What is 5% of 100?
Calculate Any Percentage
Step-by-Step Solution
- Write 5% as a decimal: 5 ÷ 100 = 0.05
- Multiply: 0.05 × 100 = 5
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 100: (5 / 100) × 100 = 5.
Real-World Examples
Shopping: a 5% discount on a $100 item saves you $5. Tips: 5% tip on a $100 bill is $5. Finance: 5% annual return on a $100 investment earns $5 per year. Tax: 5% tax rate on $100 income means $5 in taxes.
Mental Math Tip
To calculate 5% quickly: find 10% first (10), 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.