Why the two sides always match
Every set of accounts rests on one equation. Assets equal liabilities plus equity. This lesson follows eight events in a new shop and shows that the equation holds after each one, then checks it against a real company's balance sheet.
- Level
- Beginner
- Reading time
- About 21 minutes
- Know this first
- Assets, liabilities and equity
By the end you will be able to:
- write the accounting equation and explain each part
- show how any business event changes the equation without breaking it
- solve for a missing assets, liabilities or equity figure
- check the equation on a real company's balance sheet
One equation
Assets=Liabilities+Equity
Everything a business owns has to be paid for by someone. Either an outsider paid for it, which is a liability, or the owners paid for it, which is equity. So the total of what the business owns must equal the total of what it owes and what the owners have put in or kept. The two sides are two views of the same pile of value.
Watch it hold
Meena starts a new shop. Slide from the start to event 8, and watch the left side and the right side after each event. They change, and they always match. Equity here has two parts: money Meena put in, and profit that has been earned and kept.
Event 5 of 8. She sells stock that cost ₹60,000 to a school for ₹90,000, on credit. Stock falls by ₹60,000, the school owes her ₹90,000, and the ₹30,000 difference is profit, which belongs to her. Assets are ₹6,80,000, liabilities plus equity are ₹6,80,000.
Why it always balances
Every event touches at least two lines, and it touches them in a way that keeps the equation true. Accountants call this double entry. There are only a few shapes an event can take, and Meena's eight events show all of them.
| Shape | Example from above | Effect |
|---|---|---|
| One asset rises, another falls | Event 3: cash buys shelves | Total assets unchanged |
| An asset and a liability rise | Events 2 and 4: a loan, stock on credit | Both sides rise together |
| An asset and equity rise | Events 1 and 5: money put in, a profit | Both sides rise together |
| An asset and a liability fall | Events 6 and 7: a customer pays, Meena pays a supplier | Both sides fall together, or assets swap |
| An asset and equity fall | Event 8: rent paid | Both sides fall together |
Event 5 is the one to study. Selling stock that cost ₹60,000 for ₹90,000 makes the shop ₹30,000 better off. Stock falls by ₹60,000, the school's debt rises by ₹90,000, and the ₹30,000 difference lands in equity as profit. That is how the profit and loss account feeds the balance sheet: profit is added to equity, and a loss is taken off it.
A real company: Titan
If the equation is true for Meena, it must be true for Titan. Here are the three totals from its standalone balance sheet, in ₹ crore, taken straight from its filing.
| ₹ crore, as at 31 March | 2024 | 2023 |
|---|---|---|
| Total liabilities | 18,405 | 13,094 |
| Total equity | 14,457 | 11,994 |
| Liabilities plus equity | 32,862 | 25,088 |
| Total assets, as printed | 32,862 | 25,088 |
In 2024: ₹18,405 crore of liabilities plus ₹14,457 crore of equity gives ₹32,862 crore, which is Titan's total assets. A year earlier: ₹13,094 crore plus ₹11,994 crore gives ₹25,088 crore. The equation holds in both years, as it must.
Total assets grew by ₹7,774 crore in the year. The equation tells you how that growth was paid for. Liabilities rose by ₹5,311 crore and equity rose by ₹2,463 crore, and those two changes add to the rise in assets. So about 68% of the growth in what Titan owns was paid for by borrowing and other liabilities, and the rest by its owners' equity.
Equity rose by less than the year's profit. Titan's total comprehensive income for the year was ₹3,541 crore, but equity rose by only ₹2,463 crore. The difference of ₹1,078 crore is mostly money paid back to owners: dividends of ₹888 crore and ₹236 crore paid to acquire treasury shares, both taken from Titan's cash flow statement, less ₹46 crore of other additions to equity. Paying a dividend is not an expense. It is a return of equity to the owners, so it never appears in the profit and loss account. The lesson on how the three statements connect walks through this roll-forward step by step.
Finding the missing number
Because the equation always holds, any one missing figure can be found from the other two.
| Missing | Rearrangement | Example |
|---|---|---|
| Assets | Liabilities + Equity | ₹2,50,000 + ₹3,20,000 = ₹5,70,000 |
| Liabilities | Assets − Equity | ₹5,70,000 − ₹3,20,000 = ₹2,50,000 |
| Equity | Assets − Liabilities | ₹5,70,000 − ₹2,50,000 = ₹3,20,000 |
The equation in three large balance sheets
The equation, assets equal liabilities plus equity, holds in every company's accounts in every country, because the balance sheet is built so that it must. The table shows the latest balance sheets of Apple, Microsoft and Toyota and the last column subtracts liabilities from assets. In each case the answer matches the equity the company reports, down to the last million (Toyota's published figures differ by a million or two because of rounding).
| Latest balance sheet, millions | Assets | Liabilities | Equity | Assets less liabilities |
|---|---|---|---|---|
| Apple | $359,241 | $285,508 | $73,733 | $73,733 |
| Microsoft | $619,003 | $275,524 | $343,479 | $343,479 |
| Toyota | ¥93,601,350 | ¥56,722,437 | ¥36,878,913 | ¥36,878,913 |
Equity is the part of the equation that varies most between companies, and the next section looks at what it is made of.
What equity is made of
Apple. Equity of $73,733 million is made of $93,568 million paid in by shareholders and through share-based pay, less a deficit of $14,264 million in retained earnings, less $5,571 million of accumulated other comprehensive loss. A company that earns more than $100 billion a year has a negative retained earnings figure because Apple has paid out more than it has earned: in its latest year it spent $90,711 million on buying back its own shares and $15,421 million on dividends, together $106,132 million, against net income of $112,010 million.
The movement in equity over the year can be traced. It started at $56,950 million. Profit added $112,010 million, shareholder returns took $106,132 million, and other items added the remaining $10,905 million, which mostly reflects $12,863 million of shares given to employees as pay and a $1,601 million improvement in accumulated other comprehensive loss, net of smaller items. It ended at $73,733 million.
Microsoft. Equity is built from $109,095 million of paid-in capital and $237,731 million of retained earnings, less $3,347 million of accumulated other comprehensive loss. Retained earnings rose by $64,587 million over the year, although net income was $101,832 million. The difference of $37,245 million is mostly money handed back to shareholders: the company reports $42,502 million of share repurchases and dividends in its cash flow statement for the year. Repurchases are charged partly to paid-in capital and partly to retained earnings, so the two figures are close without being equal.
Toyota. Total equity is ¥36,878,913 million. ¥35,924,826 million of that belongs to the shareholders of Toyota Motor Corporation, mostly retained earnings of ¥35,841,218 million and accumulated other components of equity of ¥3,610,133 million, less ¥4,415,943 million of treasury stock, shares the company has bought back and not cancelled. The remaining ¥954,088 million, 2.6% of equity, is the non-controlling interest: the portion of consolidated subsidiaries owned by outside investors. Toyota consolidates a subsidiary in full, counting all its assets and liabilities in the equation, and the outside owners' share of that net asset value appears as a separate piece of equity.
Reading equity across systems
Equity looks different in different accounts without the equation changing. US filers tend to show "common stock and additional paid-in capital" as one line and keep "retained earnings" and "accumulated other comprehensive income" separate. IFRS filers often use "share capital", "capital surplus" and "other components of equity". Indian companies under Ind AS show "equity share capital" and "other equity", a heading that bundles reserves, retained earnings and other comprehensive income. All of these map back to the same idea: what shareholders put in, plus what the business has earned and kept, adjusted for items that bypass the income statement.
The "other comprehensive income" component deserves a note. Some changes in value, such as the translation of a foreign subsidiary's accounts into the parent's currency, go straight to equity without passing through profit. For Toyota that translation effect was a reduction of ¥827,848 million in the year, and it is the reason that a check of retained earnings alone will not explain the change in equity. The equation still balances, because the translation also changes the value of the assets and liabilities involved.
One practical lesson: an accumulated deficit, or retained earnings that look small, is not by itself a sign of trouble, as Apple shows. The more informative checks are how much cash the business generates and what it does with it.
Common mistakes
Recording only one side
If cash falls because rent was paid, something else has to change too: equity falls by the same amount. An event that touches only one line breaks the equation, which is why mistakes in books are often spotted when the sides stop matching.
Thinking a balanced sheet means correct books
The sides can match and still be wrong. Recording a ₹10,000 sale as ₹1,000 on both sides keeps the equation true while making the accounts wrong. A balance is a necessary check, not a sufficient one.
Treating a dividend as an expense
A dividend reduces equity directly. It is not a cost of running the business, so it does not reduce profit.
Forgetting that profit raises equity
After a profitable month, equity is higher even though the owner put in nothing new. If you add profit to cash without adding it to equity, the sides stop matching.
Try it yourself
1. A shop has assets of ₹8,00,000 and liabilities of ₹3,50,000. What is the owner's equity? The owner then puts in another ₹1,00,000 in cash. What are assets, liabilities and equity now?
Show the working
Equity is ₹8,00,000 − ₹3,50,000 = ₹4,50,000. After the extra ₹1,00,000, cash and equity both rise by that amount. Assets are ₹9,00,000, liabilities stay at ₹3,50,000 and equity is ₹5,50,000. Check: ₹3,50,000 + ₹5,50,000 = ₹9,00,000.
2. A business buys a machine for ₹2,00,000, paying ₹50,000 in cash and borrowing the rest from the bank. What changes?
Show the working
The machine adds ₹2,00,000 to assets and cash takes off ₹50,000, so assets rise by ₹1,50,000. The bank loan adds ₹1,50,000 to liabilities. Assets and liabilities plus equity both rise by ₹1,50,000. Equity does not change.
3. At the start of a year a company has assets of ₹10 crore and liabilities of ₹6 crore. During the year it makes a profit of ₹2 crore and pays no dividend. If its liabilities are unchanged at year end, what are its assets?
Show the working
Opening equity is ₹10 crore − ₹6 crore = ₹4 crore. Profit of ₹2 crore raises it to ₹6 crore. With liabilities of ₹6 crore, assets must be ₹6 crore + ₹6 crore = ₹12 crore.
4. Using Titan's figures: in 2023 equity was ₹11,994 crore and liabilities were ₹13,094 crore. What were total assets?
Show the working
₹13,094 crore + ₹11,994 crore = ₹25,088 crore, which matches the filing.
Where this is used
The equation is the first check an accountant runs, and the base on which every statement is built.
- A bookkeeper uses it to catch errors: if the sides do not match, something has been recorded wrongly or left out.
- A lender uses it to see how much of a business's assets are funded by borrowing and how much by its owners.
- An analyst uses it to trace how a year's profit, dividends and borrowing changed the funding of a company.
Key terms
- Accounting equation
- Assets = liabilities + equity.
- Double entry
- Recording every event in at least two places, so that the equation stays true.
- Capital
- Money the owners put into the business. Part of equity.
- Retained profit
- Profit the business has earned and kept rather than paid out. Part of equity.
- Dividend
- A payment of profit to shareholders. It reduces equity directly.
- Total comprehensive income
- Profit for the period plus certain other gains and losses that go straight to equity.
Questions people ask
Does the equation apply to every business?
Yes, from a street stall to a listed company. Only the number of lines grows.
Why do accountants say "debit" and "credit"?
Those are the labels for the two sides of each entry in the books. Debits and credits always total the same, which is how double entry keeps the equation true. This site does not need the labels yet, and later lessons introduce them gently.
Why does equity change when no one invests?
Because profit raises it and losses or dividends lower it. Equity is not fixed at what the owners paid in.
Is the equation the same as the balance sheet?
The balance sheet is the equation written out in full, with each of the three parts listed line by line.
Sources and review
- Titan Company Limited, audited standalone and consolidated financial results for the year ended 31 March 2024, filed with BSE. Source of the balance sheet totals and total comprehensive income.
- IFRS Foundation, Conceptual Framework for Financial Reporting, for the definitions of an asset, a liability and equity.
- Apple Inc., Form 8-K, Exhibit 99.1: fourth quarter and full-year fiscal 2025 results, filed with the US Securities and Exchange Commission. Source of Apple's statements.
- Microsoft Corporation, Form 8-K, Exhibit 99.1: fourth quarter and fiscal year 2025 results, filed with the US Securities and Exchange Commission. Source of Microsoft's statements.
- Toyota Motor Corporation, FY2025 Financial Summary (IFRS, unaudited, in millions of yen), furnished to the US Securities and Exchange Commission on Form 6-K. Source of Toyota's statements.
How the numbers were checked: Titan's liabilities were rebuilt from the printed lines, and in both years liabilities plus equity equal total assets. Meena's eight events were calculated and the equation was tested after each one.