What is 50% of 400?
Calculate Any Percentage
Step-by-Step Solution
- Write 50% as a decimal: 50 ÷ 100 = 0.5
- Multiply: 0.5 × 400 = 200
Formula: Percentage × Amount ÷ 100 = Result
How Percentages Work
The word "percent" means "per hundred." So 50% means 50 out of every 100. The formula is: Result = (Percentage / 100) × Amount. For 50% of 400: (50 / 100) × 400 = 200.
Real-World Examples
Shopping: a 50% discount on a $400 item saves you $200. Tips: 50% tip on a $400 bill is $200. Finance: 50% annual return on a $400 investment earns $200 per year. Tax: 50% tax rate on $400 income means $200 in taxes.
Mental Math Tip
To calculate 50% 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 50% discount followed by another 50% discount is NOT 100% off. The second discount applies to the already-reduced price. Also, percentage increase and percentage points are different: going from 50% to 100% is a 50 percentage point increase but a 100% relative increase.