What is 15% of 200?
Calculate Any Percentage
Step-by-Step Solution
- Write 15% as a decimal: 15 ÷ 100 = 0.15
- Multiply: 0.15 × 200 = 30
Formula: Percentage × Amount ÷ 100 = Result
How Percentages Work
The word "percent" means "per hundred." So 15% means 15 out of every 100. The formula is: Result = (Percentage / 100) × Amount. For 15% of 200: (15 / 100) × 200 = 30.
Real-World Examples
Shopping: a 15% discount on a $200 item saves you $30. Tips: 15% tip on a $200 bill is $30. Finance: 15% annual return on a $200 investment earns $30 per year. Tax: 15% tax rate on $200 income means $30 in taxes.
Mental Math Tip
To calculate 15% quickly: find 10% first (20), then adjust. 5% is half of 10%. 20% is double 10%. 1% is 10% divided by 10. Combine these building blocks for any percentage without a calculator.
Common Mistakes
Successive discounts do not add up. A 15% discount followed by another 15% discount is NOT 30% off. The second discount applies to the already-reduced price. Also, percentage increase and percentage points are different: going from 15% to 30% is a 15 percentage point increase but a 100% relative increase.