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Table 1From “Average revenue per user is a defined ratio, not customer value”
The ARPU boundary worksheet
The same revenue can produce different ARPU values when eligible users or cohort boundaries change.
Table 1The ARPU boundary worksheet
| Metric object | Numerator under named metric | User denominator | Period or cohort | Synthetic arithmetic | What it cannot answer |
|---|---|---|---|---|---|
| All-user ARPU | EUR 48,000 net recurring revenue | 1,000 eligible users | One declared month | EUR 48,000 / 1,000 = EUR 48 | Whether users are profitable or retained |
| Paying-user ARPU | EUR 48,000 net recurring revenue | 600 eligible paying users | Same month, narrower denominator | EUR 48,000 / 600 = EUR 80 | Whether eligibility changed the comparison |
| Cohort A ARPU | EUR 24,000 net recurring revenue | 400 users in Cohort A | Same month, fixed entry event | EUR 24,000 / 400 = EUR 60 | Why Cohort A has a different mix |
| Cohort B ARPU | EUR 24,000 net recurring revenue | 600 users in Cohort B | Same month, fixed entry event | EUR 24,000 / 600 = EUR 40 | Whether age or acquisition route caused the gap |
| Cross-buying line | EUR 8,000 additional product revenue | 1,000 eligible users | Same month and base population | EUR 8,000 / 1,000 = EUR 8 | Whether the line increased contribution or retention |
| Contribution per eligible user, not ARPU | EUR 30,000 contribution after declared costs | 1,000 eligible users | Same month and base population | EUR 30,000 / 1,000 = EUR 30 contribution per eligible user | Whether it can be compared with ARPU or whether the cost boundary is complete |
Swipe or scroll horizontally if the table is wider than your screen.
Source: Author's synthetic ARPU worksheet grounded in Kumar, George, and Pancras (2008) and Kamakura (2008). Revenue, user counts, and ratios are illustrative arithmetic, not company data or benchmarks.
PNG4:3, 1600 × 1200, with the title, the source line and the attribution set in the image isoglu-2026-average-revenue-per-user-is-a-defined-ratio-fig01.png
Source and evidence
Each line names a claim related to this exhibit, its source, and how it was checked.
- B A verified against the printed page of the primary sourceB primary source, text layer onlyC authoritative secondaryD reported Kumar, George, and Pancras describe cross-buying as a way existing customers can contribute revenue across products and study drivers and consequences in a retail setting: "cross-buying by consumers enables retailers to cross-sell their products and increase revenue contribution from existing customers"Kumar et al. (2008), full-text extract held
- B A verified against the printed page of the primary sourceB primary source, text layer onlyC authoritative secondaryD reported Their cross-buying result is a retail customer-behaviour study, not a universal ARPU benchmark or a general SaaS growth law: "for studying the drivers of cross-buy in a non-contractual setting, we define cross-buy as the total number of different product categories that a customer has purchased from a firm from the time of first purchase"Kumar et al. (2008), full-text extract held
- B A verified against the printed page of the primary sourceB primary source, text layer onlyC authoritative secondaryD reported Kamakura frames cross-selling as offering an additional product to the right customer and links the strategy to share of wallet, relationship breadth, and retention questions: "increasing the firm’s share of the customer wallet, broadening the scope of the relationship with the customer, and increasing customer retention"Kamakura (2008), full-text extract held
- B A verified against the printed page of the primary sourceB primary source, text layer onlyC authoritative secondaryD reported Analytical targeting can identify cross-selling prospects, but a prospect score is not the same object as realised revenue per user: "a review of some of the analytical tools for identifying prospects for cross-selling"Kamakura (2008), full-text extract held
- B A verified against the printed page of the primary sourceB primary source, text layer onlyC authoritative secondaryD reported ARPU is revenue under a declared numerator boundary divided by eligible users under a declared denominator boundary for a named period or cohortAuthor metric definition
- B A verified against the printed page of the primary sourceB primary source, text layer onlyC authoritative secondaryD reported A usable ARPU record states whether revenue is gross, net, invoiced, collected, recurring, or another defined amount and which users are eligibleAuthor metric framework
- B A verified against the printed page of the primary sourceB primary source, text layer onlyC authoritative secondaryD reported ARPU can describe average monetization under a stable boundary, but it does not by itself measure customer value, margin, retention, or causal product performanceAuthor negative boundary
- B A verified against the printed page of the primary sourceB primary source, text layer onlyC authoritative secondaryD reported Cohort entry, plan mix, geography, acquisition route, user definition, and maturity can change ARPU without a change in the underlying offerAuthor measurement framework
- B A verified against the printed page of the primary sourceB primary source, text layer onlyC authoritative secondaryD reported Cross-buying and cross-selling are behaviour and offer objects that can contribute to ARPU, but neither is interchangeable with the ratioAuthor taxonomy
- B A verified against the printed page of the primary sourceB primary source, text layer onlyC authoritative secondaryD reported ARPU should be read beside the eligible-user count, revenue bridge, contribution boundary, and cohort composition rather than as a standalone targetAuthor operating framework
- B A verified against the printed page of the primary sourceB primary source, text layer onlyC authoritative secondaryD reported The ARPU comparison table is synthetic and illustrative; its values are arithmetic examples, not company data or benchmarksAuthor synthetic object
- B A verified against the printed page of the primary sourceB primary source, text layer onlyC authoritative secondaryD reported A change in ARPU after a definition, pricing, mix, or eligibility change is descriptive until the changed mechanism and comparison window are declaredAuthor causal boundary
From the essay
Growth that compounds
Average revenue per user is a defined ratio, not customer value
ARPU is declared revenue divided by eligible users for a period or cohort. It only means what its numerator and denominator allow.
Read the essayThis exhibit belongs to an essay: the numbers live here, the argument lives there.
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