What is the formula to calculate a percentage of a number?
ACT Prep Math

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Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
To calculate a percentage of a number, use the formula: \( \text{Percentage} = \frac{\text{Part}}{\text{Whole}} \times 100 \) or \( \text{Part} = \text{Percentage} \times \text{Whole} \div 100 \).
2.
FLASHCARD QUESTION
Front
How do you calculate 5% of a number?
Back
To calculate 5% of a number, multiply the number by 0.05. For example, 5% of 50 is \( 50 \times 0.05 = 2.5 \).
3.
FLASHCARD QUESTION
Front
What is the process to find the total cost after discounts?
Back
To find the total cost after discounts, first calculate the discount amount by multiplying the original price by the discount rate, then subtract the discount from the original price.
4.
FLASHCARD QUESTION
Front
How do you calculate the new average monthly bill after a percentage reduction?
Back
To calculate the new average monthly bill after a percentage reduction, multiply the original bill by the percentage reduction (as a decimal) and subtract that from the original bill. For example, a 20% reduction on a $110 bill results in a new bill of \( 110 - (110 \times 0.20) = 88 \).
5.
FLASHCARD QUESTION
Front
What is the formula to calculate take-home pay after deductions?
Back
To calculate take-home pay, subtract the total deductions from the gross pay. The formula is: \( \text{Take-home Pay} = \text{Gross Pay} - \text{Deductions} \).
6.
FLASHCARD QUESTION
Front
What does it mean to find an equivalent expression?
Back
Finding an equivalent expression means rewriting an expression in a different form that has the same value. For example, \( 80\% \text{ of } n \) can be expressed as \( 0.80n \) or \( \frac{4n}{5} \).
7.
FLASHCARD QUESTION
Front
How do you express a percentage as a fraction?
Back
To express a percentage as a fraction, divide the percentage by 100 and simplify if possible. For example, 80% can be expressed as \( \frac{80}{100} = \frac{4}{5} \).
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