GRE Quant · Chapter Test
Percentages — 25-Question Test
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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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