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Learn: Calculating Percentages
OCR GCSE Mathematics J560
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Welcome!Today we'll learn how to calculate percentages, a key skill in mathematics and everyday life. Let's dive in and explore step by step!
What is a Percentage?A percentage is a way to express a number as a fraction of 100. For example, 50% means 50 out of 100. Percentages are used in many real-life situations, like discounts, interest rates, and statistics.
How to Calculate a PercentageTo find a percentage, divide the part by the whole and multiply by 100. For example, to find what percentage 20 is of 50: divide 20 by 50, then multiply the result by 100.
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What is Percentage Change?Percentage change measures how much a quantity has increased or decreased compared to its original value. It is calculated using the formula:Percentage change = \frac{change}{original value} \times 100
Quick check: If a price increases from £50 to £70, what is the percentage increase?
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Calculating Reverse PercentagesReverse percentages help us find the original value when the final value and percentage change are known. To calculate, divide the final value by (1 + percentage change in decimal form for increases, or 1 - percentage change for decreases).
To calculate reverse percentages, divide the {{blank0}} value by 1 {{blank1}} the percentage change in decimal form.
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Example: Reverse PercentageImagine a store offers a 20% discount, and the sale price of an item is £80. To find the original price, divide £80 by 0.8 (1 minus 0.2).
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Review Time!Great work! You've learned about percentages, percentage change, and reverse percentages. Let's test your understanding with a few questions.
Which of the following are true about percentages? (Select all that apply)
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A jacket costs £75 after a 25% discount. What was the original price?
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