University of Illinois Urbana-Champaign · FACULTY OF ACCOUNTING

ACCY 312 Chap.1 What a Tax Is and How Tax Rates Work

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Chapter 1 of 8 · ACCY 312

What a Tax Is and How Tax Rates Work

Three conditions make a payment a tax

The course opens with a working definition. A tax is a required payment, it is imposed by a government agency, and it is not tied directly to the benefit the payer receives. The third condition does the sorting.

A fee for a driver's license buys a specific privilege, so it is not a tax; a charge added to a hotel bill to fund city projects, or a percentage added to a car rental to pay for roads, is a tax because the payer gets nothing in particular for it. A taxpayer is any person or organisation the law requires to pay.

Governments tax for two reasons.

The first is revenue, to fund services such as education, defence, highways, police and the courts. The second is behaviour: a research credit rewards innovation and a so-called sin tax discourages smoking or drinking. Keeping both purposes in mind explains why the Internal Revenue Code is full of provisions that raise almost nothing.

One formula, three rate structures

Every tax is a base multiplied by a rate.

The base is what the tax is charged on, such as taxable income, the value of property or the price of a purchase; the rate is the percentage applied. A proportional or flat tax keeps the same rate at every base, as a sales tax does. A progressive tax raises the rate as the base grows, as the federal income tax does.

A regressive tax lowers the rate as the base grows; the course's example is the social security tax, whose wage cap means high earners pay a smaller share of total income.

Why three different rates

The same liability can be described three ways, and each answers a different question. The marginal rate is the rate on the next dollar and drives planning decisions.

The average rate is total tax over taxable income and suits budgeting. The effective rate is total tax over total income, including income the law excludes, and is the fairest way to compare burdens between taxpayers.

Public company filings report an effective rate, which is why a firm facing a 21% statutory federal rate can show a lower figure once credits and foreign earnings are counted.

Reading a rate schedule

The 2026 schedules are layered: each band shows a fixed tax on everything below it plus a rate on the excess.

For a single filer, income between $50,400 and $105,700 pays $5,800 plus 22% of the excess over $50,400. Pick the band that contains the income, subtract the band's floor, apply the band's rate and add the fixed amount. Never multiply total income by the top rate reached, which is the most common way to overstate a liability.

In this chapter

What this chapter covers

  • 01

    Definition of a tax and a taxpayer

  • 02

    Revenue and behavioural objectives

  • 03

    Tax equals base times rate

  • 04

    Proportional, progressive and regressive structures

  • 05

    Marginal, average and effective tax rates

  • 06

    Computing tax from a 2026 rate schedule

Worked example · free

Marginal rate when a raise crosses a bracket

Q [6 marks]. AskSia-authored practice. A single filer's 2026 taxable income rises from $44,000 to $54,000 after a promotion. Using the 2026 single schedule, compute the tax at each income, the marginal tax rate on the $10,000 increase and the new average tax rate. The marks shown are an AskSia study allocation, not an official University marking scheme.
Band by band.Band by band. The same $54,000 produces a 22% marginal rate but only a 12.21% average rate, because most of the income is taxed in the lower bands.$54,000 of single taxable income, filled band by band10% on $12,400 = $1,24012% on $38,000 = $4,56022% on $3,600 = $792$0$54,000Total $6,592: only the last $3,600 meets the 22% rate
Band by band. The same $54,000 produces a 22% marginal rate but only a 12.21% average rate, because most of the income is taxed in the lower bands.
  • 2Tax at $44,000 (12% band): $1,240 plus 12% of $31,600 is $5,032.
  • 2Tax at $54,000 (22% band): $5,800 plus 22% of $3,600 is $6,592.
  • 2Marginal rate: $1,560 more tax over $10,000 more income is 15.6%; average rate $6,592 over $54,000 is 12.21%.
The raise adds $1,560 of tax, so the marginal rate on this particular increase is 15.6%, a blend of 12% on the first $6,400 and 22% on the last $3,600. It is neither 12% nor 22%, because the increment straddles the $50,400 boundary. The new average rate is $6,592 divided by $54,000, or 12.21%, well below the 22% band the taxpayer has reached.
Sia tip — When a change crosses a bracket boundary, compute the tax at both incomes and divide the difference; reading one rate off the schedule gives the wrong marginal rate.
Glossary

Key terms

Tax
A required payment imposed by a government agency that is not tied directly to a benefit received by the payer.
Proportional Tax
A flat tax that applies the same rate at every level of the base, such as a sales tax.
Progressive Tax
A tax whose rate rises as the base increases, as the federal income tax does.
Regressive Tax
A tax whose rate falls as the base increases; the social security tax is the course's example.
Rate Schedule
A table of bands that states a fixed tax for each band plus a percentage of income above the band's floor.
FAQ

What a Tax Is and How Tax Rates Work FAQ

Why is a driver's license fee not treated as a tax?

The payment buys a specific privilege for the person who pays it. A tax must be unconnected to any direct benefit, which is why a hotel levy that funds general city projects qualifies while a license fee does not.

Which tax rate should I use to decide whether extra work is worthwhile?

Use the marginal rate, because the decision is about the next dollar earned. Average and effective rates describe the whole year's burden and understate what an extra dollar costs once you are in a higher band.

How can the effective rate be lower than the average rate?

The effective rate divides the same tax by a larger number, total economic income, which includes tax-exempt items such as municipal bond interest. Any excluded income pushes the effective rate below the average rate computed on taxable income.

Study strategy

Exam move

Take three incomes, one in each of the 12%, 22% and 24% single bands, and compute the tax by hand from the schedule. Then raise each by $5,000 and find the marginal rate from the change in tax, not from the table.

Working through What a Tax Is and How Tax Rates Work in ACCY 312? Sia is AskSia’s AI Accounting tutor — ask any ACCY 312 What a Tax Is and How Tax Rates Work question and get a clear, step-by-step explanation grounded in how ACCY 312 is taught and assessed. Read this chapter free, then take your hardest questions to Sia.

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