What is 25% of 400?
Calculate Any Percentage
Step-by-Step Solution
- Write 25% as a decimal: 25 ÷ 100 = 0.25
- Multiply: 0.25 × 400 = 100
Formula: Percentage × Amount ÷ 100 = Result
How Percentages Work
The word "percent" means "per hundred." So 25% means 25 out of every 100. The formula is: Result = (Percentage / 100) × Amount. For 25% of 400: (25 / 100) × 400 = 100.
Real-World Examples
Shopping: a 25% discount on a $400 item saves you $100. Tips: 25% tip on a $400 bill is $100. Finance: 25% annual return on a $400 investment earns $100 per year. Tax: 25% tax rate on $400 income means $100 in taxes.
Mental Math Tip
To calculate 25% quickly: find 10% first (40), 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 25% discount followed by another 25% discount is NOT 50% off. The second discount applies to the already-reduced price. Also, percentage increase and percentage points are different: going from 25% to 50% is a 25 percentage point increase but a 100% relative increase.