Card 1 of 8
MediumStudy card 1
Prompt
How do you find p percent of a quantity?
Answer
Multiply the quantity by p/100.
Percent of a quantity
\[p\%\text{ of }x=\frac{p}{100}x\]
MathProblem-Solving & Data Analysis
Flashcards
Percentages Flashcards
Recall percentage multipliers, change, reversal, and comparison traps.
Current card1 / 8
Session progress0 of 8 studied
Card 1 of 8. Answer hidden.
Card 2 of 8
MediumStudy card 2
Prompt
What multiplier represents a p% increase?
Answer
1 + p/100.
Card 3 of 8
MediumStudy card 3
Prompt
What multiplier represents a p% decrease?
Answer
1 − p/100.
Card 4 of 8
MediumStudy card 4
Prompt
What is the denominator in percent change?
Answer
The original value, not the new value.
Percent change
\[\frac{\text{new}-\text{original}}{\text{original}}\times100\%\]
Card 5 of 8
MediumStudy card 5
Prompt
How do you recover an original value after a percentage change?
Answer
Divide the final value by the change multiplier.
Card 6 of 8
HardStudy card 6
Prompt
How do successive percentage changes combine?
Answer
Multiply their factors; do not usually add the percentages.
Card 7 of 8
MediumStudy card 7
Prompt
Percentage points versus percent change?
Answer
Percentage points subtract percentages; percent change compares the difference with the original percentage.
Card 8 of 8
MediumStudy card 8
Prompt
What is the most important question in a percentage comparison?
Answer
Percent of what? Identify the base quantity before calculating.
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