Percentages (OCR GCSE Maths): Flashcards

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Percentages
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Definition of a percentage

A fraction whose denominator is 100

Formula to calculate a percentage

PartWhole×100\frac{\text{Part}}{\text{Whole}} \times 100

Convert fraction to percentage method

Multiply the fraction by 100

Convert percentage to fraction method

Divide by 100 and simplify

Convert percentage to decimal method

Divide the percentage by 100

Convert decimal to percentage method

Multiply the decimal by 100

Find percentage of amount steps

Convert % to decimal/fraction, then multiply by amount

Percentage change formula

NewOldOld×100\frac{\text{New} - \text{Old}}{\text{Old}} \times 100

Percentage increase formula

Original×(1+decimal)\text{Original} \times (1 + \text{decimal})

Percentage decrease formula

Original×(1decimal)\text{Original} \times (1 - \text{decimal})

Compound interest formula

P×(1+r100)nP \times (1 + \frac{r}{100})^n

Reverse percentage formula

Final(1±decimal)\frac{\text{Final}}{(1 \pm \text{decimal})}

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