Learn: Percentages

Welcome!Today, we'll dive into percentages, an essential topic in mathematics used in everyday life. Let's explore step-by-step how percentages work and how to calculate them.

What Are Percentages?A percentage is a way of expressing a number as a fraction of 100. It allows us to compare quantities easily. For example, 25% means 25 out of 100.

Why Are Percentages Important?Percentages are widely used for discounts, interest rates, and data comparisons. Imagine getting 20% off in a shop or calculating interest on savings—percentages make these calculations simple.

Calculating PercentagesTo calculate a percentage of a number, multiply the number by the percentage (written as a decimal). For example, to find 20% of 50, calculate 50 × 0.20 = 10.

Percentage Increase and DecreaseTo calculate percentage increase, subtract the old value from the new value, divide by the old value, and multiply by 100. For percentage decrease, do the same but divide by the initial value.

Reverse PercentagesA reverse percentage is used to find the original amount when you know the percentage and the final value. Divide the final value by the percentage (written as a decimal) to find the original value.

Review Time!Great work! You've learned about percentages, calculating them, and working with percentage increases, decreases, and reverse percentages. Let’s test your understanding with a few questions.