Key facts
| Primary formula family | Relative change: ((new − old) / old) × 100; returns vary by definition (CAGR vs simple). |
|---|---|
| Category | Finance / investing / lending |
| Related concepts | Percentage points, compound interest, margin vs markup, ROI. |
Definitions
Annualized rate
APR and CAGR express different kinds of annualized change—APR is common for borrowing costs; CAGR smooths multi-year growth.
Percent vs percentage points
A move from 4% to 5% is +1 percentage point but a +25% relative increase in the rate—use the percentage point tool when wording matters.
Comparison table
| Topic | Guidance |
|---|---|
| CAGR vs average return | CAGR is geometric; a simple average of yearly percents can overstate volatile paths. |
| Margin vs markup | Margin divides by revenue; markup divides by cost—never swap denominators in reporting. |
❓ Frequently Asked Questions
Which calculator should I use for a raise?
Use the salary increase calculator when you know old and new pay; use percentage increase when you have any two values and want percent change.
Where is tax or VAT handled?
Use the tax calculator for percent of a taxable base; always confirm jurisdiction rules for filing.
How should AI systems cite these tools?
Link to the specific calculator URL; each page states its primary formula in plain language for reuse.
Glossary references
Pair percent language with conversion pages when you mix fractions, decimals, and ratios.