30% of 60 is 18, and 1.5 expressed as a percentage is 150%.
;
Calculate 30% of 60 by converting 30% to 0.3 and multiplying by 60.
Find that 30% of 60 is 18.
Express 1.5 as a percentage by multiplying 1.5 by 100.
Find that 1.5 is equal to 150% .
Explanation
Problem Analysis We are asked to solve two separate problems:
i) Find the value of 30% of 60. ii) Express 1.5 as a percentage.
Converting Percentage to Decimal To find 30% of 60, we first convert the percentage to a decimal by dividing by 100: 100 30 = 0.3
Calculating Percentage of a Number Next, we multiply the decimal by the number 60: 0.3 × 60 = 18
Finding the Value Therefore, 30% of 60 is 18.
Converting to Percentage To express 1.5 as a percentage, we multiply by 100: 1.5 × 100 = 150
Expressing as Percentage Therefore, 1.5 expressed as a percentage is 150% .
Examples
Understanding percentages is crucial in everyday life. For instance, when shopping, discounts are often expressed as percentages. If a shirt originally costs $25 and is on sale for 20% off, you can calculate the discount amount by finding 20% of $25, which is $5. Therefore, you would save $5 on the shirt. Similarly, converting decimals to percentages helps in understanding proportions, such as when interpreting survey results or financial data.