Required:
Solve for rate.
110 is what % of 100?
Answer (1)
Set up the equation: 110 = x % × 100 .
Convert the percentage to a decimal: 110 = 100 x × 100 .
Simplify and solve for x : x = 100 110 = 1.1 .
Convert back to percentage: x = 1.1 × 100 = 110% . The answer is 110% .
Explanation
Problem Setup We need to find what percentage 110 is of 100. Let's denote the percentage as x .
Equation Formulation We can set up the equation: 110 = x % × 100 . This means that 110 is equal to x percent of 100.
Converting Percentage to Decimal To solve for x , we can rewrite the percentage as a decimal: 110 = 100 x × 100 .
Isolating x Now, we can simplify the equation by dividing both sides by 100: 100 110 = x .
Calculating Percentage Calculating the value of x , we get x = 1.1 . To express this as a percentage, we multiply by 100: x = 1.1 × 100 = 110 .
Final Answer Therefore, 110 is 110% of 100.
Examples
Understanding percentages is crucial in everyday life. For instance, if a store offers a 20% discount on an item originally priced at $100, you can calculate the savings by finding 20% of $100, which is $20. Similarly, if you want to calculate the sales tax on a purchase, you can determine the percentage of the purchase amount that goes to taxes. Percentages are also used to calculate tips at restaurants, interest rates on loans, and investment returns.
