# Double-entry bookkeeping system

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Double-entry bookkeeping, in accounting, is a system of bookkeeping so named because every entry to an account requires a corresponding and opposite entry to a different account. The double entry has two equal and corresponding sides known as debit and credit. The left-hand side is debit and right-hand side is credit. For instance, recording a sale of $100 might require two entries: a debit of$100 to an account named "Cash" and a credit of \$100 to an account named "Revenue."[further explanation needed]

${\displaystyle {\text{Assets}}={\text{Equity}}+{\text{Liabilities}}}$

is an error detection tool; if at any point the sum of debits for all accounts does not equal the corresponding sum of credits for all accounts, an error has occurred. However, satisfying the equation does not guarantee that there are no errors; the ledger may still "balance" even if the wrong ledger accounts have been debited or credited.

## History

Double-entry bookkeeping was pioneered in the Jewish community of the early-medieval Middle East.[1] Jewish bankers in Old Cairo, for example, used a double-entry bookkeeping system which predated the known usage of such a form in Italy, and whose records remain from the 11th century AD. It has been hypothesized that Italian merchants likely learned the method from their interaction with ancient Indian merchants from the sea trade, the double-entry system was founded on a "Jama - Nama" system which had debits and credits in a reverse order.[2] The oldest European record of a complete double-entry system is the Messari (Italian: Treasurer's) accounts of the Republic of Genoa in 1340. The Messari accounts contain debits and credits journalised in a bilateral form, and include balances carried forward from the preceding year, and therefore enjoy general recognition as a double-entry system.[3] By the end of the 15th century, the bankers and merchants of Florence, Genoa, Venice and Lübeck used this system widely.

However, the double-entry accounting method was said to be developed independently earlier in Korea during the Goryeo dynasty (918–1392) when Kaesong was a center of trade and industry at that time. The Four-element bookkeeping system was said to be originated in the 11th or 12th century.[4][5][6]

The earliest extant accounting records that follow the modern double-entry system in Europe come from Amatino Manucci, a Florentine merchant at the end of the 13th century.[7] Manucci was employed by the Farolfi firm and the firm's ledger of 1299-1300 evidences full double-entry bookkeeping. Giovannino Farolfi & Company, a firm of Florentine merchants headquartered in Nîmes, acted as moneylenders to the Archbishop of Arles, their most important customer.[8] Some sources[which?] suggest that Giovanni di Bicci de' Medici introduced this method for the Medici bank in the 14th century.

Ragusan economist Benedetto Cotrugli's 1458 treatise Della mercatura e del mercante perfetto contained the earliest known description of a double-entry bookkeeping system, but his manuscript was not officially published until 1573.[9][10]

Luca Pacioli, a Franciscan friar and collaborator of Leonardo da Vinci, first codified the system in his mathematics textbook Summa de arithmetica, geometria, proportioni et proportionalità published in Venice in 1494.[11] Pacioli is often called the "father of accounting" because he was the first to publish a detailed description of the double-entry system, thus enabling others to study and use it.[12][13][14]

In pre-modern Europe, double-entry bookkeeping had theological and cosmological connotations, recalling "both the scales of justice and the symmetry of God's world".[15]

## Accounting entries

In the double-entry accounting system, at least two accounting entries are required to record each financial transaction. These entries may occur in asset, liability, equity, expense, or revenue accounts. Recording of a debit amount to one or more accounts and an equal credit amount to one or more accounts results in total debits being equal to total credits for all accounts in the general ledger. If the accounting entries are recorded without error, the aggregate balance of all accounts having Debit balances will be equal to the aggregate balance of all accounts having Credit balances. Accounting entries that debit and credit related accounts typically include the same date and identifying code in both accounts, so that in case of error, each debit and credit can be traced back to a journal and transaction source document, thus preserving an audit trail. The accounting entries are recorded in the "Books of Accounts". Regardless of which accounts and how many are impacted by a given transaction, the fundamental accounting equation of assets equal liabilities plus capital will hold.

## Approaches

There are two different ways to memorize the effects of debits and credits on accounts in the double entry system of bookkeeping. They are the Traditional Approach and the Accounting Equation Approach. Irrespective of the approach used, the effect on the books of accounts remains the same, with two aspects (debit and credit) in each of the transactions.

Following the Traditional Approach (also called the British Approach) accounts are classified as real, personal, and nominal accounts.[16] Real accounts are accounts relating to assets and liabilities including the capital account of the owners. Personal accounts are accounts relating to persons or organisations with whom the business has transactions and will mainly consist of accounts of debtors and creditors. Nominal accounts are revenue, expenses, gains, and losses. Transactions are entered in the books of accounts by applying the following golden rules of accounting:

1. Real account: Debit what comes in and credit what goes out.
2. Personal account: Debit the receiver and credit the giver.
3. Nominal account: Debit all expenses & losses and credit all incomes & gains[17][18]

### Accounting equation approach

This approach is also called the American approach. Under this approach transactions are recorded based on the accounting equation, i.e., Assets = Liabilities + Capital.[16] The accounting equation is a statement of equality between the debits and the credits. The rules of debit and credit depend on the nature of an account. For the purpose of the accounting equation approach, all the accounts are classified into the following five types: assets, liabilities, income/revenues, expenses, or capital gains/losses.

If there is an increase or decrease in a set of accounts, there will be equal decrease or increase in another set of accounts. Accordingly, the following rules of debit and credit hold for the various categories of accounts:

1. Assets Accounts: debit entry represents an increase in assets and a credit entry represents a decrease in assets.
2. Capital Account: credit entry represents an increase in capital and a debit entry represents a decrease in capital.
3. Liabilities Accounts: credit entry represents an increase in liabilities and a debit entry represents a decrease in liabilities.
4. Revenues or Incomes Accounts: credit entry represents an increase in incomes and gains, and debit entry represents a decrease in incomes and gains.
5. Expenses or Losses Accounts: debit entry represents an increase in expenses and losses, and credit entry represents a decrease in expenses and losses.

These five rules help learning about accounting entries and also are comparable with traditional (British) accounting rules.

## Books of accounts

Each financial transaction is recorded in at least two different nominal ledger accounts within the financial accounting system, so that the total debits equals the total credits in the general ledger, i.e. the accounts balance. This is a partial check that each and every transaction has been correctly recorded. The transaction is recorded as a "debit entry" (Dr) in one account, and a "credit entry" (Cr) in a second account. The debit entry will be recorded on the debit side (left-hand side) of a general ledger account, and the credit entry will be recorded on the credit side (right-hand side) of a general ledger account. If the total of the entries on the debit side of one account is greater than the total on the credit side of the same nominal account, that account is said to have a debit balance.

Double entry is used only in nominal ledgers. It is not used in daybooks (journals), which normally do not form part of the nominal ledger system. The information from the daybooks will be used in the nominal ledger and it is the nominal ledgers that will ensure the integrity of the resulting financial information created from the daybooks (provided that the information recorded in the daybooks is correct).

The reason for this is to limit the number of entries in the nominal ledger: entries in the daybooks can be totalled before they are entered in the nominal ledger. If there are only a relatively small number of transactions it may be simpler instead to treat the daybooks as an integral part of the nominal ledger and thus of the double-entry system.

However, as can be seen from the examples of daybooks shown below, it is still necessary to check, within each daybook, that the postings from the daybook balance.

The double entry system uses nominal ledger accounts. From these nominal ledger accounts a trial balance can be created. The trial balance lists all the nominal ledger account balances. The list is split into two columns, with debit balances placed in the left hand column and credit balances placed in the right hand column. Another column will contain the name of the nominal ledger account describing what each value is for. The total of the debit column must equal the total of the credit column.

## Debits and credits

Double-entry bookkeeping is governed by the accounting equation. If revenue equals expenses, the following (basic) equation must be true:

assets = liabilities + equity

For the accounts to remain in balance, a change in one account must be matched with a change in another account. These changes are made by debits and credits to the accounts. Note that the usage of these terms in accounting is not identical to their everyday usage. Whether one uses a debit or credit to increase or decrease an account depends on the normal balance of the account. Assets, Expenses, and Drawings accounts (on the left side of the equation) have a normal balance of debit. Liability, Revenue, and Capital accounts (on the right side of the equation) have a normal balance of credit. On a general ledger, debits are recorded on the left side and credits on the right side for each account. Since the accounts must always balance, for each transaction there will be a debit made to one or several accounts and a credit made to one or several accounts. The sum of all debits made in each day's transactions must equal the sum of all credits in those transactions. After a series of transactions, therefore, the sum of all the accounts with a debit balance will equal the sum of all the accounts with a credit balance.

Debits and credits are numbers recorded as follows:

• Debits are recorded on the left side of a T account in a ledger. Debits increase balances in asset accounts and expense accounts and decrease balances in liability accounts, revenue accounts, and capital accounts.
• Credits are recorded on the right side of a T account in a ledger. Credits increase balances in liability accounts, revenue accounts, and capital accounts, and decrease balances in asset accounts and expense accounts.
• Debit accounts are asset and expense accounts that usually have debit balances, i.e. the total debits usually exceed the total credits in each debit account.
• Credit accounts are revenue (income, gains) accounts and liability accounts that usually have credit balances.
Debit Credit
Asset Increase Decrease
Liability Decrease Increase
Income (revenue) Decrease Increase
Expense Increase Decrease
Capital Decrease Increase

The mnemonic DEADCLIC is used to help remember the effect of debit or credit transactions on the relevant accounts. DEAD: Debit to increase Expense, Asset and Drawing accounts and CLIC: Credit to increase Liability, Income and Capital accounts.

The account types are related as follows:
current equity = sum of equity changes across time (increases on the left side are debits, and increases on the right side are credits, and vice versa for decreases)
current equity = Assets - Liabilities
sum of equity changes across time = owner's investment (Capital above) + Revenues - Expenses

## Notes and references

1. ^ Parker, L. M., “Medieval Traders as International Change Agents: A Comparison With Twentieth Century International Accounting Firms,” The Accounting Historians Journal, 16(2) (1989): 107-118.
2. ^ J. R. Edwards (4 December 2013). A History of Financial Accounting (RLE Accounting). Routledge. p. 46. ISBN 978-1-134-67881-5.
3. ^ Lauwers, Luc; Willekens, Marleen (1994). "Five Hundred Years of Bookkeeping: A Portrait of Luca Pacioli" (PDF). Tijdschrift voor Economie en Management. Katholieke Universiteit Leuven. 39 (3): 289–304 [p. 300]. ISSN 0772-7674.
5. ^ Financial Reporting in the Pacific Asia Region edited by Ronald Ma
6. ^ A Global History of Accounting, Financial Reporting and Public Policy: Asia ... By Gary John Previts, Peter Wolnizer
7. ^ Lee, Geoffrey A. (1977). "The Coming of Age of Double Entry: The Giovanni Farolfi Ledger of 1299-1300". Accounting Historians Journal. 4 (2): 79–95. JSTOR 40697544.
8. ^ Lee (1977), p. 80.
9. ^ Zubrinic, Darko. "History of Croatian". Retrieved 26 December 2016.
10. ^ "SIESC Croatia 2". Retrieved 26 December 2016.
11. ^ Luca Pacioli: The Father of Accounting Archived 18 August 2011 at the Wayback Machine
12. ^ "La Riegola de Libro, Bookkeeping instructions from the mid-fifteenth century". Archived from the original on 29 December 2017. Retrieved 26 December 2016.
13. ^ Livio, Mario (2002). The Golden Ratio. New York: Broadway Books. pp. 130–131. ISBN 0-7679-0816-3.
14. ^ "Is this the most influential work in the history of capitalism?". bbc.com. 23 October 2017. Retrieved 23 October 2017.
15. ^ Poovey, Mary (1998). A History of the Modern Fact: Problems of Knowledge in the Sciences of Wealth and Society. University of Chicago Press. p. 54. ISBN 9780226675268. Retrieved 7 August 2014. In the late sixteenth-century [...] number still carried the pejorative connotations associated with necromancy [...]. [...] [D]ouble-entry bookkeeping helped confer cultural authority on numbers. It did so by means of the balance [...]. For late sixteenth-century readers, the balance conjured up both the scales of justice and the symmetry of God's world.
16. ^ a b Rajasekaran V. (1 September 2011). Financial Accounting. Pearson Education India. pp. 54–. ISBN 978-81-317-3180-2. Retrieved 7 April 2012.
17. ^ Accountancy: Higher Secondary First Year (PDF) (First ed.). Tamil Nadu Textbooks Corporation. 2004. pp. 28–34. Retrieved 12 July 2011.
18. ^ Edward M. Hyans (1916). Theory of accounts for accountant students. Universal Business Institute, Inc. pp. 17–. Retrieved 7 April 2012.