Recall that you can solve a percent problem by translating the words into an equation where the percent is written as a decimal. Example: What percent of 20 is 5 ? Translates as \( 5=20 x \) \( x=0.25 \), or \( 25 \% \) Example: What is \( 40 \% \) of 20 ? Translates as \( x=0.4(20) \) \( x=8 \)
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Mind Expander
Did you know that the concept of percentages has roots dating back to ancient civilizations? The term "percent" originates from the Latin "per centum," meaning "by the hundred." Ancient Romans used this principle in trade and taxation, which helped lay the foundation for the modern financial systems we use today. Understanding percentages is truly a timeless skill! In the real world, percentages are everywhere, from calculating discounts during sales to figuring out tip amounts at restaurants! When a store advertises "20% off," it’s a percentage problem in disguise. If you want to know how much you're saving on that adorable pair of shoes marked at $50, just use \( 0.20 \times 50 \) to calculate your savings of $10, making that charming footwear a steal at $40!