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Percentage formulas

9 formulas for Percentage, from the Arithmetic & Quantitative Aptitude section of the Quantix formula library. Tap 🧮 next to a formula to solve it for any variable with step-by-step working.

NameFormulaNote
Percentagex% of N = x · N / 100
Percentage change(New − Old) / Old × 100
Increase by x%New = Old × (1 + x/100)
Decrease by x%New = Old × (1 − x/100)
Successive changeNet % = x + y + xy/100use negative for decrease
Price rises x%, keep expense sameReduce consumption by x/(100 + x) × 100 %
A is x% more than BB is x/(100 + x) × 100 % less than A
Population after n yearsP(1 + r/100)ⁿ
Depreciation after n yearsP(1 − r/100)ⁿ

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Related: Arithmetic & Quantitative Aptitude