Module · Arithmetic & Number Properties
Chapter 6: Percentages
Arithmetic
5 topics
🎯 1 practice questions
What this chapter covers
The 5 topics below make up Percentages on the GRE. Click any topic to open its notes, examples and practice test.
1Percent Basics & Conversions
2Percentage Change
3Successive Percentage Change
4Reverse Percentages
5Percent Applications
Study material & tests
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Notes, worked examples and hint-guided practice for every topic.
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🎯 Topic tests
8 auto-graded questions per topic, pulled from the question bank.
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📝 Chapter test
25 fresh mixed-difficulty questions, timed, with full solutions.
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Formula Reference Sheet
This chapter
Core conversions & change
| Percent of a number | x% of N = (x/100) × N |
|---|---|
| Value as a percent | (Part / Whole) × 100 % |
| Percent change | (New − Old) / Old × 100 % |
| Increase by x% | N × (1 + x/100) |
| Decrease by x% | N × (1 − x/100) |
GRE power-tools
| Successive change a% then b% | net = a + b + ab/100 (%) |
|---|---|
| Reverse percent | Original = Final / (1 ± x/100) |
| A is x% more than B ⇒ B is | [x/(100+x)] × 100 % less than A |
| A is x% less than B ⇒ B is | [x/(100−x)] × 100 % more than A |
| Percent → decimal multiplier | 18% increase ⇒ × 1.18 |
GRE reference
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