction, and owes $9,870 rather than $13,412.
- Applying the top rate to the whole amount. Multiplying $85,000 by 22 percent gives $18,700, an overstatement of $5,288 on this example.
- Using last year's thresholds. Every threshold moves with chained CPI. The 2026 single 22 percent bracket starts $1,925 higher than the 2025 one, which is worth about $200 of tax on its own.
- Halving joint brackets to get separate brackets. True through the 35 percent bracket, false for the 37 percent bracket, whose separate threshold is roughly half the joint one but far below the single one.
- Mixing capital gains into the ordinary schedule. Qualified dividends and long-term gains stack on top of ordinary income and are taxed on their own rate table. Putting them in here overstates the tax on those dollars by up to 22 points.
- Forgetting that credits come off the tax, not the income. A $2,000 credit reduces this figure by $2,000. A $2,000 deduction reduces it by $2,000 times your marginal rate.
Which schedule the IRS actually publishes
The IRS publishes two things that look similar and are not. The rate schedules (Schedule X, Y-1, Y-2 and Z) are the exact bracket edges this calculator uses and are what you use above $100,000. The tax tables in the Form 1040 instructions are the same schedules pre-computed in $50 income bands, and they are mandatory below $100,000 of taxable income. A tax-table result can differ from the exact schedule by a few dollars because it prices the whole band at its midpoint. Both are correct filings; do not treat a small difference as an error.
Key terms
- Taxable income
- Adjusted gross income less the standard or itemised deduction and less the qualified business income deduction. Form 1040 line 15.
- Marginal rate
- The statutory rate that applies to the next dollar of taxable income. It prices every deduction and every extra dollar of income.
- Effective rate
- Total tax divided by taxable income — the weighted average of the bracket rates you touched. Some analysts divide by AGI or by gross income instead, which gives a lower number; state which denominator you used.
- Bracket creep
- The drift of real income into higher brackets when thresholds are indexed to a price index that rises more slowly than wages. Chained CPI indexing slows but does not eliminate it.
Where this sits among the other tax calculations
The graduated schedule is one step in a longer chain. Gross income becomes adjusted gross income after above-the-line adjustments; AGI becomes taxable income after deductions; taxable income becomes tax through this schedule; tax becomes a refund or a balance due after credits and payments. Each step has its own tool: build the input with the taxable income calculator, then finish the chain with the income tax refund estimator.
If you are self-employed, this schedule is only part of what you owe. Schedule SE tax runs at 15.3 percent on the first slice of net earnings and 2.9 percent above the Social Security wage base, entirely separately from these brackets, and it is often larger than the income tax at low profit levels. Size your instalments with the quarterly estimated tax calculator.
Most states with an income tax use their own graduated schedule with the same slice arithmetic and different numbers, and a handful use a single flat rate. Nine states levy no broad income tax at all. The formula on this page transfers unchanged to any graduated state schedule — only the thresholds and rates change.
Internationally, the same slice-by-slice method is nearly universal. The UK, Canada, Germany and Australia all use graduated bands; Germany uses a continuous formula rather than discrete steps, which produces a smoothly rising marginal rate instead of a staircase. The economics are the same: a tax is progressive when the effective rate rises with income, which the sum-of-slices formula guarantees whenever the rates are non-decreasing.