What is 5% of 200?
Calculate Any Percentage
Step-by-Step Solution
- Write 5% as a decimal: 5 ÷ 100 = 0.05
- Multiply: 0.05 × 200 = 10
Formula: Percentage × Amount ÷ 100 = Result
How Percentages Work
The word "percent" means "per hundred." So 5% means 5 out of every 100. The formula is: Result = (Percentage / 100) × Amount. For 5% of 200: (5 / 100) × 200 = 10.
Real-World Examples
Shopping: a 5% discount on a $200 item saves you $10. Tips: 5% tip on a $200 bill is $10. Finance: 5% annual return on a $200 investment earns $10 per year. Tax: 5% tax rate on $200 income means $10 in taxes.
Mental Math Tip
To calculate 5% 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 5% discount followed by another 5% discount is NOT 10% off. The second discount applies to the already-reduced price. Also, percentage increase and percentage points are different: going from 5% to 10% is a 5 percentage point increase but a 100% relative increase.