Find what percent one number is of another: word problems

Learning Objectives Identify the 'part' and the 'whole' in word problems involving percentages. Set up a ratio or fraction representing the relationship between two numbers. Convert fractions and decimals into percentages. Solve word problems to determine what percent one number is of another. Apply the concept of finding a percentage to real-world scenarios. Interpret the meaning of the calculated percentage in the context of a word problem. Ever wondered how stores calculate discounts or how much of your phone battery is left? 🔋 It all comes down to understanding percentages! In this lesson, you'll learn how to solve word problems that ask you to find what percent one number is of another. This skill is crucial for understanding data, making comp...

TermDefinitionExample PercentA rate, number, or amount in each hundred. The word 'percent' means 'per hundred' or 'out of one hundred'.25% means 25 out of 100, or the fraction 25/100. Part (Amount)The specific portion or amount being compared to the total or whole.In the question 'What percent is 15 of 60?', 15 is the part. Whole (Base)The total amount, the entire quantity, or the number that the part is being compared to.In the question 'What percent is 15 of 60?', 60 is the whole. RatioA comparison of two numbers or quantities, often expressed as a fraction.The ratio of 15 to 60 can be written as 15/60. FractionA numerical quantity that is not a whole number (e.g., 1/2, 3/4), representing a part of a whole.If 15 out of 60 items are red,...

Percent Proportion Formula $\frac{\text{Part}}{\text{Whole}} = \frac{\text{Percent}}{100}$ This formula allows you to find an unknown part, whole, or percent when the other two values are known. To find the percent, you'll solve for the 'Percent' variable. Fraction to Percent Conversion $\text{Percent} = \left(\frac{\text{Part}}{\text{Whole}}\right) \times 100\%$ To convert a fraction (or a ratio of part to whole) into a percentage, first divide the numerator by the denominator to get a decimal, then multiply the decimal by 100 and add the percent symbol. Decimal to Percent Conversion $\text{Percent} = \text{Decimal} \times 100\%$ To convert a decimal to a percentage, multiply the decimal by 100. This is equivalent to moving the decimal point two place...