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This seems like an easy topic, however I found a caveat in my understanding while solving questions. So I tried to deeply understand the nuances amongst the translation of these 3 topics. Here is an ultimate guide that brings together Percentage of, Percentage Comparison, and Percentage Change in one place
🚀 Ultimate Percentage Cheat Sheet
🔑 Quick Memory Hacks:
Hope this is helpful!
🚀 Ultimate Percentage Cheat Sheet
| Aspect | Percentage of 🌗 | Percentage Comparison ⚖️ | Percentage Change 🔄 |
|---|---|---|---|
| Purpose | Find a part of a whole | Compare two values (how much more/less) | Measure increase or decrease over time |
| Key Question | “What is X% of Y?” | “By what % is A more/less than B?” | “By what % did the value increase/decrease?” |
| Focus | Portion of a total | Difference between two values | Change from an original value |
| Formula | (Part/Whole)×100 OR X% of Y | (Difference/ Reference)×100 | (New−Old)/Old×100 |
| Reference Point | The whole (total amount) | The value after "than" (comparison base) | The original/old value (starting point) |
| Context | Discounts, tax, marks scored | Price comparisons, salary gaps | Stock price changes, population growth |
| Example | “What is 25% of 200?” → 50 | “How much more is 150 than 100?” → 50% | “Price increased from 100 to 150?” → 50% |
| Output Type | A specific value | A percentage difference | A percentage increase/decrease |
🔑 Quick Memory Hacks:
- “Of” = Portion of a Whole
- “Comparison” = Difference Between Two Values
- “Change” = Tracking Growth or Decline Over Time
Hope this is helpful!
Archit3110
Major Poster
11 Feb 2025, 05:27
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Not sure whether topic tagging is correct done...
12 Feb 2025, 23:55
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GMAT tests this concept very frequently, kudos for compiling it as a comprehensive table.
